---
_id: '60298'
abstract:
- lang: eng
  text: In this work, we introduce PHOENIX, a highly optimized explicit open-source
    solver for two-dimensional nonlinear Schrödinger equations with extensions. The
    nonlinear Schrödinger equation and its extensions (Gross-Pitaevskii equation)
    are widely studied to model and analyze complex phenomena in fields such as optics,
    condensed matter physics, fluid dynamics, and plasma physics. It serves as a powerful
    tool for understanding nonlinear wave dynamics, soliton formation, and the interplay
    between nonlinearity, dispersion, and diffraction. By extending the nonlinear
    Schrödinger equation, various physical effects such as non-Hermiticity, spin-orbit
    interaction, and quantum optical aspects can be incorporated. PHOENIX is designed
    to accommodate a wide range of applications by a straightforward extendability
    without the need for user knowledge of computing architectures or performance
    optimization. The high performance and power efficiency of PHOENIX are demonstrated
    on a wide range of entry-class to high-end consumer and high-performance computing
    GPUs and CPUs. Compared to a more conventional MATLAB implementation, a speedup
    of up to three orders of magnitude and energy savings of up to 99.8% are achieved.
    The performance is compared to a performance model showing that PHOENIX performs
    close to the relevant performance bounds in many situations. The possibilities
    of PHOENIX are demonstrated with a range of practical examples from the realm
    of nonlinear (quantum) photonics in planar microresonators with active media including
    exciton-polariton condensates. Examples range from solutions on very large grids,
    the use of local optimization algorithms, to Monte Carlo ensemble evolutions with
    quantum noise enabling the tomography of the system's quantum state.
article_number: '109689'
article_type: original
author:
- first_name: Jan
  full_name: Wingenbach, Jan
  id: '69187'
  last_name: Wingenbach
- first_name: David
  full_name: Bauch, David
  id: '44172'
  last_name: Bauch
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Robert
  full_name: Schade, Robert
  id: '75963'
  last_name: Schade
  orcid: 0000-0002-6268-5397
- first_name: Christian
  full_name: Plessl, Christian
  id: '16153'
  last_name: Plessl
  orcid: 0000-0001-5728-9982
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: Wingenbach J, Bauch D, Ma X, Schade R, Plessl C, Schumacher S. PHOENIX – Paderborn
    highly optimized and energy efficient solver for two-dimensional nonlinear Schrödinger
    equations with integrated extensions. <i>Computer Physics Communications</i>.
    2025;315. doi:<a href="https://doi.org/10.1016/j.cpc.2025.109689">10.1016/j.cpc.2025.109689</a>
  apa: Wingenbach, J., Bauch, D., Ma, X., Schade, R., Plessl, C., &#38; Schumacher,
    S. (2025). PHOENIX – Paderborn highly optimized and energy efficient solver for
    two-dimensional nonlinear Schrödinger equations with integrated extensions. <i>Computer
    Physics Communications</i>, <i>315</i>, Article 109689. <a href="https://doi.org/10.1016/j.cpc.2025.109689">https://doi.org/10.1016/j.cpc.2025.109689</a>
  bibtex: '@article{Wingenbach_Bauch_Ma_Schade_Plessl_Schumacher_2025, title={PHOENIX
    – Paderborn highly optimized and energy efficient solver for two-dimensional nonlinear
    Schrödinger equations with integrated extensions}, volume={315}, DOI={<a href="https://doi.org/10.1016/j.cpc.2025.109689">10.1016/j.cpc.2025.109689</a>},
    number={109689}, journal={Computer Physics Communications}, publisher={Elsevier
    BV}, author={Wingenbach, Jan and Bauch, David and Ma, Xuekai and Schade, Robert
    and Plessl, Christian and Schumacher, Stefan}, year={2025} }'
  chicago: Wingenbach, Jan, David Bauch, Xuekai Ma, Robert Schade, Christian Plessl,
    and Stefan Schumacher. “PHOENIX – Paderborn Highly Optimized and Energy Efficient
    Solver for Two-Dimensional Nonlinear Schrödinger Equations with Integrated Extensions.”
    <i>Computer Physics Communications</i> 315 (2025). <a href="https://doi.org/10.1016/j.cpc.2025.109689">https://doi.org/10.1016/j.cpc.2025.109689</a>.
  ieee: 'J. Wingenbach, D. Bauch, X. Ma, R. Schade, C. Plessl, and S. Schumacher,
    “PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional
    nonlinear Schrödinger equations with integrated extensions,” <i>Computer Physics
    Communications</i>, vol. 315, Art. no. 109689, 2025, doi: <a href="https://doi.org/10.1016/j.cpc.2025.109689">10.1016/j.cpc.2025.109689</a>.'
  mla: Wingenbach, Jan, et al. “PHOENIX – Paderborn Highly Optimized and Energy Efficient
    Solver for Two-Dimensional Nonlinear Schrödinger Equations with Integrated Extensions.”
    <i>Computer Physics Communications</i>, vol. 315, 109689, Elsevier BV, 2025, doi:<a
    href="https://doi.org/10.1016/j.cpc.2025.109689">10.1016/j.cpc.2025.109689</a>.
  short: J. Wingenbach, D. Bauch, X. Ma, R. Schade, C. Plessl, S. Schumacher, Computer
    Physics Communications 315 (2025).
date_created: 2025-06-23T07:38:52Z
date_updated: 2025-06-29T12:00:36Z
department:
- _id: '27'
doi: 10.1016/j.cpc.2025.109689
intvolume: '       315'
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Computer Physics Communications
publication_identifier:
  issn:
  - 0010-4655
publication_status: published
publisher: Elsevier BV
status: public
title: PHOENIX – Paderborn highly optimized and energy efficient solver for two-dimensional
  nonlinear Schrödinger equations with integrated extensions
type: journal_article
user_id: '75963'
volume: 315
year: '2025'
...
---
_id: '61249'
article_number: '024029'
author:
- first_name: Qiang
  full_name: Ai, Qiang
  last_name: Ai
- first_name: Jan
  full_name: Wingenbach, Jan
  id: '69187'
  last_name: Wingenbach
- first_name: Xinmiao
  full_name: Yang, Xinmiao
  last_name: Yang
- first_name: Jing
  full_name: Wei, Jing
  last_name: Wei
- first_name: Zaharias
  full_name: Hatzopoulos, Zaharias
  last_name: Hatzopoulos
- first_name: Pavlos G.
  full_name: Savvidis, Pavlos G.
  last_name: Savvidis
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Ai Q, Wingenbach J, Yang X, et al. Optically and remotely controlling localization
    of exciton-polariton condensates in a potential lattice. <i>Physical Review Applied</i>.
    2025;23(2). doi:<a href="https://doi.org/10.1103/physrevapplied.23.024029">10.1103/physrevapplied.23.024029</a>
  apa: Ai, Q., Wingenbach, J., Yang, X., Wei, J., Hatzopoulos, Z., Savvidis, P. G.,
    Schumacher, S., Ma, X., &#38; Gao, T. (2025). Optically and remotely controlling
    localization of exciton-polariton condensates in a potential lattice. <i>Physical
    Review Applied</i>, <i>23</i>(2), Article 024029. <a href="https://doi.org/10.1103/physrevapplied.23.024029">https://doi.org/10.1103/physrevapplied.23.024029</a>
  bibtex: '@article{Ai_Wingenbach_Yang_Wei_Hatzopoulos_Savvidis_Schumacher_Ma_Gao_2025,
    title={Optically and remotely controlling localization of exciton-polariton condensates
    in a potential lattice}, volume={23}, DOI={<a href="https://doi.org/10.1103/physrevapplied.23.024029">10.1103/physrevapplied.23.024029</a>},
    number={2024029}, journal={Physical Review Applied}, publisher={American Physical
    Society (APS)}, author={Ai, Qiang and Wingenbach, Jan and Yang, Xinmiao and Wei,
    Jing and Hatzopoulos, Zaharias and Savvidis, Pavlos G. and Schumacher, Stefan
    and Ma, Xuekai and Gao, Tingge}, year={2025} }'
  chicago: Ai, Qiang, Jan Wingenbach, Xinmiao Yang, Jing Wei, Zaharias Hatzopoulos,
    Pavlos G. Savvidis, Stefan Schumacher, Xuekai Ma, and Tingge Gao. “Optically and
    Remotely Controlling Localization of Exciton-Polariton Condensates in a Potential
    Lattice.” <i>Physical Review Applied</i> 23, no. 2 (2025). <a href="https://doi.org/10.1103/physrevapplied.23.024029">https://doi.org/10.1103/physrevapplied.23.024029</a>.
  ieee: 'Q. Ai <i>et al.</i>, “Optically and remotely controlling localization of
    exciton-polariton condensates in a potential lattice,” <i>Physical Review Applied</i>,
    vol. 23, no. 2, Art. no. 024029, 2025, doi: <a href="https://doi.org/10.1103/physrevapplied.23.024029">10.1103/physrevapplied.23.024029</a>.'
  mla: Ai, Qiang, et al. “Optically and Remotely Controlling Localization of Exciton-Polariton
    Condensates in a Potential Lattice.” <i>Physical Review Applied</i>, vol. 23,
    no. 2, 024029, American Physical Society (APS), 2025, doi:<a href="https://doi.org/10.1103/physrevapplied.23.024029">10.1103/physrevapplied.23.024029</a>.
  short: Q. Ai, J. Wingenbach, X. Yang, J. Wei, Z. Hatzopoulos, P.G. Savvidis, S.
    Schumacher, X. Ma, T. Gao, Physical Review Applied 23 (2025).
date_created: 2025-09-12T11:01:17Z
date_updated: 2025-09-12T11:02:33Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '230'
- _id: '35'
- _id: '27'
doi: 10.1103/physrevapplied.23.024029
intvolume: '        23'
issue: '2'
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Physical Review Applied
publication_identifier:
  issn:
  - 2331-7019
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Optically and remotely controlling localization of exciton-polariton condensates
  in a potential lattice
type: journal_article
user_id: '16199'
volume: 23
year: '2025'
...
---
_id: '62867'
abstract:
- lang: eng
  text: "<jats:title>ABSTRACT</jats:title>\r\n                  <jats:p>Effective
    manipulation of photonic spin–orbit coupling (SOC) in microcavities is of fundamental
    importance within topological photonics and applications. Anisotropic organic
    single‐crystalline materials can induce abundant SOC phenomenon due to their flexible
    tunability of molecular geometries, however, the intrinsic relationship between
    molecular geometries/orientations in 3D space and photonic SOC is lacking. In
    this study, we design two kinds of 2D organic polymorphs for the construction
    of organic microcavities to investigate the structure‐performance relationships.
    In two polymorphic microcavities, two distinctive photonic SOC phenomena are observed
    regardless of the in‐plane anisotropy of organic polymorphs. Theoretical analysis
    indicates that the photonic SOC strength is strongly influenced by the synergies
    between the crystal anisotropy and the tilted collective molecular transition
    dipole moment. Our results uncover the correlation mechanism between the structure
    of molecules and photonic SOC and open an avenue to engineer complex photonic
    SOC by use of organic microstructures towards the development of diverse integrated
    photonic devices.</jats:p>"
article_number: e01874
author:
- first_name: Ying
  full_name: Ji, Ying
  last_name: Ji
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Han
  full_name: Huang, Han
  last_name: Huang
- first_name: Yibo
  full_name: Deng, Yibo
  last_name: Deng
- first_name: Pingyang
  full_name: Wang, Pingyang
  last_name: Wang
- first_name: Teng
  full_name: Long, Teng
  last_name: Long
- first_name: Yuan
  full_name: Li, Yuan
  last_name: Li
- first_name: Ruiyang
  full_name: Zhao, Ruiyang
  last_name: Zhao
- first_name: Yunfei
  full_name: Li, Yunfei
  last_name: Li
- first_name: Cunbin
  full_name: An, Cunbin
  last_name: An
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Chunling
  full_name: Gu, Chunling
  last_name: Gu
- first_name: Bo
  full_name: Liao, Bo
  last_name: Liao
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
citation:
  ama: Ji Y, Ma X, Huang H, et al. Molecular Orientation‐Dependent Photonic Spin–Orbit
    Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals. <i>Laser
    &#38;amp; Photonics Reviews</i>. Published online 2025. doi:<a href="https://doi.org/10.1002/lpor.202501874">10.1002/lpor.202501874</a>
  apa: Ji, Y., Ma, X., Huang, H., Deng, Y., Wang, P., Long, T., Li, Y., Zhao, R.,
    Li, Y., An, C., Schumacher, S., Gu, C., Liao, B., Fu, H., &#38; Liao, Q. (2025).
    Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities
    Filled with 2D Polymorphic Crystals. <i>Laser &#38;amp; Photonics Reviews</i>,
    Article e01874. <a href="https://doi.org/10.1002/lpor.202501874">https://doi.org/10.1002/lpor.202501874</a>
  bibtex: '@article{Ji_Ma_Huang_Deng_Wang_Long_Li_Zhao_Li_An_et al._2025, title={Molecular
    Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities Filled
    with 2D Polymorphic Crystals}, DOI={<a href="https://doi.org/10.1002/lpor.202501874">10.1002/lpor.202501874</a>},
    number={e01874}, journal={Laser &#38;amp; Photonics Reviews}, publisher={Wiley},
    author={Ji, Ying and Ma, Xuekai and Huang, Han and Deng, Yibo and Wang, Pingyang
    and Long, Teng and Li, Yuan and Zhao, Ruiyang and Li, Yunfei and An, Cunbin and
    et al.}, year={2025} }'
  chicago: Ji, Ying, Xuekai Ma, Han Huang, Yibo Deng, Pingyang Wang, Teng Long, Yuan
    Li, et al. “Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic
    Microcavities Filled with 2D Polymorphic Crystals.” <i>Laser &#38;amp; Photonics
    Reviews</i>, 2025. <a href="https://doi.org/10.1002/lpor.202501874">https://doi.org/10.1002/lpor.202501874</a>.
  ieee: 'Y. Ji <i>et al.</i>, “Molecular Orientation‐Dependent Photonic Spin–Orbit
    Coupling in Organic Microcavities Filled with 2D Polymorphic Crystals,” <i>Laser
    &#38;amp; Photonics Reviews</i>, Art. no. e01874, 2025, doi: <a href="https://doi.org/10.1002/lpor.202501874">10.1002/lpor.202501874</a>.'
  mla: Ji, Ying, et al. “Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling
    in Organic Microcavities Filled with 2D Polymorphic Crystals.” <i>Laser &#38;amp;
    Photonics Reviews</i>, e01874, Wiley, 2025, doi:<a href="https://doi.org/10.1002/lpor.202501874">10.1002/lpor.202501874</a>.
  short: Y. Ji, X. Ma, H. Huang, Y. Deng, P. Wang, T. Long, Y. Li, R. Zhao, Y. Li,
    C. An, S. Schumacher, C. Gu, B. Liao, H. Fu, Q. Liao, Laser &#38;amp; Photonics
    Reviews (2025).
date_created: 2025-12-04T12:33:48Z
date_updated: 2025-12-04T12:34:45Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1002/lpor.202501874
language:
- iso: eng
publication: Laser &amp; Photonics Reviews
publication_identifier:
  issn:
  - 1863-8880
  - 1863-8899
publication_status: published
publisher: Wiley
status: public
title: Molecular Orientation‐Dependent Photonic Spin–Orbit Coupling in Organic Microcavities
  Filled with 2D Polymorphic Crystals
type: journal_article
user_id: '16199'
year: '2025'
...
---
_id: '62862'
abstract:
- lang: eng
  text: <jats:p>Exciton polariton condensates are macroscopic coherent states in which
    topological excitations can be observed. In this work, we observe the excitation
    of the vortices and realize tuning the topological charge by manipulating the
    pumping configurations. Using a digital micromirror device, we constructed an
    annular pumping pattern where the inner and outer rings can be easily tuned. Both
    the number and the topological charge of the vortices can be changed by slightly
    tuning the inner ring position against the outer ring. The experimental results
    can be reproduced in theory by the Gross–Pitaevskii equation. Our work offers
    to generate and manipulate vortices in exciton polariton condensates using a straightforward
    optical method.</jats:p>
article_number: '121103'
author:
- first_name: Qiang
  full_name: Ai, Qiang
  last_name: Ai
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Franziska
  full_name: Barkhausen, Franziska
  id: '63631'
  last_name: Barkhausen
- first_name: Xiaokun
  full_name: Zhai, Xiaokun
  last_name: Zhai
- first_name: Chunzi
  full_name: Xing, Chunzi
  last_name: Xing
- first_name: Xinmiao
  full_name: Yang, Xinmiao
  last_name: Yang
- first_name: Peilin
  full_name: Wang, Peilin
  last_name: Wang
- first_name: Tianyu
  full_name: Liu, Tianyu
  last_name: Liu
- first_name: Yong
  full_name: Zhang, Yong
  last_name: Zhang
- first_name: Yazhou
  full_name: Gu, Yazhou
  last_name: Gu
- first_name: Peigang
  full_name: Li, Peigang
  last_name: Li
- first_name: Zhitong
  full_name: Li, Zhitong
  last_name: Li
- first_name: Zacharias
  full_name: Hatzopoulos, Zacharias
  last_name: Hatzopoulos
- first_name: Pavlos G.
  full_name: Savvidis, Pavlos G.
  last_name: Savvidis
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Ai Q, Ma X, Barkhausen F, et al. Tuning polariton vortices in an asymmetric
    ring potential. <i>Applied Physics Letters</i>. 2025;127(12). doi:<a href="https://doi.org/10.1063/5.0287076">10.1063/5.0287076</a>
  apa: Ai, Q., Ma, X., Barkhausen, F., Zhai, X., Xing, C., Yang, X., Wang, P., Liu,
    T., Zhang, Y., Gu, Y., Li, P., Li, Z., Hatzopoulos, Z., Savvidis, P. G., Schumacher,
    S., &#38; Gao, T. (2025). Tuning polariton vortices in an asymmetric ring potential.
    <i>Applied Physics Letters</i>, <i>127</i>(12), Article 121103. <a href="https://doi.org/10.1063/5.0287076">https://doi.org/10.1063/5.0287076</a>
  bibtex: '@article{Ai_Ma_Barkhausen_Zhai_Xing_Yang_Wang_Liu_Zhang_Gu_et al._2025,
    title={Tuning polariton vortices in an asymmetric ring potential}, volume={127},
    DOI={<a href="https://doi.org/10.1063/5.0287076">10.1063/5.0287076</a>}, number={12121103},
    journal={Applied Physics Letters}, publisher={AIP Publishing}, author={Ai, Qiang
    and Ma, Xuekai and Barkhausen, Franziska and Zhai, Xiaokun and Xing, Chunzi and
    Yang, Xinmiao and Wang, Peilin and Liu, Tianyu and Zhang, Yong and Gu, Yazhou
    and et al.}, year={2025} }'
  chicago: Ai, Qiang, Xuekai Ma, Franziska Barkhausen, Xiaokun Zhai, Chunzi Xing,
    Xinmiao Yang, Peilin Wang, et al. “Tuning Polariton Vortices in an Asymmetric
    Ring Potential.” <i>Applied Physics Letters</i> 127, no. 12 (2025). <a href="https://doi.org/10.1063/5.0287076">https://doi.org/10.1063/5.0287076</a>.
  ieee: 'Q. Ai <i>et al.</i>, “Tuning polariton vortices in an asymmetric ring potential,”
    <i>Applied Physics Letters</i>, vol. 127, no. 12, Art. no. 121103, 2025, doi:
    <a href="https://doi.org/10.1063/5.0287076">10.1063/5.0287076</a>.'
  mla: Ai, Qiang, et al. “Tuning Polariton Vortices in an Asymmetric Ring Potential.”
    <i>Applied Physics Letters</i>, vol. 127, no. 12, 121103, AIP Publishing, 2025,
    doi:<a href="https://doi.org/10.1063/5.0287076">10.1063/5.0287076</a>.
  short: Q. Ai, X. Ma, F. Barkhausen, X. Zhai, C. Xing, X. Yang, P. Wang, T. Liu,
    Y. Zhang, Y. Gu, P. Li, Z. Li, Z. Hatzopoulos, P.G. Savvidis, S. Schumacher, T.
    Gao, Applied Physics Letters 127 (2025).
date_created: 2025-12-04T12:25:12Z
date_updated: 2025-12-04T12:27:02Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
- _id: '27'
doi: 10.1063/5.0287076
intvolume: '       127'
issue: '12'
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Applied Physics Letters
publication_identifier:
  issn:
  - 0003-6951
  - 1077-3118
publication_status: published
publisher: AIP Publishing
status: public
title: Tuning polariton vortices in an asymmetric ring potential
type: journal_article
user_id: '16199'
volume: 127
year: '2025'
...
---
_id: '62865'
article_number: '115305'
author:
- first_name: Jinming
  full_name: Sun, Jinming
  last_name: Sun
- first_name: Manna
  full_name: Chen, Manna
  last_name: Chen
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Wei
  full_name: Hu, Wei
  last_name: Hu
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
citation:
  ama: Sun J, Chen M, Schumacher S, Hu W, Ma X. Higher-order dark solitons and control
    dynamics in microcavity polariton condensates. <i>Physical Review B</i>. 2025;112(11).
    doi:<a href="https://doi.org/10.1103/p357-vyq8">10.1103/p357-vyq8</a>
  apa: Sun, J., Chen, M., Schumacher, S., Hu, W., &#38; Ma, X. (2025). Higher-order
    dark solitons and control dynamics in microcavity polariton condensates. <i>Physical
    Review B</i>, <i>112</i>(11), Article 115305. <a href="https://doi.org/10.1103/p357-vyq8">https://doi.org/10.1103/p357-vyq8</a>
  bibtex: '@article{Sun_Chen_Schumacher_Hu_Ma_2025, title={Higher-order dark solitons
    and control dynamics in microcavity polariton condensates}, volume={112}, DOI={<a
    href="https://doi.org/10.1103/p357-vyq8">10.1103/p357-vyq8</a>}, number={11115305},
    journal={Physical Review B}, publisher={American Physical Society (APS)}, author={Sun,
    Jinming and Chen, Manna and Schumacher, Stefan and Hu, Wei and Ma, Xuekai}, year={2025}
    }'
  chicago: Sun, Jinming, Manna Chen, Stefan Schumacher, Wei Hu, and Xuekai Ma. “Higher-Order
    Dark Solitons and Control Dynamics in Microcavity Polariton Condensates.” <i>Physical
    Review B</i> 112, no. 11 (2025). <a href="https://doi.org/10.1103/p357-vyq8">https://doi.org/10.1103/p357-vyq8</a>.
  ieee: 'J. Sun, M. Chen, S. Schumacher, W. Hu, and X. Ma, “Higher-order dark solitons
    and control dynamics in microcavity polariton condensates,” <i>Physical Review
    B</i>, vol. 112, no. 11, Art. no. 115305, 2025, doi: <a href="https://doi.org/10.1103/p357-vyq8">10.1103/p357-vyq8</a>.'
  mla: Sun, Jinming, et al. “Higher-Order Dark Solitons and Control Dynamics in Microcavity
    Polariton Condensates.” <i>Physical Review B</i>, vol. 112, no. 11, 115305, American
    Physical Society (APS), 2025, doi:<a href="https://doi.org/10.1103/p357-vyq8">10.1103/p357-vyq8</a>.
  short: J. Sun, M. Chen, S. Schumacher, W. Hu, X. Ma, Physical Review B 112 (2025).
date_created: 2025-12-04T12:28:52Z
date_updated: 2025-12-04T12:29:37Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1103/p357-vyq8
intvolume: '       112'
issue: '11'
language:
- iso: eng
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Higher-order dark solitons and control dynamics in microcavity polariton condensates
type: journal_article
user_id: '16199'
volume: 112
year: '2025'
...
---
_id: '60992'
abstract:
- lang: eng
  text: Non-Hermitian systems hosting exceptional points (EPs) exhibit enhanced sensitivity
    and unconventional mode dynamics. Going beyond isolated EPs, here we report on
    the existence of exceptional rings (ERs) in planar optical resonators with specific
    form of circular dichroism and TE-TM splitting. Such exceptional rings possess
    intriguing topologies as discussed earlier for condensed matter systems, but they
    remain virtually unexplored in presence of nonlinearity, for which our photonic
    platform is ideal. We find that when Kerr-type nonlinearity (or saturable gain)
    is introduced, the linear ER splits into two concentric ERs, with the larger-radius
    ring being a ring of third-order EPs. Transitioning from linear to nonlinear regime,
    we present a rigorous analysis of spectral topology and report enhanced and adjustable
    perturbation response in the nonlinear regime. Whereas certain features are specific
    to our system, the results on non-Hermitian spectral topology and nonlinearity-enhanced
    perturbation response are generic and equally relevant to a broad class of other
    nonlinear non-Hermitian systems, providing a universal framework for engineering
    ERs and EPs in nonlinear non-Hermitian systems.
author:
- first_name: Jan
  full_name: Wingenbach, Jan
  id: '69187'
  last_name: Wingenbach
- first_name: 'Laura '
  full_name: 'Ares Santos, Laura '
  last_name: Ares Santos
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Jan
  full_name: Sperling, Jan
  id: '75127'
  last_name: Sperling
  orcid: 0000-0002-5844-3205
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
citation:
  ama: Wingenbach J, Ares Santos L, Ma X, Sperling J, Schumacher S. Sensitivity and
    Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities.
    <i>Arxiv</i>. Published online 2025. doi:<a href="https://doi.org/10.48550/ARXIV.2507.07099">10.48550/ARXIV.2507.07099</a>
  apa: Wingenbach, J., Ares Santos, L., Ma, X., Sperling, J., &#38; Schumacher, S.
    (2025). Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian
    Planar Optical Microcavities. <i>Arxiv</i>. <a href="https://doi.org/10.48550/ARXIV.2507.07099">https://doi.org/10.48550/ARXIV.2507.07099</a>
  bibtex: '@article{Wingenbach_Ares Santos_Ma_Sperling_Schumacher_2025, title={Sensitivity
    and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities},
    DOI={<a href="https://doi.org/10.48550/ARXIV.2507.07099">10.48550/ARXIV.2507.07099</a>},
    journal={Arxiv}, publisher={Arxiv}, author={Wingenbach, Jan and Ares Santos, Laura  and
    Ma, Xuekai and Sperling, Jan and Schumacher, Stefan}, year={2025} }'
  chicago: Wingenbach, Jan, Laura  Ares Santos, Xuekai Ma, Jan Sperling, and Stefan
    Schumacher. “Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian
    Planar Optical Microcavities.” <i>Arxiv</i>, 2025. <a href="https://doi.org/10.48550/ARXIV.2507.07099">https://doi.org/10.48550/ARXIV.2507.07099</a>.
  ieee: 'J. Wingenbach, L. Ares Santos, X. Ma, J. Sperling, and S. Schumacher, “Sensitivity
    and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar Optical Microcavities,”
    <i>Arxiv</i>, 2025, doi: <a href="https://doi.org/10.48550/ARXIV.2507.07099">10.48550/ARXIV.2507.07099</a>.'
  mla: Wingenbach, Jan, et al. “Sensitivity and Topology of Exceptional Rings in Nonlinear
    Non-Hermitian Planar Optical Microcavities.” <i>Arxiv</i>, Arxiv, 2025, doi:<a
    href="https://doi.org/10.48550/ARXIV.2507.07099">10.48550/ARXIV.2507.07099</a>.
  short: J. Wingenbach, L. Ares Santos, X. Ma, J. Sperling, S. Schumacher, Arxiv (2025).
date_created: 2025-08-25T11:15:22Z
date_updated: 2025-12-05T13:55:48Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '706'
- _id: '705'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '27'
doi: 10.48550/ARXIV.2507.07099
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '56'
  name: TRR 142 - Project Area C
publication: Arxiv
publisher: Arxiv
status: public
title: Sensitivity and Topology of Exceptional Rings in Nonlinear Non-Hermitian Planar
  Optical Microcavities
type: journal_article
user_id: '16199'
year: '2025'
...
---
_id: '51105'
author:
- first_name: Jan
  full_name: Wingenbach, Jan
  id: '69187'
  last_name: Wingenbach
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
citation:
  ama: Wingenbach J, Schumacher S, Ma X. Manipulating spectral topology and exceptional
    points by nonlinearity in non-Hermitian polariton systems. <i>Physical Review
    Research, in press</i>. Published online 2024.
  apa: Wingenbach, J., Schumacher, S., &#38; Ma, X. (2024). Manipulating spectral
    topology and exceptional points by nonlinearity in non-Hermitian polariton systems.
    <i>Physical Review Research, in Press</i>.
  bibtex: '@article{Wingenbach_Schumacher_Ma_2024, title={Manipulating spectral topology
    and exceptional points by nonlinearity in non-Hermitian polariton systems}, journal={Physical
    Review Research, in press}, author={Wingenbach, Jan and Schumacher, Stefan and
    Ma, Xuekai}, year={2024} }'
  chicago: Wingenbach, Jan, Stefan Schumacher, and Xuekai Ma. “Manipulating Spectral
    Topology and Exceptional Points by Nonlinearity in Non-Hermitian Polariton Systems.”
    <i>Physical Review Research, in Press</i>, 2024.
  ieee: J. Wingenbach, S. Schumacher, and X. Ma, “Manipulating spectral topology and
    exceptional points by nonlinearity in non-Hermitian polariton systems,” <i>Physical
    Review Research, in press</i>, 2024.
  mla: Wingenbach, Jan, et al. “Manipulating Spectral Topology and Exceptional Points
    by Nonlinearity in Non-Hermitian Polariton Systems.” <i>Physical Review Research,
    in Press</i>, 2024.
  short: J. Wingenbach, S. Schumacher, X. Ma, Physical Review Research, in Press (2024).
date_created: 2024-01-31T13:49:29Z
date_updated: 2024-01-31T13:52:56Z
department:
- _id: '15'
language:
- iso: eng
publication: Physical Review Research, in press
status: public
title: Manipulating spectral topology and exceptional points by nonlinearity in non-Hermitian
  polariton systems
type: journal_article
user_id: '59416'
year: '2024'
...
---
_id: '51104'
author:
- first_name: Qian
  full_name: Liang, Qian
  last_name: Liang
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Chunling
  full_name: Gu, Chunling
  last_name: Gu
- first_name: Jiahuan
  full_name: Ren, Jiahuan
  last_name: Ren
- first_name: Cunbin
  full_name: An, Cunbin
  last_name: An
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
- first_name: Stefan
  full_name: Schumacher, Stefan
  last_name: Schumacher
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
citation:
  ama: Liang Q, Ma X, Gu C, et al. Photochemical Reaction Enabling the Engineering
    of Photonic Spin−Orbit Coupling in Organic-Crystal Optical Microcavities. <i>Journal
    of the American Chemical Society (JACS)</i>. Published online 2024. doi:<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>
  apa: Liang, Q., Ma, X., Gu, C., Ren, J., An, C., Fu, H., Schumacher, S., &#38; Liao,
    Q. (2024). Photochemical Reaction Enabling the Engineering of Photonic Spin−Orbit
    Coupling in Organic-Crystal Optical Microcavities. <i>Journal of the American
    Chemical Society (JACS)</i>. <a href="https://doi.org/10.1021/jacs.3c11373">https://doi.org/10.1021/jacs.3c11373</a>
  bibtex: '@article{Liang_Ma_Gu_Ren_An_Fu_Schumacher_Liao_2024, title={Photochemical
    Reaction Enabling the Engineering of Photonic Spin−Orbit Coupling in Organic-Crystal
    Optical Microcavities}, DOI={<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>},
    journal={Journal of the American Chemical Society (JACS)}, author={Liang, Qian
    and Ma, Xuekai and Gu, Chunling and Ren, Jiahuan and An, Cunbin and Fu, Hongbing
    and Schumacher, Stefan and Liao, Qing}, year={2024} }'
  chicago: Liang, Qian, Xuekai Ma, Chunling Gu, Jiahuan Ren, Cunbin An, Hongbing Fu,
    Stefan Schumacher, and Qing Liao. “Photochemical Reaction Enabling the Engineering
    of Photonic Spin−Orbit Coupling in Organic-Crystal Optical Microcavities.” <i>Journal
    of the American Chemical Society (JACS)</i>, 2024. <a href="https://doi.org/10.1021/jacs.3c11373">https://doi.org/10.1021/jacs.3c11373</a>.
  ieee: 'Q. Liang <i>et al.</i>, “Photochemical Reaction Enabling the Engineering
    of Photonic Spin−Orbit Coupling in Organic-Crystal Optical Microcavities,” <i>Journal
    of the American Chemical Society (JACS)</i>, 2024, doi: <a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>.'
  mla: Liang, Qian, et al. “Photochemical Reaction Enabling the Engineering of Photonic
    Spin−Orbit Coupling in Organic-Crystal Optical Microcavities.” <i>Journal of the
    American Chemical Society (JACS)</i>, 2024, doi:<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>.
  short: Q. Liang, X. Ma, C. Gu, J. Ren, C. An, H. Fu, S. Schumacher, Q. Liao, Journal
    of the American Chemical Society (JACS) (2024).
date_created: 2024-01-31T13:47:24Z
date_updated: 2024-02-05T08:32:55Z
department:
- _id: '15'
doi: 10.1021/jacs.3c11373
language:
- iso: eng
publication: Journal of the American Chemical Society (JACS)
status: public
title: Photochemical Reaction Enabling the Engineering of Photonic Spin−Orbit Coupling
  in Organic-Crystal Optical Microcavities
type: journal_article
user_id: '59416'
year: '2024'
...
---
_id: '61250'
author:
- first_name: Christoph
  full_name: Bennenhei, Christoph
  last_name: Bennenhei
- first_name: Hangyong
  full_name: Shan, Hangyong
  last_name: Shan
- first_name: Marti
  full_name: Struve, Marti
  last_name: Struve
- first_name: Nils
  full_name: Kunte, Nils
  last_name: Kunte
- first_name: Falk
  full_name: Eilenberger, Falk
  last_name: Eilenberger
- first_name: Jürgen
  full_name: Ohmer, Jürgen
  last_name: Ohmer
- first_name: Utz
  full_name: Fischer, Utz
  last_name: Fischer
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Christian
  full_name: Schneider, Christian
  last_name: Schneider
- first_name: Martin
  full_name: Esmann, Martin
  last_name: Esmann
citation:
  ama: Bennenhei C, Shan H, Struve M, et al. Organic Room-Temperature Polariton Condensate
    in a Higher-Order Topological Lattice. <i>ACS Photonics</i>. 2024;11(8):3046-3054.
    doi:<a href="https://doi.org/10.1021/acsphotonics.4c00268">10.1021/acsphotonics.4c00268</a>
  apa: Bennenhei, C., Shan, H., Struve, M., Kunte, N., Eilenberger, F., Ohmer, J.,
    Fischer, U., Schumacher, S., Ma, X., Schneider, C., &#38; Esmann, M. (2024). Organic
    Room-Temperature Polariton Condensate in a Higher-Order Topological Lattice. <i>ACS
    Photonics</i>, <i>11</i>(8), 3046–3054. <a href="https://doi.org/10.1021/acsphotonics.4c00268">https://doi.org/10.1021/acsphotonics.4c00268</a>
  bibtex: '@article{Bennenhei_Shan_Struve_Kunte_Eilenberger_Ohmer_Fischer_Schumacher_Ma_Schneider_et
    al._2024, title={Organic Room-Temperature Polariton Condensate in a Higher-Order
    Topological Lattice}, volume={11}, DOI={<a href="https://doi.org/10.1021/acsphotonics.4c00268">10.1021/acsphotonics.4c00268</a>},
    number={8}, journal={ACS Photonics}, publisher={American Chemical Society (ACS)},
    author={Bennenhei, Christoph and Shan, Hangyong and Struve, Marti and Kunte, Nils
    and Eilenberger, Falk and Ohmer, Jürgen and Fischer, Utz and Schumacher, Stefan
    and Ma, Xuekai and Schneider, Christian and et al.}, year={2024}, pages={3046–3054}
    }'
  chicago: 'Bennenhei, Christoph, Hangyong Shan, Marti Struve, Nils Kunte, Falk Eilenberger,
    Jürgen Ohmer, Utz Fischer, et al. “Organic Room-Temperature Polariton Condensate
    in a Higher-Order Topological Lattice.” <i>ACS Photonics</i> 11, no. 8 (2024):
    3046–54. <a href="https://doi.org/10.1021/acsphotonics.4c00268">https://doi.org/10.1021/acsphotonics.4c00268</a>.'
  ieee: 'C. Bennenhei <i>et al.</i>, “Organic Room-Temperature Polariton Condensate
    in a Higher-Order Topological Lattice,” <i>ACS Photonics</i>, vol. 11, no. 8,
    pp. 3046–3054, 2024, doi: <a href="https://doi.org/10.1021/acsphotonics.4c00268">10.1021/acsphotonics.4c00268</a>.'
  mla: Bennenhei, Christoph, et al. “Organic Room-Temperature Polariton Condensate
    in a Higher-Order Topological Lattice.” <i>ACS Photonics</i>, vol. 11, no. 8,
    American Chemical Society (ACS), 2024, pp. 3046–54, doi:<a href="https://doi.org/10.1021/acsphotonics.4c00268">10.1021/acsphotonics.4c00268</a>.
  short: C. Bennenhei, H. Shan, M. Struve, N. Kunte, F. Eilenberger, J. Ohmer, U.
    Fischer, S. Schumacher, X. Ma, C. Schneider, M. Esmann, ACS Photonics 11 (2024)
    3046–3054.
date_created: 2025-09-12T11:06:43Z
date_updated: 2025-09-12T11:08:26Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1021/acsphotonics.4c00268
intvolume: '        11'
issue: '8'
language:
- iso: eng
page: 3046-3054
publication: ACS Photonics
publication_identifier:
  issn:
  - 2330-4022
  - 2330-4022
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: Organic Room-Temperature Polariton Condensate in a Higher-Order Topological
  Lattice
type: journal_article
user_id: '16199'
volume: 11
year: '2024'
...
---
_id: '61255'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Topological states
    have been widely investigated in different types of systems and lattices. In the
    present work, we report on topological edge states in double-wave (DW) chains,
    which can be described by a generalized Aubry-André-Harper (AAH) model. For the
    specific system of a driven-dissipative exciton polariton system we show that
    in such potential chains, different types of edge states can form. For resonant
    optical excitation, we further find that the optical nonlinearity leads to a multistability
    of different edge states. This includes topologically protected edge states evolved
    directly from individual linear eigenstates as well as additional edge states
    that originate from nonlinearity-induced localization of bulk states. Extending
    the system into two dimensions (2D) by stacking horizontal DW chains in the vertical
    direction, we also create 2D multi-wave lattices. In such 2D lattices multiple
    Su–Schrieffer–Heeger (SSH) chains appear along the vertical direction. The combination
    of DW chains in the horizonal and SSH chains in the vertical direction then results
    in the formation of higher-order topological insulator corner states. Multistable
    corner states emerge in the nonlinear regime.</jats:p>"
author:
- first_name: Tobias
  full_name: Schneider, Tobias
  last_name: Schneider
- first_name: Wenlong
  full_name: Gao, Wenlong
  id: '78853'
  last_name: Gao
- first_name: Thomas
  full_name: Zentgraf, Thomas
  id: '30525'
  last_name: Zentgraf
  orcid: 0000-0002-8662-1101
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
citation:
  ama: Schneider T, Gao W, Zentgraf T, Schumacher S, Ma X. Topological edge and corner
    states in coupled wave lattices in nonlinear polariton condensates. <i>Nanophotonics</i>.
    2024;13(4):509-518. doi:<a href="https://doi.org/10.1515/nanoph-2023-0556">10.1515/nanoph-2023-0556</a>
  apa: Schneider, T., Gao, W., Zentgraf, T., Schumacher, S., &#38; Ma, X. (2024).
    Topological edge and corner states in coupled wave lattices in nonlinear polariton
    condensates. <i>Nanophotonics</i>, <i>13</i>(4), 509–518. <a href="https://doi.org/10.1515/nanoph-2023-0556">https://doi.org/10.1515/nanoph-2023-0556</a>
  bibtex: '@article{Schneider_Gao_Zentgraf_Schumacher_Ma_2024, title={Topological
    edge and corner states in coupled wave lattices in nonlinear polariton condensates},
    volume={13}, DOI={<a href="https://doi.org/10.1515/nanoph-2023-0556">10.1515/nanoph-2023-0556</a>},
    number={4}, journal={Nanophotonics}, publisher={Walter de Gruyter GmbH}, author={Schneider,
    Tobias and Gao, Wenlong and Zentgraf, Thomas and Schumacher, Stefan and Ma, Xuekai},
    year={2024}, pages={509–518} }'
  chicago: 'Schneider, Tobias, Wenlong Gao, Thomas Zentgraf, Stefan Schumacher, and
    Xuekai Ma. “Topological Edge and Corner States in Coupled Wave Lattices in Nonlinear
    Polariton Condensates.” <i>Nanophotonics</i> 13, no. 4 (2024): 509–18. <a href="https://doi.org/10.1515/nanoph-2023-0556">https://doi.org/10.1515/nanoph-2023-0556</a>.'
  ieee: 'T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, and X. Ma, “Topological
    edge and corner states in coupled wave lattices in nonlinear polariton condensates,”
    <i>Nanophotonics</i>, vol. 13, no. 4, pp. 509–518, 2024, doi: <a href="https://doi.org/10.1515/nanoph-2023-0556">10.1515/nanoph-2023-0556</a>.'
  mla: Schneider, Tobias, et al. “Topological Edge and Corner States in Coupled Wave
    Lattices in Nonlinear Polariton Condensates.” <i>Nanophotonics</i>, vol. 13, no.
    4, Walter de Gruyter GmbH, 2024, pp. 509–18, doi:<a href="https://doi.org/10.1515/nanoph-2023-0556">10.1515/nanoph-2023-0556</a>.
  short: T. Schneider, W. Gao, T. Zentgraf, S. Schumacher, X. Ma, Nanophotonics 13
    (2024) 509–518.
date_created: 2025-09-12T11:19:22Z
date_updated: 2025-09-12T11:22:41Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '27'
doi: 10.1515/nanoph-2023-0556
intvolume: '        13'
issue: '4'
language:
- iso: eng
page: 509-518
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '54'
  name: TRR 142 - Project Area A
- _id: '55'
  name: TRR 142 - Project Area B
- _id: '61'
  name: 'TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit
    Polaritonen in Mikrokavitäten'
- _id: '170'
  name: 'TRR 142; TP B09: Effiziente Erzeugung mit maßgeschneiderter optischer Phaselage
    der zweiten Harmonischen mittels Quasi-gebundener Zustände in GaAs Metaoberflächen'
publication: Nanophotonics
publication_identifier:
  issn:
  - 2192-8614
publication_status: published
publisher: Walter de Gruyter GmbH
status: public
title: Topological edge and corner states in coupled wave lattices in nonlinear polariton
  condensates
type: journal_article
user_id: '16199'
volume: 13
year: '2024'
...
---
_id: '61257'
abstract:
- lang: eng
  text: "<jats:p>Exceptional points (EPs), with their intriguing spectral topology,
    have attracted considerable attention in a broad range of physical systems, with
    potential sensing applications driving much of the present research in this field.
    Here, we investigate spectral topology and EPs in systems with significant nonlinearity,
    exemplified by a nonequilibrium exciton-polariton condensate. With the possibility
    to control loss and gain and nonlinearity by optical means, this system allows
    for a comprehensive analysis of the interplay of nonlinearities (Kerr type and
    saturable gain) and non-Hermiticity. Not only do we find that EPs can be intentionally
    shifted in parameter space by the saturable gain, but we also observe intriguing
    rotations and intersections of Riemann surfaces and find nonlinearity-enhanced
    sensing capabilities. With this, our results illustrate the potential of tailoring
    spectral topology and related phenomena in non-Hermitian systems by nonlinearity.</jats:p>\r\n
    \         <jats:sec>\r\n            <jats:title/>\r\n            <jats:supplementary-material>\r\n
    \             <jats:permissions>\r\n                <jats:copyright-statement>Published
    by the American Physical Society</jats:copyright-statement>\r\n                <jats:copyright-year>2024</jats:copyright-year>\r\n
    \             </jats:permissions>\r\n            </jats:supplementary-material>\r\n
    \         </jats:sec>"
article_number: '013148'
author:
- first_name: Jan
  full_name: Wingenbach, Jan
  id: '69187'
  last_name: Wingenbach
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
citation:
  ama: Wingenbach J, Schumacher S, Ma X. Manipulating spectral topology and exceptional
    points by nonlinearity in non-Hermitian polariton systems. <i>Physical Review
    Research</i>. 2024;6(1). doi:<a href="https://doi.org/10.1103/physrevresearch.6.013148">10.1103/physrevresearch.6.013148</a>
  apa: Wingenbach, J., Schumacher, S., &#38; Ma, X. (2024). Manipulating spectral
    topology and exceptional points by nonlinearity in non-Hermitian polariton systems.
    <i>Physical Review Research</i>, <i>6</i>(1), Article 013148. <a href="https://doi.org/10.1103/physrevresearch.6.013148">https://doi.org/10.1103/physrevresearch.6.013148</a>
  bibtex: '@article{Wingenbach_Schumacher_Ma_2024, title={Manipulating spectral topology
    and exceptional points by nonlinearity in non-Hermitian polariton systems}, volume={6},
    DOI={<a href="https://doi.org/10.1103/physrevresearch.6.013148">10.1103/physrevresearch.6.013148</a>},
    number={1013148}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Wingenbach, Jan and Schumacher, Stefan and Ma, Xuekai},
    year={2024} }'
  chicago: Wingenbach, Jan, Stefan Schumacher, and Xuekai Ma. “Manipulating Spectral
    Topology and Exceptional Points by Nonlinearity in Non-Hermitian Polariton Systems.”
    <i>Physical Review Research</i> 6, no. 1 (2024). <a href="https://doi.org/10.1103/physrevresearch.6.013148">https://doi.org/10.1103/physrevresearch.6.013148</a>.
  ieee: 'J. Wingenbach, S. Schumacher, and X. Ma, “Manipulating spectral topology
    and exceptional points by nonlinearity in non-Hermitian polariton systems,” <i>Physical
    Review Research</i>, vol. 6, no. 1, Art. no. 013148, 2024, doi: <a href="https://doi.org/10.1103/physrevresearch.6.013148">10.1103/physrevresearch.6.013148</a>.'
  mla: Wingenbach, Jan, et al. “Manipulating Spectral Topology and Exceptional Points
    by Nonlinearity in Non-Hermitian Polariton Systems.” <i>Physical Review Research</i>,
    vol. 6, no. 1, 013148, American Physical Society (APS), 2024, doi:<a href="https://doi.org/10.1103/physrevresearch.6.013148">10.1103/physrevresearch.6.013148</a>.
  short: J. Wingenbach, S. Schumacher, X. Ma, Physical Review Research 6 (2024).
date_created: 2025-09-12T11:23:33Z
date_updated: 2025-09-12T11:24:59Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
- _id: '27'
- _id: '429'
doi: 10.1103/physrevresearch.6.013148
intvolume: '         6'
issue: '1'
language:
- iso: eng
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '54'
  name: TRR 142 - Project Area A
- _id: '61'
  name: 'TRR 142; TP A04: Nichtlineare Quantenprozesstomographie und Photonik mit
    Polaritonen in Mikrokavitäten'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Manipulating spectral topology and exceptional points by nonlinearity in non-Hermitian
  polariton systems
type: journal_article
user_id: '16199'
volume: 6
year: '2024'
...
---
_id: '61261'
author:
- first_name: Qian
  full_name: Liang, Qian
  last_name: Liang
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Chunling
  full_name: Gu, Chunling
  last_name: Gu
- first_name: Jiahuan
  full_name: Ren, Jiahuan
  last_name: Ren
- first_name: Cunbin
  full_name: An, Cunbin
  last_name: An
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
citation:
  ama: Liang Q, Ma X, Gu C, et al. Photochemical Reaction Enabling the Engineering
    of Photonic Spin–Orbit Coupling in Organic-Crystal Optical Microcavities. <i>Journal
    of the American Chemical Society</i>. 2024;146(7):4542-4548. doi:<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>
  apa: Liang, Q., Ma, X., Gu, C., Ren, J., An, C., Fu, H., Schumacher, S., &#38; Liao,
    Q. (2024). Photochemical Reaction Enabling the Engineering of Photonic Spin–Orbit
    Coupling in Organic-Crystal Optical Microcavities. <i>Journal of the American
    Chemical Society</i>, <i>146</i>(7), 4542–4548. <a href="https://doi.org/10.1021/jacs.3c11373">https://doi.org/10.1021/jacs.3c11373</a>
  bibtex: '@article{Liang_Ma_Gu_Ren_An_Fu_Schumacher_Liao_2024, title={Photochemical
    Reaction Enabling the Engineering of Photonic Spin–Orbit Coupling in Organic-Crystal
    Optical Microcavities}, volume={146}, DOI={<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>},
    number={7}, journal={Journal of the American Chemical Society}, publisher={American
    Chemical Society (ACS)}, author={Liang, Qian and Ma, Xuekai and Gu, Chunling and
    Ren, Jiahuan and An, Cunbin and Fu, Hongbing and Schumacher, Stefan and Liao,
    Qing}, year={2024}, pages={4542–4548} }'
  chicago: 'Liang, Qian, Xuekai Ma, Chunling Gu, Jiahuan Ren, Cunbin An, Hongbing
    Fu, Stefan Schumacher, and Qing Liao. “Photochemical Reaction Enabling the Engineering
    of Photonic Spin–Orbit Coupling in Organic-Crystal Optical Microcavities.” <i>Journal
    of the American Chemical Society</i> 146, no. 7 (2024): 4542–48. <a href="https://doi.org/10.1021/jacs.3c11373">https://doi.org/10.1021/jacs.3c11373</a>.'
  ieee: 'Q. Liang <i>et al.</i>, “Photochemical Reaction Enabling the Engineering
    of Photonic Spin–Orbit Coupling in Organic-Crystal Optical Microcavities,” <i>Journal
    of the American Chemical Society</i>, vol. 146, no. 7, pp. 4542–4548, 2024, doi:
    <a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>.'
  mla: Liang, Qian, et al. “Photochemical Reaction Enabling the Engineering of Photonic
    Spin–Orbit Coupling in Organic-Crystal Optical Microcavities.” <i>Journal of the
    American Chemical Society</i>, vol. 146, no. 7, American Chemical Society (ACS),
    2024, pp. 4542–48, doi:<a href="https://doi.org/10.1021/jacs.3c11373">10.1021/jacs.3c11373</a>.
  short: Q. Liang, X. Ma, C. Gu, J. Ren, C. An, H. Fu, S. Schumacher, Q. Liao, Journal
    of the American Chemical Society 146 (2024) 4542–4548.
date_created: 2025-09-12T11:28:17Z
date_updated: 2025-09-12T11:29:07Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1021/jacs.3c11373
intvolume: '       146'
issue: '7'
language:
- iso: eng
page: 4542-4548
publication: Journal of the American Chemical Society
publication_identifier:
  issn:
  - 0002-7863
  - 1520-5126
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: Photochemical Reaction Enabling the Engineering of Photonic Spin–Orbit Coupling
  in Organic-Crystal Optical Microcavities
type: journal_article
user_id: '16199'
volume: 146
year: '2024'
...
---
_id: '48774'
author:
- first_name: Ying
  full_name: Gao, Ying
  last_name: Gao
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Xiaokun
  full_name: Zhai, Xiaokun
  last_name: Zhai
- first_name: Chunzi
  full_name: Xing, Chunzi
  last_name: Xing
- first_name: Meini
  full_name: Gao, Meini
  last_name: Gao
- first_name: Haitao
  full_name: Dai, Haitao
  last_name: Dai
- first_name: Hao
  full_name: Wu, Hao
  last_name: Wu
- first_name: Tong
  full_name: Liu, Tong
  last_name: Liu
- first_name: Yuan
  full_name: Ren, Yuan
  last_name: Ren
- first_name: Xiao
  full_name: Wang, Xiao
  last_name: Wang
- first_name: Anlian
  full_name: Pan, Anlian
  last_name: Pan
- first_name: Wei
  full_name: Hu, Wei
  last_name: Hu
- first_name: Stefan
  full_name: Schumacher, Stefan
  last_name: Schumacher
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Gao Y, Ma X, Zhai X, et al. Single-shot spatial instability and electric control
    of polariton condensates at room temperature. <i>Physical Review B</i>. 2023;108(20):205303.
    doi:<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>
  apa: Gao, Y., Ma, X., Zhai, X., Xing, C., Gao, M., Dai, H., Wu, H., Liu, T., Ren,
    Y., Wang, X., Pan, A., Hu, W., Schumacher, S., &#38; Gao, T. (2023). Single-shot
    spatial instability and electric control of polariton condensates at room temperature.
    <i>Physical Review B</i>, <i>108</i>(20), 205303. <a href="https://doi.org/10.1103/physrevb.108.205303">https://doi.org/10.1103/physrevb.108.205303</a>
  bibtex: '@article{Gao_Ma_Zhai_Xing_Gao_Dai_Wu_Liu_Ren_Wang_et al._2023, title={Single-shot
    spatial instability and electric control of polariton condensates at room temperature},
    volume={108}, DOI={<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>},
    number={20}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Gao, Ying and Ma, Xuekai and Zhai, Xiaokun and Xing, Chunzi and
    Gao, Meini and Dai, Haitao and Wu, Hao and Liu, Tong and Ren, Yuan and Wang, Xiao
    and et al.}, year={2023}, pages={205303} }'
  chicago: 'Gao, Ying, Xuekai Ma, Xiaokun Zhai, Chunzi Xing, Meini Gao, Haitao Dai,
    Hao Wu, et al. “Single-Shot Spatial Instability and Electric Control of Polariton
    Condensates at Room Temperature.” <i>Physical Review B</i> 108, no. 20 (2023):
    205303. <a href="https://doi.org/10.1103/physrevb.108.205303">https://doi.org/10.1103/physrevb.108.205303</a>.'
  ieee: 'Y. Gao <i>et al.</i>, “Single-shot spatial instability and electric control
    of polariton condensates at room temperature,” <i>Physical Review B</i>, vol.
    108, no. 20, p. 205303, 2023, doi: <a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>.'
  mla: Gao, Ying, et al. “Single-Shot Spatial Instability and Electric Control of
    Polariton Condensates at Room Temperature.” <i>Physical Review B</i>, vol. 108,
    no. 20, American Physical Society (APS), 2023, p. 205303, doi:<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>.
  short: Y. Gao, X. Ma, X. Zhai, C. Xing, M. Gao, H. Dai, H. Wu, T. Liu, Y. Ren, X.
    Wang, A. Pan, W. Hu, S. Schumacher, T. Gao, Physical Review B 108 (2023) 205303.
date_created: 2023-11-10T11:17:57Z
date_updated: 2023-11-10T11:23:12Z
department:
- _id: '15'
doi: 10.1103/physrevb.108.205303
intvolume: '       108'
issue: '20'
language:
- iso: eng
page: '205303'
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Single-shot spatial instability and electric control of polariton condensates
  at room temperature
type: journal_article
user_id: '59416'
volume: 108
year: '2023'
...
---
_id: '35160'
article_number: '31'
author:
- first_name: Jichao
  full_name: Jia, Jichao
  last_name: Jia
- first_name: Xue
  full_name: Cao, Xue
  last_name: Cao
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Jianbo
  full_name: De, Jianbo
  last_name: De
- first_name: Jiannian
  full_name: Yao, Jiannian
  last_name: Yao
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
citation:
  ama: Jia J, Cao X, Ma X, et al. Circularly polarized electroluminescence from a
    single-crystal organic microcavity light-emitting diode based on photonic spin-orbit
    interactions. <i>Nature Communications</i>. 2023;14(1). doi:<a href="https://doi.org/10.1038/s41467-022-35745-w">10.1038/s41467-022-35745-w</a>
  apa: Jia, J., Cao, X., Ma, X., De, J., Yao, J., Schumacher, S., Liao, Q., &#38;
    Fu, H. (2023). Circularly polarized electroluminescence from a single-crystal
    organic microcavity light-emitting diode based on photonic spin-orbit interactions.
    <i>Nature Communications</i>, <i>14</i>(1), Article 31. <a href="https://doi.org/10.1038/s41467-022-35745-w">https://doi.org/10.1038/s41467-022-35745-w</a>
  bibtex: '@article{Jia_Cao_Ma_De_Yao_Schumacher_Liao_Fu_2023, title={Circularly polarized
    electroluminescence from a single-crystal organic microcavity light-emitting diode
    based on photonic spin-orbit interactions}, volume={14}, DOI={<a href="https://doi.org/10.1038/s41467-022-35745-w">10.1038/s41467-022-35745-w</a>},
    number={131}, journal={Nature Communications}, publisher={Springer Science and
    Business Media LLC}, author={Jia, Jichao and Cao, Xue and Ma, Xuekai and De, Jianbo
    and Yao, Jiannian and Schumacher, Stefan and Liao, Qing and Fu, Hongbing}, year={2023}
    }'
  chicago: Jia, Jichao, Xue Cao, Xuekai Ma, Jianbo De, Jiannian Yao, Stefan Schumacher,
    Qing Liao, and Hongbing Fu. “Circularly Polarized Electroluminescence from a Single-Crystal
    Organic Microcavity Light-Emitting Diode Based on Photonic Spin-Orbit Interactions.”
    <i>Nature Communications</i> 14, no. 1 (2023). <a href="https://doi.org/10.1038/s41467-022-35745-w">https://doi.org/10.1038/s41467-022-35745-w</a>.
  ieee: 'J. Jia <i>et al.</i>, “Circularly polarized electroluminescence from a single-crystal
    organic microcavity light-emitting diode based on photonic spin-orbit interactions,”
    <i>Nature Communications</i>, vol. 14, no. 1, Art. no. 31, 2023, doi: <a href="https://doi.org/10.1038/s41467-022-35745-w">10.1038/s41467-022-35745-w</a>.'
  mla: Jia, Jichao, et al. “Circularly Polarized Electroluminescence from a Single-Crystal
    Organic Microcavity Light-Emitting Diode Based on Photonic Spin-Orbit Interactions.”
    <i>Nature Communications</i>, vol. 14, no. 1, 31, Springer Science and Business
    Media LLC, 2023, doi:<a href="https://doi.org/10.1038/s41467-022-35745-w">10.1038/s41467-022-35745-w</a>.
  short: J. Jia, X. Cao, X. Ma, J. De, J. Yao, S. Schumacher, Q. Liao, H. Fu, Nature
    Communications 14 (2023).
date_created: 2023-01-04T08:21:52Z
date_updated: 2023-04-20T15:17:21Z
department:
- _id: '15'
- _id: '170'
- _id: '705'
- _id: '297'
- _id: '230'
- _id: '35'
doi: 10.1038/s41467-022-35745-w
intvolume: '        14'
issue: '1'
keyword:
- General Physics and Astronomy
- General Biochemistry
- Genetics and Molecular Biology
- General Chemistry
- Multidisciplinary
language:
- iso: eng
publication: Nature Communications
publication_identifier:
  issn:
  - 2041-1723
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Circularly polarized electroluminescence from a single-crystal organic microcavity
  light-emitting diode based on photonic spin-orbit interactions
type: journal_article
user_id: '16199'
volume: 14
year: '2023'
...
---
_id: '61269'
article_number: '205303'
author:
- first_name: Ying
  full_name: Gao, Ying
  last_name: Gao
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Xiaokun
  full_name: Zhai, Xiaokun
  last_name: Zhai
- first_name: Chunzi
  full_name: Xing, Chunzi
  last_name: Xing
- first_name: Meini
  full_name: Gao, Meini
  last_name: Gao
- first_name: Haitao
  full_name: Dai, Haitao
  last_name: Dai
- first_name: Hao
  full_name: Wu, Hao
  last_name: Wu
- first_name: Tong
  full_name: Liu, Tong
  last_name: Liu
- first_name: Yuan
  full_name: Ren, Yuan
  last_name: Ren
- first_name: Xiao
  full_name: Wang, Xiao
  last_name: Wang
- first_name: Anlian
  full_name: Pan, Anlian
  last_name: Pan
- first_name: Wei
  full_name: Hu, Wei
  last_name: Hu
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Gao Y, Ma X, Zhai X, et al. Single-shot spatial instability and electric control
    of polariton condensates at room temperature. <i>Physical Review B</i>. 2023;108(20).
    doi:<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>
  apa: Gao, Y., Ma, X., Zhai, X., Xing, C., Gao, M., Dai, H., Wu, H., Liu, T., Ren,
    Y., Wang, X., Pan, A., Hu, W., Schumacher, S., &#38; Gao, T. (2023). Single-shot
    spatial instability and electric control of polariton condensates at room temperature.
    <i>Physical Review B</i>, <i>108</i>(20), Article 205303. <a href="https://doi.org/10.1103/physrevb.108.205303">https://doi.org/10.1103/physrevb.108.205303</a>
  bibtex: '@article{Gao_Ma_Zhai_Xing_Gao_Dai_Wu_Liu_Ren_Wang_et al._2023, title={Single-shot
    spatial instability and electric control of polariton condensates at room temperature},
    volume={108}, DOI={<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>},
    number={20205303}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Gao, Ying and Ma, Xuekai and Zhai, Xiaokun and Xing, Chunzi and
    Gao, Meini and Dai, Haitao and Wu, Hao and Liu, Tong and Ren, Yuan and Wang, Xiao
    and et al.}, year={2023} }'
  chicago: Gao, Ying, Xuekai Ma, Xiaokun Zhai, Chunzi Xing, Meini Gao, Haitao Dai,
    Hao Wu, et al. “Single-Shot Spatial Instability and Electric Control of Polariton
    Condensates at Room Temperature.” <i>Physical Review B</i> 108, no. 20 (2023).
    <a href="https://doi.org/10.1103/physrevb.108.205303">https://doi.org/10.1103/physrevb.108.205303</a>.
  ieee: 'Y. Gao <i>et al.</i>, “Single-shot spatial instability and electric control
    of polariton condensates at room temperature,” <i>Physical Review B</i>, vol.
    108, no. 20, Art. no. 205303, 2023, doi: <a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>.'
  mla: Gao, Ying, et al. “Single-Shot Spatial Instability and Electric Control of
    Polariton Condensates at Room Temperature.” <i>Physical Review B</i>, vol. 108,
    no. 20, 205303, American Physical Society (APS), 2023, doi:<a href="https://doi.org/10.1103/physrevb.108.205303">10.1103/physrevb.108.205303</a>.
  short: Y. Gao, X. Ma, X. Zhai, C. Xing, M. Gao, H. Dai, H. Wu, T. Liu, Y. Ren, X.
    Wang, A. Pan, W. Hu, S. Schumacher, T. Gao, Physical Review B 108 (2023).
date_created: 2025-09-12T11:45:20Z
date_updated: 2025-09-12T11:46:10Z
department:
- _id: '15'
- _id: '170'
- _id: '297'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1103/physrevb.108.205303
intvolume: '       108'
issue: '20'
language:
- iso: eng
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Single-shot spatial instability and electric control of polariton condensates
  at room temperature
type: journal_article
user_id: '16199'
volume: 108
year: '2023'
...
---
_id: '40274'
author:
- first_name: Xiaokun
  full_name: Zhai, Xiaokun
  last_name: Zhai
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Ying
  full_name: Gao, Ying
  last_name: Gao
- first_name: Chunzi
  full_name: Xing, Chunzi
  last_name: Xing
- first_name: Meini
  full_name: Gao, Meini
  last_name: Gao
- first_name: Haitao
  full_name: Dai, Haitao
  last_name: Dai
- first_name: Xiao
  full_name: Wang, Xiao
  last_name: Wang
- first_name: Anlian
  full_name: Pan, Anlian
  last_name: Pan
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Zhai X, Ma X, Gao Y, et al. Electrically controlling vortices in a neutral
    exciton polariton condensate at room temperature. <i>Physical Review Letters</i>.
    2023;131(13):136901. doi:<a href="https://doi.org/10.1103/PhysRevLett.131.136901">10.1103/PhysRevLett.131.136901</a>
  apa: Zhai, X., Ma, X., Gao, Y., Xing, C., Gao, M., Dai, H., Wang, X., Pan, A., Schumacher,
    S., &#38; Gao, T. (2023). Electrically controlling vortices in a neutral exciton
    polariton condensate at room temperature. <i>Physical Review Letters</i>, <i>131</i>(13),
    136901. <a href="https://doi.org/10.1103/PhysRevLett.131.136901">https://doi.org/10.1103/PhysRevLett.131.136901</a>
  bibtex: '@article{Zhai_Ma_Gao_Xing_Gao_Dai_Wang_Pan_Schumacher_Gao_2023, title={Electrically
    controlling vortices in a neutral exciton polariton condensate at room temperature},
    volume={131}, DOI={<a href="https://doi.org/10.1103/PhysRevLett.131.136901">10.1103/PhysRevLett.131.136901</a>},
    number={13}, journal={Physical Review Letters}, author={Zhai, Xiaokun and Ma,
    Xuekai and Gao, Ying and Xing, Chunzi and Gao, Meini and Dai, Haitao and Wang,
    Xiao and Pan, Anlian and Schumacher, Stefan and Gao, Tingge}, year={2023}, pages={136901}
    }'
  chicago: 'Zhai, Xiaokun, Xuekai Ma, Ying Gao, Chunzi Xing, Meini Gao, Haitao Dai,
    Xiao Wang, Anlian Pan, Stefan Schumacher, and Tingge Gao. “Electrically Controlling
    Vortices in a Neutral Exciton Polariton Condensate at Room Temperature.” <i>Physical
    Review Letters</i> 131, no. 13 (2023): 136901. <a href="https://doi.org/10.1103/PhysRevLett.131.136901">https://doi.org/10.1103/PhysRevLett.131.136901</a>.'
  ieee: 'X. Zhai <i>et al.</i>, “Electrically controlling vortices in a neutral exciton
    polariton condensate at room temperature,” <i>Physical Review Letters</i>, vol.
    131, no. 13, p. 136901, 2023, doi: <a href="https://doi.org/10.1103/PhysRevLett.131.136901">10.1103/PhysRevLett.131.136901</a>.'
  mla: Zhai, Xiaokun, et al. “Electrically Controlling Vortices in a Neutral Exciton
    Polariton Condensate at Room Temperature.” <i>Physical Review Letters</i>, vol.
    131, no. 13, 2023, p. 136901, doi:<a href="https://doi.org/10.1103/PhysRevLett.131.136901">10.1103/PhysRevLett.131.136901</a>.
  short: X. Zhai, X. Ma, Y. Gao, C. Xing, M. Gao, H. Dai, X. Wang, A. Pan, S. Schumacher,
    T. Gao, Physical Review Letters 131 (2023) 136901.
date_created: 2023-01-26T10:24:23Z
date_updated: 2025-12-05T13:43:59Z
department:
- _id: '15'
- _id: '705'
- _id: '170'
- _id: '297'
- _id: '35'
- _id: '230'
doi: 10.1103/PhysRevLett.131.136901
intvolume: '       131'
issue: '13'
language:
- iso: eng
page: '136901'
publication: Physical Review Letters
status: public
title: Electrically controlling vortices in a neutral exciton polariton condensate
  at room temperature
type: journal_article
user_id: '16199'
volume: 131
year: '2023'
...
---
_id: '36416'
author:
- first_name: Jianbo
  full_name: De, Jianbo
  last_name: De
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Fan
  full_name: Yin, Fan
  last_name: Yin
- first_name: Jiahuan
  full_name: Ren, Jiahuan
  last_name: Ren
- first_name: Jiannian
  full_name: Yao, Jiannian
  last_name: Yao
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
- first_name: Guillaume
  full_name: Malpuech, Guillaume
  last_name: Malpuech
- first_name: Dmitry
  full_name: Solnyshkov, Dmitry
  last_name: Solnyshkov
citation:
  ama: De J, Ma X, Yin F, et al. Room-Temperature Electrical Field-Enhanced Ultrafast
    Switch in Organic Microcavity Polariton Condensates. <i>Journal of the American
    Chemical Society (JACS)</i>. 2023;145(3):1557-1563. doi:<a href="https://doi.org/10.1021/jacs.2c07557">10.1021/jacs.2c07557</a>
  apa: De, J., Ma, X., Yin, F., Ren, J., Yao, J., Schumacher, S., Liao, Q., Fu, H.,
    Malpuech, G., &#38; Solnyshkov, D. (2023). Room-Temperature Electrical Field-Enhanced
    Ultrafast Switch in Organic Microcavity Polariton Condensates. <i>Journal of the
    American Chemical Society (JACS)</i>, <i>145</i>(3), 1557–1563. <a href="https://doi.org/10.1021/jacs.2c07557">https://doi.org/10.1021/jacs.2c07557</a>
  bibtex: '@article{De_Ma_Yin_Ren_Yao_Schumacher_Liao_Fu_Malpuech_Solnyshkov_2023,
    title={Room-Temperature Electrical Field-Enhanced Ultrafast Switch in Organic
    Microcavity Polariton Condensates}, volume={145}, DOI={<a href="https://doi.org/10.1021/jacs.2c07557">10.1021/jacs.2c07557</a>},
    number={3}, journal={Journal of the American Chemical Society (JACS)}, publisher={American
    Chemical Society (ACS)}, author={De, Jianbo and Ma, Xuekai and Yin, Fan and Ren,
    Jiahuan and Yao, Jiannian and Schumacher, Stefan and Liao, Qing and Fu, Hongbing
    and Malpuech, Guillaume and Solnyshkov, Dmitry}, year={2023}, pages={1557–1563}
    }'
  chicago: 'De, Jianbo, Xuekai Ma, Fan Yin, Jiahuan Ren, Jiannian Yao, Stefan Schumacher,
    Qing Liao, Hongbing Fu, Guillaume Malpuech, and Dmitry Solnyshkov. “Room-Temperature
    Electrical Field-Enhanced Ultrafast Switch in Organic Microcavity Polariton Condensates.”
    <i>Journal of the American Chemical Society (JACS)</i> 145, no. 3 (2023): 1557–63.
    <a href="https://doi.org/10.1021/jacs.2c07557">https://doi.org/10.1021/jacs.2c07557</a>.'
  ieee: 'J. De <i>et al.</i>, “Room-Temperature Electrical Field-Enhanced Ultrafast
    Switch in Organic Microcavity Polariton Condensates,” <i>Journal of the American
    Chemical Society (JACS)</i>, vol. 145, no. 3, pp. 1557–1563, 2023, doi: <a href="https://doi.org/10.1021/jacs.2c07557">10.1021/jacs.2c07557</a>.'
  mla: De, Jianbo, et al. “Room-Temperature Electrical Field-Enhanced Ultrafast Switch
    in Organic Microcavity Polariton Condensates.” <i>Journal of the American Chemical
    Society (JACS)</i>, vol. 145, no. 3, American Chemical Society (ACS), 2023, pp.
    1557–63, doi:<a href="https://doi.org/10.1021/jacs.2c07557">10.1021/jacs.2c07557</a>.
  short: J. De, X. Ma, F. Yin, J. Ren, J. Yao, S. Schumacher, Q. Liao, H. Fu, G. Malpuech,
    D. Solnyshkov, Journal of the American Chemical Society (JACS) 145 (2023) 1557–1563.
date_created: 2023-01-12T12:07:52Z
date_updated: 2025-12-05T13:50:32Z
department:
- _id: '15'
- _id: '170'
- _id: '705'
- _id: '297'
- _id: '230'
- _id: '429'
- _id: '35'
doi: 10.1021/jacs.2c07557
intvolume: '       145'
issue: '3'
keyword:
- Colloid and Surface Chemistry
- Biochemistry
- General Chemistry
- Catalysis
language:
- iso: eng
page: 1557-1563
project:
- _id: '53'
  name: 'TRR 142: TRR 142'
- _id: '54'
  name: 'TRR 142 - A: TRR 142 - Project Area A'
- _id: '61'
  name: 'TRR 142 - A4: TRR 142 - Subproject A4'
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
publication: Journal of the American Chemical Society (JACS)
publication_identifier:
  issn:
  - 0002-7863
  - 1520-5126
publication_status: published
publisher: American Chemical Society (ACS)
status: public
title: Room-Temperature Electrical Field-Enhanced Ultrafast Switch in Organic Microcavity
  Polariton Condensates
type: journal_article
user_id: '16199'
volume: 145
year: '2023'
...
---
_id: '35077'
article_number: e202213229
author:
- first_name: Qian
  full_name: Liang, Qian
  last_name: Liang
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Teng
  full_name: Long, Teng
  last_name: Long
- first_name: Jiannian
  full_name: Yao, Jiannian
  last_name: Yao
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
citation:
  ama: Liang Q, Ma X, Long T, Yao J, Liao Q, Fu H. Circularly Polarized Lasing from
    a Microcavity Filled with Achiral Single‐Crystalline Microribbons. <i>Angewandte
    Chemie International Edition</i>. 2023;62(9). doi:<a href="https://doi.org/10.1002/anie.202213229">10.1002/anie.202213229</a>
  apa: Liang, Q., Ma, X., Long, T., Yao, J., Liao, Q., &#38; Fu, H. (2023). Circularly
    Polarized Lasing from a Microcavity Filled with Achiral Single‐Crystalline Microribbons.
    <i>Angewandte Chemie International Edition</i>, <i>62</i>(9), Article e202213229.
    <a href="https://doi.org/10.1002/anie.202213229">https://doi.org/10.1002/anie.202213229</a>
  bibtex: '@article{Liang_Ma_Long_Yao_Liao_Fu_2023, title={Circularly Polarized Lasing
    from a Microcavity Filled with Achiral Single‐Crystalline Microribbons}, volume={62},
    DOI={<a href="https://doi.org/10.1002/anie.202213229">10.1002/anie.202213229</a>},
    number={9e202213229}, journal={Angewandte Chemie International Edition}, publisher={Wiley},
    author={Liang, Qian and Ma, Xuekai and Long, Teng and Yao, Jiannian and Liao,
    Qing and Fu, Hongbing}, year={2023} }'
  chicago: Liang, Qian, Xuekai Ma, Teng Long, Jiannian Yao, Qing Liao, and Hongbing
    Fu. “Circularly Polarized Lasing from a Microcavity Filled with Achiral Single‐Crystalline
    Microribbons.” <i>Angewandte Chemie International Edition</i> 62, no. 9 (2023).
    <a href="https://doi.org/10.1002/anie.202213229">https://doi.org/10.1002/anie.202213229</a>.
  ieee: 'Q. Liang, X. Ma, T. Long, J. Yao, Q. Liao, and H. Fu, “Circularly Polarized
    Lasing from a Microcavity Filled with Achiral Single‐Crystalline Microribbons,”
    <i>Angewandte Chemie International Edition</i>, vol. 62, no. 9, Art. no. e202213229,
    2023, doi: <a href="https://doi.org/10.1002/anie.202213229">10.1002/anie.202213229</a>.'
  mla: Liang, Qian, et al. “Circularly Polarized Lasing from a Microcavity Filled
    with Achiral Single‐Crystalline Microribbons.” <i>Angewandte Chemie International
    Edition</i>, vol. 62, no. 9, e202213229, Wiley, 2023, doi:<a href="https://doi.org/10.1002/anie.202213229">10.1002/anie.202213229</a>.
  short: Q. Liang, X. Ma, T. Long, J. Yao, Q. Liao, H. Fu, Angewandte Chemie International
    Edition 62 (2023).
date_created: 2023-01-02T08:54:29Z
date_updated: 2025-12-05T13:51:12Z
department:
- _id: '15'
- _id: '170'
- _id: '705'
- _id: '35'
- _id: '230'
doi: 10.1002/anie.202213229
intvolume: '        62'
issue: '9'
keyword:
- General Chemistry
- Catalysis
language:
- iso: eng
publication: Angewandte Chemie International Edition
publication_identifier:
  issn:
  - 1433-7851
  - 1521-3773
publication_status: published
publisher: Wiley
status: public
title: Circularly Polarized Lasing from a Microcavity Filled with Achiral Single‐Crystalline
  Microribbons
type: journal_article
user_id: '16199'
volume: 62
year: '2023'
...
---
_id: '30966'
article_number: '2100252'
author:
- first_name: Jiahuan
  full_name: Ren, Jiahuan
  last_name: Ren
- first_name: Qing
  full_name: Liao, Qing
  last_name: Liao
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Stefan
  full_name: Schumacher, Stefan
  last_name: Schumacher
- first_name: Jiannian
  full_name: Yao, Jiannian
  last_name: Yao
- first_name: Hongbing
  full_name: Fu, Hongbing
  last_name: Fu
citation:
  ama: Ren J, Liao Q, Ma X, Schumacher S, Yao J, Fu H. Realization of Exciton‐Mediated
    Optical Spin‐Orbit Interaction in Organic Microcrystalline Resonators. <i>Laser
    &#38; Photonics Reviews</i>. 2022;16(1). doi:<a href="https://doi.org/10.1002/lpor.202100252">10.1002/lpor.202100252</a>
  apa: Ren, J., Liao, Q., Ma, X., Schumacher, S., Yao, J., &#38; Fu, H. (2022). Realization
    of Exciton‐Mediated Optical Spin‐Orbit Interaction in Organic Microcrystalline
    Resonators. <i>Laser &#38; Photonics Reviews</i>, <i>16</i>(1), Article 2100252.
    <a href="https://doi.org/10.1002/lpor.202100252">https://doi.org/10.1002/lpor.202100252</a>
  bibtex: '@article{Ren_Liao_Ma_Schumacher_Yao_Fu_2022, title={Realization of Exciton‐Mediated
    Optical Spin‐Orbit Interaction in Organic Microcrystalline Resonators}, volume={16},
    DOI={<a href="https://doi.org/10.1002/lpor.202100252">10.1002/lpor.202100252</a>},
    number={12100252}, journal={Laser &#38; Photonics Reviews}, publisher={Wiley},
    author={Ren, Jiahuan and Liao, Qing and Ma, Xuekai and Schumacher, Stefan and
    Yao, Jiannian and Fu, Hongbing}, year={2022} }'
  chicago: Ren, Jiahuan, Qing Liao, Xuekai Ma, Stefan Schumacher, Jiannian Yao, and
    Hongbing Fu. “Realization of Exciton‐Mediated Optical Spin‐Orbit Interaction in
    Organic Microcrystalline Resonators.” <i>Laser &#38; Photonics Reviews</i> 16,
    no. 1 (2022). <a href="https://doi.org/10.1002/lpor.202100252">https://doi.org/10.1002/lpor.202100252</a>.
  ieee: 'J. Ren, Q. Liao, X. Ma, S. Schumacher, J. Yao, and H. Fu, “Realization of
    Exciton‐Mediated Optical Spin‐Orbit Interaction in Organic Microcrystalline Resonators,”
    <i>Laser &#38; Photonics Reviews</i>, vol. 16, no. 1, Art. no. 2100252, 2022,
    doi: <a href="https://doi.org/10.1002/lpor.202100252">10.1002/lpor.202100252</a>.'
  mla: Ren, Jiahuan, et al. “Realization of Exciton‐Mediated Optical Spin‐Orbit Interaction
    in Organic Microcrystalline Resonators.” <i>Laser &#38; Photonics Reviews</i>,
    vol. 16, no. 1, 2100252, Wiley, 2022, doi:<a href="https://doi.org/10.1002/lpor.202100252">10.1002/lpor.202100252</a>.
  short: J. Ren, Q. Liao, X. Ma, S. Schumacher, J. Yao, H. Fu, Laser &#38; Photonics
    Reviews 16 (2022).
date_created: 2022-04-27T19:51:49Z
date_updated: 2022-06-20T12:47:25Z
doi: 10.1002/lpor.202100252
intvolume: '        16'
issue: '1'
language:
- iso: eng
publication: Laser & Photonics Reviews
publication_identifier:
  issn:
  - 1863-8880
  - 1863-8899
publication_status: published
publisher: Wiley
status: public
title: Realization of Exciton‐Mediated Optical Spin‐Orbit Interaction in Organic Microcrystalline
  Resonators
type: journal_article
user_id: '59416'
volume: 16
year: '2022'
...
---
_id: '30967'
article_number: '022004'
author:
- first_name: Xiu
  full_name: Zhang, Xiu
  last_name: Zhang
- first_name: Zhenshi
  full_name: Chen, Zhenshi
  last_name: Chen
- first_name: Dong
  full_name: Liu, Dong
  last_name: Liu
- first_name: Lei
  full_name: Wan, Lei
  last_name: Wan
- first_name: Xuekai
  full_name: Ma, Xuekai
  id: '59416'
  last_name: Ma
- first_name: Tingge
  full_name: Gao, Tingge
  last_name: Gao
citation:
  ama: Zhang X, Chen Z, Liu D, Wan L, Ma X, Gao T. Controlling exciton distribution
    in WS2 monolayer on a photonic crystal. <i>Applied Physics Express</i>. 2022;15(2).
    doi:<a href="https://doi.org/10.35848/1882-0786/ac48d8">10.35848/1882-0786/ac48d8</a>
  apa: Zhang, X., Chen, Z., Liu, D., Wan, L., Ma, X., &#38; Gao, T. (2022). Controlling
    exciton distribution in WS2 monolayer on a photonic crystal. <i>Applied Physics
    Express</i>, <i>15</i>(2), Article 022004. <a href="https://doi.org/10.35848/1882-0786/ac48d8">https://doi.org/10.35848/1882-0786/ac48d8</a>
  bibtex: '@article{Zhang_Chen_Liu_Wan_Ma_Gao_2022, title={Controlling exciton distribution
    in WS2 monolayer on a photonic crystal}, volume={15}, DOI={<a href="https://doi.org/10.35848/1882-0786/ac48d8">10.35848/1882-0786/ac48d8</a>},
    number={2022004}, journal={Applied Physics Express}, publisher={IOP Publishing},
    author={Zhang, Xiu and Chen, Zhenshi and Liu, Dong and Wan, Lei and Ma, Xuekai
    and Gao, Tingge}, year={2022} }'
  chicago: Zhang, Xiu, Zhenshi Chen, Dong Liu, Lei Wan, Xuekai Ma, and Tingge Gao.
    “Controlling Exciton Distribution in WS2 Monolayer on a Photonic Crystal.” <i>Applied
    Physics Express</i> 15, no. 2 (2022). <a href="https://doi.org/10.35848/1882-0786/ac48d8">https://doi.org/10.35848/1882-0786/ac48d8</a>.
  ieee: 'X. Zhang, Z. Chen, D. Liu, L. Wan, X. Ma, and T. Gao, “Controlling exciton
    distribution in WS2 monolayer on a photonic crystal,” <i>Applied Physics Express</i>,
    vol. 15, no. 2, Art. no. 022004, 2022, doi: <a href="https://doi.org/10.35848/1882-0786/ac48d8">10.35848/1882-0786/ac48d8</a>.'
  mla: Zhang, Xiu, et al. “Controlling Exciton Distribution in WS2 Monolayer on a
    Photonic Crystal.” <i>Applied Physics Express</i>, vol. 15, no. 2, 022004, IOP
    Publishing, 2022, doi:<a href="https://doi.org/10.35848/1882-0786/ac48d8">10.35848/1882-0786/ac48d8</a>.
  short: X. Zhang, Z. Chen, D. Liu, L. Wan, X. Ma, T. Gao, Applied Physics Express
    15 (2022).
date_created: 2022-04-27T19:52:30Z
date_updated: 2022-06-20T12:47:49Z
doi: 10.35848/1882-0786/ac48d8
intvolume: '        15'
issue: '2'
language:
- iso: eng
publication: Applied Physics Express
publication_identifier:
  issn:
  - 1882-0778
  - 1882-0786
publication_status: published
publisher: IOP Publishing
status: public
title: Controlling exciton distribution in WS2 monolayer on a photonic crystal
type: journal_article
user_id: '59416'
volume: 15
year: '2022'
...
