---
_id: '64877'
author:
- first_name: Behnood
  full_name: Taheri, Behnood
  last_name: Taheri
- first_name: Denis
  full_name: Kopylov, Denis
  id: '98502'
  last_name: Kopylov
- first_name: Manfred
  full_name: Hammer, Manfred
  id: '48077'
  last_name: Hammer
  orcid: 0000-0002-6331-9348
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Jens
  full_name: Förstner, Jens
  id: '158'
  last_name: Förstner
  orcid: 0000-0001-7059-9862
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Taheri B, Kopylov D, Hammer M, Meier T, Förstner J, Sharapova PR. Gain-induced
    spectral non-degeneracy in type-II parametric down-conversion. <i>arXiv</i>. Published
    online 2026. doi:<a href="https://doi.org/10.48550/ARXIV.2603.01656">10.48550/ARXIV.2603.01656</a>
  apa: Taheri, B., Kopylov, D., Hammer, M., Meier, T., Förstner, J., &#38; Sharapova,
    P. R. (2026). Gain-induced spectral non-degeneracy in type-II parametric down-conversion.
    <i>ArXiv</i>. <a href="https://doi.org/10.48550/ARXIV.2603.01656">https://doi.org/10.48550/ARXIV.2603.01656</a>
  bibtex: '@article{Taheri_Kopylov_Hammer_Meier_Förstner_Sharapova_2026, title={Gain-induced
    spectral non-degeneracy in type-II parametric down-conversion}, DOI={<a href="https://doi.org/10.48550/ARXIV.2603.01656">10.48550/ARXIV.2603.01656</a>},
    journal={arXiv}, author={Taheri, Behnood and Kopylov, Denis and Hammer, Manfred
    and Meier, Torsten and Förstner, Jens and Sharapova, Polina R.}, year={2026} }'
  chicago: Taheri, Behnood, Denis Kopylov, Manfred Hammer, Torsten Meier, Jens Förstner,
    and Polina R. Sharapova. “Gain-Induced Spectral Non-Degeneracy in Type-II Parametric
    down-Conversion.” <i>ArXiv</i>, 2026. <a href="https://doi.org/10.48550/ARXIV.2603.01656">https://doi.org/10.48550/ARXIV.2603.01656</a>.
  ieee: 'B. Taheri, D. Kopylov, M. Hammer, T. Meier, J. Förstner, and P. R. Sharapova,
    “Gain-induced spectral non-degeneracy in type-II parametric down-conversion,”
    <i>arXiv</i>, 2026, doi: <a href="https://doi.org/10.48550/ARXIV.2603.01656">10.48550/ARXIV.2603.01656</a>.'
  mla: Taheri, Behnood, et al. “Gain-Induced Spectral Non-Degeneracy in Type-II Parametric
    down-Conversion.” <i>ArXiv</i>, 2026, doi:<a href="https://doi.org/10.48550/ARXIV.2603.01656">10.48550/ARXIV.2603.01656</a>.
  short: B. Taheri, D. Kopylov, M. Hammer, T. Meier, J. Förstner, P.R. Sharapova,
    ArXiv (2026).
date_created: 2026-03-10T15:37:22Z
date_updated: 2026-03-10T15:41:18Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '34'
- _id: '61'
- _id: '230'
- _id: '623'
- _id: '429'
doi: 10.48550/ARXIV.2603.01656
language:
- iso: eng
project:
- _id: '168'
  name: TRR 142 - Polaronen-Einfluss auf die optischen Eigenschaften von Lithiumniobat
    (B07*)
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
publication: arXiv
status: public
title: Gain-induced spectral non-degeneracy in type-II parametric down-conversion
type: journal_article
user_id: '16199'
year: '2026'
...
---
_id: '58544'
abstract:
- lang: eng
  text: 'We introduce a new classification of multimode states with a fixed number
    of photons. This classification is based on the factorizability of homogeneous
    multivariate polynomials and is invariant under unitary transformations. The classes
    physically correspond to field excitations in terms of single and multiple photons,
    each of which being in an arbitrary irreducible superposition of quantized modes.
    We further show how the transitions between classes are rendered possible by photon
    addition, photon subtraction, and photon-projection nonlinearities. We explicitly
    put forward a design for a multilayer interferometer in which the states for different
    classes can be generated with state-of-the-art experimental techniques. Limitations
    of the proposed designs are analyzed using the introduced classification, providing
    a benchmark for the robustness of certain states and classes. '
author:
- first_name: Denis
  full_name: Kopylov, Denis
  id: '98502'
  last_name: Kopylov
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: 0000-0002-5940-8057
- first_name: Laura
  full_name: Ares, Laura
  last_name: Ares
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: Jan
  full_name: Sperling, Jan
  id: '75127'
  last_name: Sperling
  orcid: 0000-0002-5844-3205
citation:
  ama: Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification
    for nonlinear optical circuits .
  apa: Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier,
    T., Sharapova, P., &#38; Sperling, J. (n.d.). <i>Multiphoton, multimode state
    classification for nonlinear optical circuits </i>.
  bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling,
    title={Multiphoton, multimode state classification for nonlinear optical circuits
    }, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo,
    Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and
    Sperling, Jan} }'
  chicago: Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina
    Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton,
    Multimode State Classification for Nonlinear Optical Circuits ,” n.d.
  ieee: D. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification for
    nonlinear optical circuits .” .
  mla: Kopylov, Denis, et al. <i>Multiphoton, Multimode State Classification for Nonlinear
    Optical Circuits </i>.
  short: D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier,
    P. Sharapova, J. Sperling, (n.d.).
date_created: 2025-02-10T08:26:45Z
date_updated: 2025-02-10T08:36:12Z
department:
- _id: '623'
- _id: '15'
- _id: '636'
external_id:
  arxiv:
  - '2502.05123'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2502.05123
oa: '1'
publication_status: submitted
status: public
title: 'Multiphoton, multimode state classification for nonlinear optical circuits '
type: preprint
user_id: '85279'
year: '2025'
...
---
_id: '58519'
abstract:
- lang: eng
  text: <jats:p>A unified theoretical approach to describe the properties of multimode
    squeezed light generated in a lossy medium is presented. This approach is valid
    for Markovian environments and includes both a model of discrete losses based
    on the beamsplitter approach and a generalized continuous loss model based on
    the spatial Langevin equation. For an important class of Gaussian states, we derive
    master equations for the second-order correlation functions and illustrate their
    solution for both frequency-independent and frequency-dependent losses. Studying
    the mode structure, we demonstrate that in a lossy environment no broadband basis
    without quadrature correlations between the different broadband modes exists.
    Therefore, various techniques and strategies to introduce broadband modes can
    be considered. We show that the Mercer expansion and the Williamson-Euler decomposition
    do not provide modes in which the maximal squeezing contained in the system can
    be measured. In turn, we find a new broadband basis that maximizes squeezing in
    the lossy system and present an algorithm to construct it.</jats:p>
article_number: '1621'
author:
- first_name: Denis A.
  full_name: Kopylov, Denis A.
  last_name: Kopylov
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Kopylov DA, Meier T, Sharapova PR. Theory of Multimode Squeezed Light Generation
    in Lossy Media. <i>Quantum</i>. 2025;9. doi:<a href="https://doi.org/10.22331/q-2025-02-04-1621">10.22331/q-2025-02-04-1621</a>
  apa: Kopylov, D. A., Meier, T., &#38; Sharapova, P. R. (2025). Theory of Multimode
    Squeezed Light Generation in Lossy Media. <i>Quantum</i>, <i>9</i>, Article 1621.
    <a href="https://doi.org/10.22331/q-2025-02-04-1621">https://doi.org/10.22331/q-2025-02-04-1621</a>
  bibtex: '@article{Kopylov_Meier_Sharapova_2025, title={Theory of Multimode Squeezed
    Light Generation in Lossy Media}, volume={9}, DOI={<a href="https://doi.org/10.22331/q-2025-02-04-1621">10.22331/q-2025-02-04-1621</a>},
    number={1621}, journal={Quantum}, publisher={Verein zur Forderung des Open Access
    Publizierens in den Quantenwissenschaften}, author={Kopylov, Denis A. and Meier,
    Torsten and Sharapova, Polina R.}, year={2025} }'
  chicago: Kopylov, Denis A., Torsten Meier, and Polina R. Sharapova. “Theory of Multimode
    Squeezed Light Generation in Lossy Media.” <i>Quantum</i> 9 (2025). <a href="https://doi.org/10.22331/q-2025-02-04-1621">https://doi.org/10.22331/q-2025-02-04-1621</a>.
  ieee: 'D. A. Kopylov, T. Meier, and P. R. Sharapova, “Theory of Multimode Squeezed
    Light Generation in Lossy Media,” <i>Quantum</i>, vol. 9, Art. no. 1621, 2025,
    doi: <a href="https://doi.org/10.22331/q-2025-02-04-1621">10.22331/q-2025-02-04-1621</a>.'
  mla: Kopylov, Denis A., et al. “Theory of Multimode Squeezed Light Generation in
    Lossy Media.” <i>Quantum</i>, vol. 9, 1621, Verein zur Forderung des Open Access
    Publizierens in den Quantenwissenschaften, 2025, doi:<a href="https://doi.org/10.22331/q-2025-02-04-1621">10.22331/q-2025-02-04-1621</a>.
  short: D.A. Kopylov, T. Meier, P.R. Sharapova, Quantum 9 (2025).
date_created: 2025-02-05T12:57:37Z
date_updated: 2025-09-18T13:22:26Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '623'
- _id: '27'
doi: 10.22331/q-2025-02-04-1621
intvolume: '         9'
language:
- iso: eng
project:
- _id: '266'
  name: 'PhoQC: PhoQC: Photonisches Quantencomputing'
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: Quantum
publication_identifier:
  issn:
  - 2521-327X
publication_status: published
publisher: Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
status: public
title: Theory of Multimode Squeezed Light Generation in Lossy Media
type: journal_article
user_id: '16199'
volume: 9
year: '2025'
...
---
_id: '62912'
abstract:
- lang: eng
  text: <jats:p>We investigate the dynamics of wave packets in a parabolic optical
    lattice formed by combining an optical lattice with a global parabolic trap. Our
    study examines the phase space representation of the system's eigenstates by comparing
    them to the classical phase space of a pendulum, to which the system effectively
    maps. The analysis reveals that quantum states can exhibit mixed dynamics by straddling
    the separatrix. A key finding is that the dynamics around the separatrix enables
    the controlled creation of highly nonclassical states, distinguishing them from
    the classical oscillatory or rotational dynamics of the pendulum. By considering
    a finite momentum of the initial wave packet, we demonstrate various dynamical
    regimes. Furthermore, a slight energy mismatch between nearly degenerate states
    localized at opposite turning points of the trap potential results in controlled
    long-range dynamical tunneling. These results can be interpreted as quantum beating
    between a clockwise rotating and a counterclockwise rotating pendulum.</jats:p>
article_number: '013141'
author:
- first_name: Usman
  full_name: Ali, Usman
  last_name: Ali
- first_name: Martin
  full_name: Holthaus, Martin
  last_name: Holthaus
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: 'Ali U, Holthaus M, Meier T. Wave packet dynamics in parabolic optical lattices:
    From Bloch oscillations to long-range dynamical tunneling. <i>Physical Review
    Research</i>. 2025;7(1). doi:<a href="https://doi.org/10.1103/physrevresearch.7.013141">10.1103/physrevresearch.7.013141</a>'
  apa: 'Ali, U., Holthaus, M., &#38; Meier, T. (2025). Wave packet dynamics in parabolic
    optical lattices: From Bloch oscillations to long-range dynamical tunneling. <i>Physical
    Review Research</i>, <i>7</i>(1), Article 013141. <a href="https://doi.org/10.1103/physrevresearch.7.013141">https://doi.org/10.1103/physrevresearch.7.013141</a>'
  bibtex: '@article{Ali_Holthaus_Meier_2025, title={Wave packet dynamics in parabolic
    optical lattices: From Bloch oscillations to long-range dynamical tunneling},
    volume={7}, DOI={<a href="https://doi.org/10.1103/physrevresearch.7.013141">10.1103/physrevresearch.7.013141</a>},
    number={1013141}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Ali, Usman and Holthaus, Martin and Meier, Torsten}, year={2025}
    }'
  chicago: 'Ali, Usman, Martin Holthaus, and Torsten Meier. “Wave Packet Dynamics
    in Parabolic Optical Lattices: From Bloch Oscillations to Long-Range Dynamical
    Tunneling.” <i>Physical Review Research</i> 7, no. 1 (2025). <a href="https://doi.org/10.1103/physrevresearch.7.013141">https://doi.org/10.1103/physrevresearch.7.013141</a>.'
  ieee: 'U. Ali, M. Holthaus, and T. Meier, “Wave packet dynamics in parabolic optical
    lattices: From Bloch oscillations to long-range dynamical tunneling,” <i>Physical
    Review Research</i>, vol. 7, no. 1, Art. no. 013141, 2025, doi: <a href="https://doi.org/10.1103/physrevresearch.7.013141">10.1103/physrevresearch.7.013141</a>.'
  mla: 'Ali, Usman, et al. “Wave Packet Dynamics in Parabolic Optical Lattices: From
    Bloch Oscillations to Long-Range Dynamical Tunneling.” <i>Physical Review Research</i>,
    vol. 7, no. 1, 013141, American Physical Society (APS), 2025, doi:<a href="https://doi.org/10.1103/physrevresearch.7.013141">10.1103/physrevresearch.7.013141</a>.'
  short: U. Ali, M. Holthaus, T. Meier, Physical Review Research 7 (2025).
date_created: 2025-12-05T09:36:31Z
date_updated: 2025-12-05T09:37:10Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
- _id: '35'
doi: 10.1103/physrevresearch.7.013141
intvolume: '         7'
issue: '1'
language:
- iso: eng
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: 'Wave packet dynamics in parabolic optical lattices: From Bloch oscillations
  to long-range dynamical tunneling'
type: journal_article
user_id: '16199'
volume: 7
year: '2025'
...
---
_id: '62911'
abstract:
- lang: eng
  text: <jats:p>In this paper, we theoretically study the spectral and temporal properties
    of pulsed spontaneous parametric down-conversion (SPDC) generated in lossy waveguides.
    Our theoretical approach is based on the formalism of Gaussian states and the
    Langevin equation, which is elaborated for weak parametric down-conversion and
    photon-number-unresolved click detection. Using the example of frequency-degenerate
    type-II SPDC generated under the pump-idler group-velocity-matching condition,
    we show how the joint-spectral intensity, mode structure, normalized second-order
    correlation function, and Hong-Ou-Mandel interference pattern depend on internal
    losses of the SPDC process. We found that the joint-spectral intensity is almost
    insensitive to internal losses, while the second-order correlation function shows
    a strong dependence on them, being different for the signal and idler beams in
    the presence of internal losses. Based on the sensitivity of the normalized second-order
    correlation function, we show how its measurement can be used to experimentally
    determine internal losses.</jats:p>
article_number: '033122'
author:
- first_name: Denis A.
  full_name: Kopylov, Denis A.
  last_name: Kopylov
- first_name: Michael
  full_name: Stefszky, Michael
  id: '42777'
  last_name: Stefszky
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: 'Kopylov DA, Stefszky M, Meier T, Silberhorn C, Sharapova PR. Spectral and
    temporal properties of type-II parametric down-conversion: The impact of losses
    during state generation. <i>Physical Review Research</i>. 2025;7(3). doi:<a href="https://doi.org/10.1103/zp72-7qwl">10.1103/zp72-7qwl</a>'
  apa: 'Kopylov, D. A., Stefszky, M., Meier, T., Silberhorn, C., &#38; Sharapova,
    P. R. (2025). Spectral and temporal properties of type-II parametric down-conversion:
    The impact of losses during state generation. <i>Physical Review Research</i>,
    <i>7</i>(3), Article 033122. <a href="https://doi.org/10.1103/zp72-7qwl">https://doi.org/10.1103/zp72-7qwl</a>'
  bibtex: '@article{Kopylov_Stefszky_Meier_Silberhorn_Sharapova_2025, title={Spectral
    and temporal properties of type-II parametric down-conversion: The impact of losses
    during state generation}, volume={7}, DOI={<a href="https://doi.org/10.1103/zp72-7qwl">10.1103/zp72-7qwl</a>},
    number={3033122}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Kopylov, Denis A. and Stefszky, Michael and Meier, Torsten
    and Silberhorn, Christine and Sharapova, Polina R.}, year={2025} }'
  chicago: 'Kopylov, Denis A., Michael Stefszky, Torsten Meier, Christine Silberhorn,
    and Polina R. Sharapova. “Spectral and Temporal Properties of Type-II Parametric
    down-Conversion: The Impact of Losses during State Generation.” <i>Physical Review
    Research</i> 7, no. 3 (2025). <a href="https://doi.org/10.1103/zp72-7qwl">https://doi.org/10.1103/zp72-7qwl</a>.'
  ieee: 'D. A. Kopylov, M. Stefszky, T. Meier, C. Silberhorn, and P. R. Sharapova,
    “Spectral and temporal properties of type-II parametric down-conversion: The impact
    of losses during state generation,” <i>Physical Review Research</i>, vol. 7, no.
    3, Art. no. 033122, 2025, doi: <a href="https://doi.org/10.1103/zp72-7qwl">10.1103/zp72-7qwl</a>.'
  mla: 'Kopylov, Denis A., et al. “Spectral and Temporal Properties of Type-II Parametric
    down-Conversion: The Impact of Losses during State Generation.” <i>Physical Review
    Research</i>, vol. 7, no. 3, 033122, American Physical Society (APS), 2025, doi:<a
    href="https://doi.org/10.1103/zp72-7qwl">10.1103/zp72-7qwl</a>.'
  short: D.A. Kopylov, M. Stefszky, T. Meier, C. Silberhorn, P.R. Sharapova, Physical
    Review Research 7 (2025).
date_created: 2025-12-05T09:33:36Z
date_updated: 2025-12-05T09:55:22Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '288'
- _id: '230'
- _id: '623'
- _id: '429'
- _id: '35'
doi: 10.1103/zp72-7qwl
intvolume: '         7'
issue: '3'
language:
- iso: eng
project:
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: 'Spectral and temporal properties of type-II parametric down-conversion: The
  impact of losses during state generation'
type: journal_article
user_id: '16199'
volume: 7
year: '2025'
...
---
_id: '62913'
author:
- first_name: Anna
  full_name: Hunstig, Anna
  id: '73659'
  last_name: Hunstig
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
- first_name: Hendrik
  full_name: Rose, Hendrik
  id: '55958'
  last_name: Rose
  orcid: 0000-0002-3079-5428
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: 'Hunstig A, Peitz S, Rose H, Meier T. Accelerating the analysis of optical
    quantum systems using the Koopman operator. In: <i>2024 IEEE 63rd Conference on
    Decision and Control (CDC)</i>. IEEE; 2025. doi:<a href="https://doi.org/10.1109/cdc56724.2024.10886589">10.1109/cdc56724.2024.10886589</a>'
  apa: Hunstig, A., Peitz, S., Rose, H., &#38; Meier, T. (2025). Accelerating the
    analysis of optical quantum systems using the Koopman operator. <i>2024 IEEE 63rd
    Conference on Decision and Control (CDC)</i>. <a href="https://doi.org/10.1109/cdc56724.2024.10886589">https://doi.org/10.1109/cdc56724.2024.10886589</a>
  bibtex: '@inproceedings{Hunstig_Peitz_Rose_Meier_2025, title={Accelerating the analysis
    of optical quantum systems using the Koopman operator}, DOI={<a href="https://doi.org/10.1109/cdc56724.2024.10886589">10.1109/cdc56724.2024.10886589</a>},
    booktitle={2024 IEEE 63rd Conference on Decision and Control (CDC)}, publisher={IEEE},
    author={Hunstig, Anna and Peitz, Sebastian and Rose, Hendrik and Meier, Torsten},
    year={2025} }'
  chicago: Hunstig, Anna, Sebastian Peitz, Hendrik Rose, and Torsten Meier. “Accelerating
    the Analysis of Optical Quantum Systems Using the Koopman Operator.” In <i>2024
    IEEE 63rd Conference on Decision and Control (CDC)</i>. IEEE, 2025. <a href="https://doi.org/10.1109/cdc56724.2024.10886589">https://doi.org/10.1109/cdc56724.2024.10886589</a>.
  ieee: 'A. Hunstig, S. Peitz, H. Rose, and T. Meier, “Accelerating the analysis of
    optical quantum systems using the Koopman operator,” 2025, doi: <a href="https://doi.org/10.1109/cdc56724.2024.10886589">10.1109/cdc56724.2024.10886589</a>.'
  mla: Hunstig, Anna, et al. “Accelerating the Analysis of Optical Quantum Systems
    Using the Koopman Operator.” <i>2024 IEEE 63rd Conference on Decision and Control
    (CDC)</i>, IEEE, 2025, doi:<a href="https://doi.org/10.1109/cdc56724.2024.10886589">10.1109/cdc56724.2024.10886589</a>.
  short: 'A. Hunstig, S. Peitz, H. Rose, T. Meier, in: 2024 IEEE 63rd Conference on
    Decision and Control (CDC), IEEE, 2025.'
date_created: 2025-12-05T09:37:58Z
date_updated: 2025-12-05T09:40:24Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
- _id: '623'
- _id: '35'
doi: 10.1109/cdc56724.2024.10886589
language:
- iso: eng
project:
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
publication: 2024 IEEE 63rd Conference on Decision and Control (CDC)
publication_status: published
publisher: IEEE
status: public
title: Accelerating the analysis of optical quantum systems using the Koopman operator
type: conference
user_id: '16199'
year: '2025'
...
---
_id: '62980'
abstract:
- lang: eng
  text: <jats:p>We introduce a new classification of multimode states with a fixed
    number of photons. This classification is based on the factorizability of homogeneous
    multivariate polynomials and is invariant under unitary transformations. The classes
    physically correspond to field excitations in terms of single and multiple photons,
    each of which is in an arbitrary irreducible superposition of quantized modes.
    We further show how the transitions between classes are rendered possible by photon
    addition, photon subtraction, and photon-projection nonlinearities. We explicitly
    put forward a design for a multilayer interferometer in which the states for different
    classes can be generated with state-of-the-art experimental techniques. Limitations
    of the proposed designs are analyzed using the introduced classification, providing
    a benchmark for the robustness of certain states and classes.</jats:p>
article_number: '033062'
author:
- first_name: Denis A.
  full_name: Kopylov, Denis A.
  last_name: Kopylov
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: 0000-0002-5940-8057
- first_name: Laura
  full_name: Ares, Laura
  last_name: Ares
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
- first_name: Jan
  full_name: Sperling, Jan
  id: '75127'
  last_name: Sperling
  orcid: 0000-0002-5844-3205
citation:
  ama: Kopylov DA, Offen C, Ares L, et al. Multiphoton, multimode state classification
    for nonlinear optical circuits. <i>Physical Review Research</i>. 2025;7(3). doi:<a
    href="https://doi.org/10.1103/sv6z-v1gk">10.1103/sv6z-v1gk</a>
  apa: Kopylov, D. A., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S.,
    Meier, T., Sharapova, P. R., &#38; Sperling, J. (2025). Multiphoton, multimode
    state classification for nonlinear optical circuits. <i>Physical Review Research</i>,
    <i>7</i>(3), Article 033062. <a href="https://doi.org/10.1103/sv6z-v1gk">https://doi.org/10.1103/sv6z-v1gk</a>
  bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling_2025,
    title={Multiphoton, multimode state classification for nonlinear optical circuits},
    volume={7}, DOI={<a href="https://doi.org/10.1103/sv6z-v1gk">10.1103/sv6z-v1gk</a>},
    number={3033062}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Kopylov, Denis A. and Offen, Christian and Ares, Laura
    and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova,
    Polina R. and Sperling, Jan}, year={2025} }'
  chicago: Kopylov, Denis A., Christian Offen, Laura Ares, Boris Edgar Wembe Moafo,
    Sina Ober-Blöbaum, Torsten Meier, Polina R. Sharapova, and Jan Sperling. “Multiphoton,
    Multimode State Classification for Nonlinear Optical Circuits.” <i>Physical Review
    Research</i> 7, no. 3 (2025). <a href="https://doi.org/10.1103/sv6z-v1gk">https://doi.org/10.1103/sv6z-v1gk</a>.
  ieee: 'D. A. Kopylov <i>et al.</i>, “Multiphoton, multimode state classification
    for nonlinear optical circuits,” <i>Physical Review Research</i>, vol. 7, no.
    3, Art. no. 033062, 2025, doi: <a href="https://doi.org/10.1103/sv6z-v1gk">10.1103/sv6z-v1gk</a>.'
  mla: Kopylov, Denis A., et al. “Multiphoton, Multimode State Classification for
    Nonlinear Optical Circuits.” <i>Physical Review Research</i>, vol. 7, no. 3, 033062,
    American Physical Society (APS), 2025, doi:<a href="https://doi.org/10.1103/sv6z-v1gk">10.1103/sv6z-v1gk</a>.
  short: D.A. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier,
    P.R. Sharapova, J. Sperling, Physical Review Research 7 (2025).
date_created: 2025-12-09T09:08:39Z
date_updated: 2025-12-09T09:10:01Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '706'
- _id: '636'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '623'
doi: 10.1103/sv6z-v1gk
intvolume: '         7'
issue: '3'
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Multiphoton, multimode state classification for nonlinear optical circuits
type: journal_article
user_id: '16199'
volume: 7
year: '2025'
...
---
_id: '62979'
abstract:
- lang: eng
  text: We introduce a new classification of multimode states with a fixed number
    of photons. This classification is based on the factorizability of homogeneous
    multivariate polynomials and is invariant under unitary transformations. The classes
    physically correspond to field excitations in terms of single and multiple photons,
    each of which being in an arbitrary irreducible superposition of quantized modes.
    We further show how the transitions between classes are rendered possible by photon
    addition, photon subtraction, and photon-projection nonlinearities. We explicitly
    put forward a design for a multilayer interferometer in which the states for different
    classes can be generated with state-of-the-art experimental techniques. Limitations
    of the proposed designs are analyzed using the introduced classification, providing
    a benchmark for the robustness of certain states and classes.
author:
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
- first_name: Jan
  full_name: Sperling, Jan
  id: '75127'
  last_name: Sperling
  orcid: 0000-0002-5844-3205
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: 0000-0002-5940-8057
citation:
  ama: Meier T, Sharapova PR, Sperling J, Ober-Blöbaum S, Wembe Moafo BE, Offen C.
    Multiphoton, multimode state classification for nonlinear optical circuits. Published
    online 2025.
  apa: Meier, T., Sharapova, P. R., Sperling, J., Ober-Blöbaum, S., Wembe Moafo, B.
    E., &#38; Offen, C. (2025). <i>Multiphoton, multimode state classification for
    nonlinear optical circuits</i>.
  bibtex: '@article{Meier_Sharapova_Sperling_Ober-Blöbaum_Wembe Moafo_Offen_2025,
    title={Multiphoton, multimode state classification for nonlinear optical circuits},
    author={Meier, Torsten and Sharapova, Polina R. and Sperling, Jan and Ober-Blöbaum,
    Sina and Wembe Moafo, Boris Edgar and Offen, Christian}, year={2025} }'
  chicago: Meier, Torsten, Polina R. Sharapova, Jan Sperling, Sina Ober-Blöbaum, Boris
    Edgar Wembe Moafo, and Christian Offen. “Multiphoton, Multimode State Classification
    for Nonlinear Optical Circuits,” 2025.
  ieee: T. Meier, P. R. Sharapova, J. Sperling, S. Ober-Blöbaum, B. E. Wembe Moafo,
    and C. Offen, “Multiphoton, multimode state classification for nonlinear optical
    circuits.” 2025.
  mla: Meier, Torsten, et al. <i>Multiphoton, Multimode State Classification for Nonlinear
    Optical Circuits</i>. 2025.
  short: T. Meier, P.R. Sharapova, J. Sperling, S. Ober-Blöbaum, B.E. Wembe Moafo,
    C. Offen, (2025).
date_created: 2025-12-09T08:59:27Z
date_updated: 2025-12-09T09:10:23Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '706'
- _id: '636'
- _id: '230'
- _id: '623'
- _id: '429'
- _id: '35'
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
status: public
title: Multiphoton, multimode state classification for nonlinear optical circuits
type: preprint
user_id: '16199'
year: '2025'
...
---
_id: '63160'
article_number: '245304'
author:
- first_name: Hendrik
  full_name: Rose, Hendrik
  id: '55958'
  last_name: Rose
  orcid: 0000-0002-3079-5428
- first_name: Stefan
  full_name: Schumacher, Stefan
  id: '27271'
  last_name: Schumacher
  orcid: 0000-0003-4042-4951
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: 'Rose H, Schumacher S, Meier T. Microscopic approach to the quantized light-matter
    interaction in semiconductor nanostructures: Complex coupled dynamics of excitons,
    biexcitons, and photons. <i>Physical Review B</i>. 2025;112(24). doi:<a href="https://doi.org/10.1103/528f-7smh">10.1103/528f-7smh</a>'
  apa: 'Rose, H., Schumacher, S., &#38; Meier, T. (2025). Microscopic approach to
    the quantized light-matter interaction in semiconductor nanostructures: Complex
    coupled dynamics of excitons, biexcitons, and photons. <i>Physical Review B</i>,
    <i>112</i>(24), Article 245304. <a href="https://doi.org/10.1103/528f-7smh">https://doi.org/10.1103/528f-7smh</a>'
  bibtex: '@article{Rose_Schumacher_Meier_2025, title={Microscopic approach to the
    quantized light-matter interaction in semiconductor nanostructures: Complex coupled
    dynamics of excitons, biexcitons, and photons}, volume={112}, DOI={<a href="https://doi.org/10.1103/528f-7smh">10.1103/528f-7smh</a>},
    number={24245304}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Rose, Hendrik and Schumacher, Stefan and Meier, Torsten}, year={2025}
    }'
  chicago: 'Rose, Hendrik, Stefan Schumacher, and Torsten Meier. “Microscopic Approach
    to the Quantized Light-Matter Interaction in Semiconductor Nanostructures: Complex
    Coupled Dynamics of Excitons, Biexcitons, and Photons.” <i>Physical Review B</i>
    112, no. 24 (2025). <a href="https://doi.org/10.1103/528f-7smh">https://doi.org/10.1103/528f-7smh</a>.'
  ieee: 'H. Rose, S. Schumacher, and T. Meier, “Microscopic approach to the quantized
    light-matter interaction in semiconductor nanostructures: Complex coupled dynamics
    of excitons, biexcitons, and photons,” <i>Physical Review B</i>, vol. 112, no.
    24, Art. no. 245304, 2025, doi: <a href="https://doi.org/10.1103/528f-7smh">10.1103/528f-7smh</a>.'
  mla: 'Rose, Hendrik, et al. “Microscopic Approach to the Quantized Light-Matter
    Interaction in Semiconductor Nanostructures: Complex Coupled Dynamics of Excitons,
    Biexcitons, and Photons.” <i>Physical Review B</i>, vol. 112, no. 24, 245304,
    American Physical Society (APS), 2025, doi:<a href="https://doi.org/10.1103/528f-7smh">10.1103/528f-7smh</a>.'
  short: H. Rose, S. Schumacher, T. Meier, Physical Review B 112 (2025).
date_created: 2025-12-16T15:50:42Z
date_updated: 2025-12-16T15:52:55Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '297'
- _id: '623'
- _id: '429'
- _id: '230'
- _id: '35'
- _id: '27'
doi: 10.1103/528f-7smh
intvolume: '       112'
issue: '24'
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '54'
  name: TRR 142 - Project Area A
- _id: '59'
  name: 'TRR 142; TP A02: Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen
    mit Quantenlicht'
- _id: '445'
  name: Hochleistungsrechner Noctua in Paderborn
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: 'Microscopic approach to the quantized light-matter interaction in semiconductor
  nanostructures: Complex coupled dynamics of excitons, biexcitons, and photons'
type: journal_article
user_id: '16199'
volume: 112
year: '2025'
...
---
_id: '63562'
abstract:
- lang: eng
  text: '<jats:p>Entangled two-mode Gaussian states constitute an important building
    block for continuous variable quantum computing and communication protocols. In
    this work, we theoretically study two-mode bipartite states, which are extracted
    from multimode light generated via type-II parametric downconversion (PDC) in
    lossy waveguides. For these states, we demonstrate that the squeezing quantifies
    entanglement and we construct a measurement basis, which results in the maximal
    bipartite entanglement. We illustrate our findings by numerically solving the
    spatial master equation for PDC in a Markovian environment. The optimal measurement
    modes are compared with two widely used broadband bases: the Mercer–Wolf basis
    (the first-order coherence basis) and the Williamson–Euler basis.</jats:p>'
article_number: '046116'
author:
- first_name: Denis
  full_name: Kopylov, Denis
  id: '98502'
  last_name: Kopylov
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
citation:
  ama: Kopylov D, Meier T, Sharapova PR. Bipartite entanglement extracted from multimode
    squeezed light generated in lossy waveguides. <i>APL Quantum</i>. 2025;2(4). doi:<a
    href="https://doi.org/10.1063/5.0293116">10.1063/5.0293116</a>
  apa: Kopylov, D., Meier, T., &#38; Sharapova, P. R. (2025). Bipartite entanglement
    extracted from multimode squeezed light generated in lossy waveguides. <i>APL
    Quantum</i>, <i>2</i>(4), Article 046116. <a href="https://doi.org/10.1063/5.0293116">https://doi.org/10.1063/5.0293116</a>
  bibtex: '@article{Kopylov_Meier_Sharapova_2025, title={Bipartite entanglement extracted
    from multimode squeezed light generated in lossy waveguides}, volume={2}, DOI={<a
    href="https://doi.org/10.1063/5.0293116">10.1063/5.0293116</a>}, number={4046116},
    journal={APL Quantum}, publisher={AIP Publishing}, author={Kopylov, Denis and
    Meier, Torsten and Sharapova, Polina R.}, year={2025} }'
  chicago: Kopylov, Denis, Torsten Meier, and Polina R. Sharapova. “Bipartite Entanglement
    Extracted from Multimode Squeezed Light Generated in Lossy Waveguides.” <i>APL
    Quantum</i> 2, no. 4 (2025). <a href="https://doi.org/10.1063/5.0293116">https://doi.org/10.1063/5.0293116</a>.
  ieee: 'D. Kopylov, T. Meier, and P. R. Sharapova, “Bipartite entanglement extracted
    from multimode squeezed light generated in lossy waveguides,” <i>APL Quantum</i>,
    vol. 2, no. 4, Art. no. 046116, 2025, doi: <a href="https://doi.org/10.1063/5.0293116">10.1063/5.0293116</a>.'
  mla: Kopylov, Denis, et al. “Bipartite Entanglement Extracted from Multimode Squeezed
    Light Generated in Lossy Waveguides.” <i>APL Quantum</i>, vol. 2, no. 4, 046116,
    AIP Publishing, 2025, doi:<a href="https://doi.org/10.1063/5.0293116">10.1063/5.0293116</a>.
  short: D. Kopylov, T. Meier, P.R. Sharapova, APL Quantum 2 (2025).
date_created: 2026-01-12T13:18:51Z
date_updated: 2026-01-12T13:23:36Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '429'
- _id: '230'
- _id: '623'
- _id: '35'
doi: 10.1063/5.0293116
intvolume: '         2'
issue: '4'
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '266'
  name: 'PhoQC: Photonisches Quantencomputing'
publication: APL Quantum
publication_identifier:
  issn:
  - 2835-0103
publication_status: published
publisher: AIP Publishing
status: public
title: Bipartite entanglement extracted from multimode squeezed light generated in
  lossy waveguides
type: journal_article
user_id: '16199'
volume: 2
year: '2025'
...
---
_id: '55264'
abstract:
- lang: eng
  text: <jats:p>Tunneling ionization is a crucial process in the interaction between
    strong laser fields and matter which initiates numerous nonlinear phenomena including
    high-order harmonic generation, photoelectron holography, etc. Both adiabatic
    and nonadiabatic tunneling ionization are well understood in atomic systems. However,
    the tunneling dynamics in solids, especially nonadiabatic tunneling, has not yet
    been fully understood. Here, we study the sub-cycle resolved strong-field tunneling
    dynamics in solids via a complex saddle-point method. We compare the instantaneous
    momentum at the moment of tunneling and the tunneling distances over a range of
    Keldysh parameters. Our results demonstrate that for nonadiabatic tunneling, tunneling
    ionization away from Γ point is possible. When this happens the electron has a
    nonzero initial velocity when it emerges in the conduction band. Moreover, consistent
    with atomic tunneling, a reduced tunneling distance as compared to the quasi-static
    case is found. Our results provide remarkable insight into the basic physics governing
    the sub-cycle electron tunneling dynamics with significant implications for understanding
    subsequent strong-field nonlinear phenomena in solids.</jats:p>
article_number: '15862'
author:
- first_name: Shidong
  full_name: Yang, Shidong
  last_name: Yang
- first_name: Xiwang
  full_name: Liu, Xiwang
  last_name: Liu
- first_name: Hongdan
  full_name: Zhang, Hongdan
  last_name: Zhang
- first_name: Xiaohong
  full_name: Song, Xiaohong
  last_name: Song
- first_name: Ruixin
  full_name: Zuo, Ruixin
  last_name: Zuo
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Weifeng
  full_name: Yang, Weifeng
  last_name: Yang
citation:
  ama: Yang S, Liu X, Zhang H, et al. Sub-cycle strong-field tunneling dynamics in
    solids. <i>Optics Express</i>. 2024;32(9). doi:<a href="https://doi.org/10.1364/oe.521207">10.1364/oe.521207</a>
  apa: Yang, S., Liu, X., Zhang, H., Song, X., Zuo, R., Meier, T., &#38; Yang, W.
    (2024). Sub-cycle strong-field tunneling dynamics in solids. <i>Optics Express</i>,
    <i>32</i>(9), Article 15862. <a href="https://doi.org/10.1364/oe.521207">https://doi.org/10.1364/oe.521207</a>
  bibtex: '@article{Yang_Liu_Zhang_Song_Zuo_Meier_Yang_2024, title={Sub-cycle strong-field
    tunneling dynamics in solids}, volume={32}, DOI={<a href="https://doi.org/10.1364/oe.521207">10.1364/oe.521207</a>},
    number={915862}, journal={Optics Express}, publisher={Optica Publishing Group},
    author={Yang, Shidong and Liu, Xiwang and Zhang, Hongdan and Song, Xiaohong and
    Zuo, Ruixin and Meier, Torsten and Yang, Weifeng}, year={2024} }'
  chicago: Yang, Shidong, Xiwang Liu, Hongdan Zhang, Xiaohong Song, Ruixin Zuo, Torsten
    Meier, and Weifeng Yang. “Sub-Cycle Strong-Field Tunneling Dynamics in Solids.”
    <i>Optics Express</i> 32, no. 9 (2024). <a href="https://doi.org/10.1364/oe.521207">https://doi.org/10.1364/oe.521207</a>.
  ieee: 'S. Yang <i>et al.</i>, “Sub-cycle strong-field tunneling dynamics in solids,”
    <i>Optics Express</i>, vol. 32, no. 9, Art. no. 15862, 2024, doi: <a href="https://doi.org/10.1364/oe.521207">10.1364/oe.521207</a>.'
  mla: Yang, Shidong, et al. “Sub-Cycle Strong-Field Tunneling Dynamics in Solids.”
    <i>Optics Express</i>, vol. 32, no. 9, 15862, Optica Publishing Group, 2024, doi:<a
    href="https://doi.org/10.1364/oe.521207">10.1364/oe.521207</a>.
  short: S. Yang, X. Liu, H. Zhang, X. Song, R. Zuo, T. Meier, W. Yang, Optics Express
    32 (2024).
date_created: 2024-07-15T09:25:30Z
date_updated: 2024-07-15T09:29:23Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
- _id: '35'
doi: 10.1364/oe.521207
intvolume: '        32'
issue: '9'
language:
- iso: eng
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
status: public
title: Sub-cycle strong-field tunneling dynamics in solids
type: journal_article
user_id: '16199'
volume: 32
year: '2024'
...
---
_id: '55267'
article_number: '075301'
author:
- first_name: F.
  full_name: Schäfer, F.
  last_name: Schäfer
- first_name: A.
  full_name: Trautmann, A.
  last_name: Trautmann
- first_name: C.
  full_name: Ngo, C.
  last_name: Ngo
- first_name: J. T.
  full_name: Steiner, J. T.
  last_name: Steiner
- first_name: C.
  full_name: Fuchs, C.
  last_name: Fuchs
- first_name: K.
  full_name: Volz, K.
  last_name: Volz
- first_name: F.
  full_name: Dobener, F.
  last_name: Dobener
- first_name: M.
  full_name: Stein, M.
  last_name: Stein
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: S.
  full_name: Chatterjee, S.
  last_name: Chatterjee
citation:
  ama: Schäfer F, Trautmann A, Ngo C, et al. Optical Stark effect in type-II semiconductor
    heterostructures. <i>Physical Review B</i>. 2024;109(7). doi:<a href="https://doi.org/10.1103/physrevb.109.075301">10.1103/physrevb.109.075301</a>
  apa: Schäfer, F., Trautmann, A., Ngo, C., Steiner, J. T., Fuchs, C., Volz, K., Dobener,
    F., Stein, M., Meier, T., &#38; Chatterjee, S. (2024). Optical Stark effect in
    type-II semiconductor heterostructures. <i>Physical Review B</i>, <i>109</i>(7),
    Article 075301. <a href="https://doi.org/10.1103/physrevb.109.075301">https://doi.org/10.1103/physrevb.109.075301</a>
  bibtex: '@article{Schäfer_Trautmann_Ngo_Steiner_Fuchs_Volz_Dobener_Stein_Meier_Chatterjee_2024,
    title={Optical Stark effect in type-II semiconductor heterostructures}, volume={109},
    DOI={<a href="https://doi.org/10.1103/physrevb.109.075301">10.1103/physrevb.109.075301</a>},
    number={7075301}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Schäfer, F. and Trautmann, A. and Ngo, C. and Steiner, J. T. and
    Fuchs, C. and Volz, K. and Dobener, F. and Stein, M. and Meier, Torsten and Chatterjee,
    S.}, year={2024} }'
  chicago: Schäfer, F., A. Trautmann, C. Ngo, J. T. Steiner, C. Fuchs, K. Volz, F.
    Dobener, M. Stein, Torsten Meier, and S. Chatterjee. “Optical Stark Effect in
    Type-II Semiconductor Heterostructures.” <i>Physical Review B</i> 109, no. 7 (2024).
    <a href="https://doi.org/10.1103/physrevb.109.075301">https://doi.org/10.1103/physrevb.109.075301</a>.
  ieee: 'F. Schäfer <i>et al.</i>, “Optical Stark effect in type-II semiconductor
    heterostructures,” <i>Physical Review B</i>, vol. 109, no. 7, Art. no. 075301,
    2024, doi: <a href="https://doi.org/10.1103/physrevb.109.075301">10.1103/physrevb.109.075301</a>.'
  mla: Schäfer, F., et al. “Optical Stark Effect in Type-II Semiconductor Heterostructures.”
    <i>Physical Review B</i>, vol. 109, no. 7, 075301, American Physical Society (APS),
    2024, doi:<a href="https://doi.org/10.1103/physrevb.109.075301">10.1103/physrevb.109.075301</a>.
  short: F. Schäfer, A. Trautmann, C. Ngo, J.T. Steiner, C. Fuchs, K. Volz, F. Dobener,
    M. Stein, T. Meier, S. Chatterjee, Physical Review B 109 (2024).
date_created: 2024-07-15T09:47:27Z
date_updated: 2024-07-15T09:49:41Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '27'
doi: 10.1103/physrevb.109.075301
intvolume: '       109'
issue: '7'
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
- _id: '53'
  grant_number: '231447078'
  name: 'TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden
    Konzepten zu funktionellen Strukturen'
- _id: '165'
  grant_number: '231447078'
  name: 'TRR 142 - A10: TRR 142 - Nichtlinearitäten von atomar dünnen Übergangsmetall-Dichalkogeniden
    in starken Feldern (A10)'
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Optical Stark effect in type-II semiconductor heterostructures
type: journal_article
user_id: '16199'
volume: 109
year: '2024'
...
---
_id: '54405'
abstract:
- lang: eng
  text: Dataset of the publication "Microscopic simulations of the dynamics of excitonic
    many-body correlations coupled to quantum light" H. Rose, P. R. Sharapova, and
    T. Meier, Proc. SPIE 12884, Ultrafast Phenomena and Nanophotonics XXVIII, 1288403
    (2024). ( https://doi.org/10.1117/12.2690245 ). The zip file includes the data
    on which the plots shown in figures 1 and 2 are based.
author:
- first_name: Hendrik
  full_name: Rose, Hendrik
  id: '55958'
  last_name: Rose
  orcid: 0000-0002-3079-5428
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: Rose H, Sharapova P, Meier T. <i>Microscopic Simulations of the Dynamics of
    Excitonic Many-Body Correlations Coupled to Quantum Light</i>. LibreCat University;
    2024. doi:<a href="https://doi.org/10.5281/ZENODO.10817980">10.5281/ZENODO.10817980</a>
  apa: Rose, H., Sharapova, P., &#38; Meier, T. (2024). <i>Microscopic simulations
    of the dynamics of excitonic many-body correlations coupled to quantum light</i>.
    LibreCat University. <a href="https://doi.org/10.5281/ZENODO.10817980">https://doi.org/10.5281/ZENODO.10817980</a>
  bibtex: '@book{Rose_Sharapova_Meier_2024, title={Microscopic simulations of the
    dynamics of excitonic many-body correlations coupled to quantum light}, DOI={<a
    href="https://doi.org/10.5281/ZENODO.10817980">10.5281/ZENODO.10817980</a>}, publisher={LibreCat
    University}, author={Rose, Hendrik and Sharapova, Polina and Meier, Torsten},
    year={2024} }'
  chicago: Rose, Hendrik, Polina Sharapova, and Torsten Meier. <i>Microscopic Simulations
    of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light</i>.
    LibreCat University, 2024. <a href="https://doi.org/10.5281/ZENODO.10817980">https://doi.org/10.5281/ZENODO.10817980</a>.
  ieee: H. Rose, P. Sharapova, and T. Meier, <i>Microscopic simulations of the dynamics
    of excitonic many-body correlations coupled to quantum light</i>. LibreCat University,
    2024.
  mla: Rose, Hendrik, et al. <i>Microscopic Simulations of the Dynamics of Excitonic
    Many-Body Correlations Coupled to Quantum Light</i>. LibreCat University, 2024,
    doi:<a href="https://doi.org/10.5281/ZENODO.10817980">10.5281/ZENODO.10817980</a>.
  short: H. Rose, P. Sharapova, T. Meier, Microscopic Simulations of the Dynamics
    of Excitonic Many-Body Correlations Coupled to Quantum Light, LibreCat University,
    2024.
date_created: 2024-05-21T14:31:43Z
date_updated: 2024-08-09T05:15:58Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
doi: 10.5281/ZENODO.10817980
publisher: LibreCat University
status: public
title: Microscopic simulations of the dynamics of excitonic many-body correlations
  coupled to quantum light
type: research_data
user_id: '16199'
year: '2024'
...
---
_id: '55268'
author:
- first_name: Hendrik
  full_name: Rose, Hendrik
  id: '55958'
  last_name: Rose
  orcid: 0000-0002-3079-5428
- first_name: Polina R.
  full_name: Sharapova, Polina R.
  id: '60286'
  last_name: Sharapova
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: 'Rose H, Sharapova PR, Meier T. Microscopic simulations of the dynamics of
    excitonic many-body correlations coupled to quantum light. In: Betz M, Elezzabi
    AY, eds. <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>. SPIE; 2024. doi:<a
    href="https://doi.org/10.1117/12.2690245">10.1117/12.2690245</a>'
  apa: Rose, H., Sharapova, P. R., &#38; Meier, T. (2024). Microscopic simulations
    of the dynamics of excitonic many-body correlations coupled to quantum light.
    In M. Betz &#38; A. Y. Elezzabi (Eds.), <i>Ultrafast Phenomena and Nanophotonics
    XXVIII</i>. SPIE. <a href="https://doi.org/10.1117/12.2690245">https://doi.org/10.1117/12.2690245</a>
  bibtex: '@inproceedings{Rose_Sharapova_Meier_2024, title={Microscopic simulations
    of the dynamics of excitonic many-body correlations coupled to quantum light},
    DOI={<a href="https://doi.org/10.1117/12.2690245">10.1117/12.2690245</a>}, booktitle={Ultrafast
    Phenomena and Nanophotonics XXVIII}, publisher={SPIE}, author={Rose, Hendrik and
    Sharapova, Polina R. and Meier, Torsten}, editor={Betz, Markus and Elezzabi, Abdulhakem
    Y.}, year={2024} }'
  chicago: Rose, Hendrik, Polina R. Sharapova, and Torsten Meier. “Microscopic Simulations
    of the Dynamics of Excitonic Many-Body Correlations Coupled to Quantum Light.”
    In <i>Ultrafast Phenomena and Nanophotonics XXVIII</i>, edited by Markus Betz
    and Abdulhakem Y. Elezzabi. SPIE, 2024. <a href="https://doi.org/10.1117/12.2690245">https://doi.org/10.1117/12.2690245</a>.
  ieee: 'H. Rose, P. R. Sharapova, and T. Meier, “Microscopic simulations of the dynamics
    of excitonic many-body correlations coupled to quantum light,” in <i>Ultrafast
    Phenomena and Nanophotonics XXVIII</i>, 2024, doi: <a href="https://doi.org/10.1117/12.2690245">10.1117/12.2690245</a>.'
  mla: Rose, Hendrik, et al. “Microscopic Simulations of the Dynamics of Excitonic
    Many-Body Correlations Coupled to Quantum Light.” <i>Ultrafast Phenomena and Nanophotonics
    XXVIII</i>, edited by Markus Betz and Abdulhakem Y. Elezzabi, SPIE, 2024, doi:<a
    href="https://doi.org/10.1117/12.2690245">10.1117/12.2690245</a>.
  short: 'H. Rose, P.R. Sharapova, T. Meier, in: M. Betz, A.Y. Elezzabi (Eds.), Ultrafast
    Phenomena and Nanophotonics XXVIII, SPIE, 2024.'
date_created: 2024-07-15T10:26:04Z
date_updated: 2024-08-30T11:59:34Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '623'
doi: 10.1117/12.2690245
editor:
- first_name: Markus
  full_name: Betz, Markus
  last_name: Betz
- first_name: Abdulhakem Y.
  full_name: Elezzabi, Abdulhakem Y.
  last_name: Elezzabi
language:
- iso: eng
project:
- _id: '53'
  grant_number: '231447078'
  name: 'TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden
    Konzepten zu funktionellen Strukturen'
- _id: '54'
  name: 'TRR 142 - A: TRR 142 - Project Area A'
- _id: '59'
  grant_number: '231447078'
  name: 'TRR 142 - A02: TRR 142 - Nichtlineare Spektroskopie von Halbleiter-Nanostrukturen
    mit Quantenlicht (A02)'
publication: Ultrafast Phenomena and Nanophotonics XXVIII
publication_status: published
publisher: SPIE
status: public
title: Microscopic simulations of the dynamics of excitonic many-body correlations
  coupled to quantum light
type: conference
user_id: '16199'
year: '2024'
...
---
_id: '57410'
article_number: '195306'
author:
- first_name: J.
  full_name: Röder, J.
  last_name: Röder
- first_name: M.
  full_name: Gerhard, M.
  last_name: Gerhard
- first_name: C.
  full_name: Fuchs, C.
  last_name: Fuchs
- first_name: W.
  full_name: Stolz, W.
  last_name: Stolz
- first_name: W.
  full_name: Heimbrodt, W.
  last_name: Heimbrodt
- first_name: M.
  full_name: Koch, M.
  last_name: Koch
- first_name: C.
  full_name: Ngo, C.
  last_name: Ngo
- first_name: J. T.
  full_name: Steiner, J. T.
  last_name: Steiner
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: Röder J, Gerhard M, Fuchs C, et al. Charge transfer magnetoexcitons in magnetoabsorption
    spectra of asymmetric type-II double quantum wells. <i>Physical Review B</i>.
    2024;110(19). doi:<a href="https://doi.org/10.1103/physrevb.110.195306">10.1103/physrevb.110.195306</a>
  apa: Röder, J., Gerhard, M., Fuchs, C., Stolz, W., Heimbrodt, W., Koch, M., Ngo,
    C., Steiner, J. T., &#38; Meier, T. (2024). Charge transfer magnetoexcitons in
    magnetoabsorption spectra of asymmetric type-II double quantum wells. <i>Physical
    Review B</i>, <i>110</i>(19), Article 195306. <a href="https://doi.org/10.1103/physrevb.110.195306">https://doi.org/10.1103/physrevb.110.195306</a>
  bibtex: '@article{Röder_Gerhard_Fuchs_Stolz_Heimbrodt_Koch_Ngo_Steiner_Meier_2024,
    title={Charge transfer magnetoexcitons in magnetoabsorption spectra of asymmetric
    type-II double quantum wells}, volume={110}, DOI={<a href="https://doi.org/10.1103/physrevb.110.195306">10.1103/physrevb.110.195306</a>},
    number={19195306}, journal={Physical Review B}, publisher={American Physical Society
    (APS)}, author={Röder, J. and Gerhard, M. and Fuchs, C. and Stolz, W. and Heimbrodt,
    W. and Koch, M. and Ngo, C. and Steiner, J. T. and Meier, Torsten}, year={2024}
    }'
  chicago: Röder, J., M. Gerhard, C. Fuchs, W. Stolz, W. Heimbrodt, M. Koch, C. Ngo,
    J. T. Steiner, and Torsten Meier. “Charge Transfer Magnetoexcitons in Magnetoabsorption
    Spectra of Asymmetric Type-II Double Quantum Wells.” <i>Physical Review B</i>
    110, no. 19 (2024). <a href="https://doi.org/10.1103/physrevb.110.195306">https://doi.org/10.1103/physrevb.110.195306</a>.
  ieee: 'J. Röder <i>et al.</i>, “Charge transfer magnetoexcitons in magnetoabsorption
    spectra of asymmetric type-II double quantum wells,” <i>Physical Review B</i>,
    vol. 110, no. 19, Art. no. 195306, 2024, doi: <a href="https://doi.org/10.1103/physrevb.110.195306">10.1103/physrevb.110.195306</a>.'
  mla: Röder, J., et al. “Charge Transfer Magnetoexcitons in Magnetoabsorption Spectra
    of Asymmetric Type-II Double Quantum Wells.” <i>Physical Review B</i>, vol. 110,
    no. 19, 195306, American Physical Society (APS), 2024, doi:<a href="https://doi.org/10.1103/physrevb.110.195306">10.1103/physrevb.110.195306</a>.
  short: J. Röder, M. Gerhard, C. Fuchs, W. Stolz, W. Heimbrodt, M. Koch, C. Ngo,
    J.T. Steiner, T. Meier, Physical Review B 110 (2024).
date_created: 2024-11-26T06:46:51Z
date_updated: 2024-11-26T06:50:45Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '429'
doi: 10.1103/physrevb.110.195306
intvolume: '       110'
issue: '19'
language:
- iso: eng
project:
- _id: '53'
  grant_number: '231447078'
  name: 'TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden
    Konzepten zu funktionellen Strukturen'
- _id: '165'
  grant_number: '231447078'
  name: 'TRR 142 - A10: TRR 142 - Nichtlinearitäten von atomar dünnen Übergangsmetall-Dichalkogeniden
    in starken Feldern (A10)'
- _id: '54'
  name: 'TRR 142 - A: TRR 142 - Project Area A'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Physical Review B
publication_identifier:
  issn:
  - 2469-9950
  - 2469-9969
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Charge transfer magnetoexcitons in magnetoabsorption spectra of asymmetric
  type-II double quantum wells
type: journal_article
user_id: '16199'
volume: 110
year: '2024'
...
---
_id: '57839'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n               <jats:p>Experiments with
    ultracold atoms in optical lattices usually involve a weak parabolic trapping
    potential which merely serves to confine the atoms, but otherwise remains negligible.
    In contrast, we suggest a different class of experiments in which the presence
    of a stronger trap is an essential part of the set-up. Because the trap-modified
    on-site energies exhibit a slowly varying level spacing, similar to that of an
    anharmonic oscillator, an additional time-periodic trap modulation with judiciously
    chosen parameters creates nonlinear resonances which enable efficient Floquet
    engineering. We employ a Mathieu approximation for constructing the near-resonant
    Floquet states in an accurate manner and demonstrate the emergence of effective
    ground states from the resonant trap eigenstates. Moreover, we show that the population
    of the Floquet states is strongly affected by the phase of a sudden turn-on of
    the trap modulation, which leads to significantly modified and rich dynamics.
    As a guideline for further studies, we argue that the deliberate population of
    only the resonance-induced effective ground states will allow one to realize Floquet
    condensates which follow classical periodic orbits, thus providing challenging
    future perspectives for the investigation of the quantum–classical correspondence.</jats:p>"
article_number: '123016'
author:
- first_name: Usman
  full_name: Ali, Usman
  last_name: Ali
- first_name: Martin
  full_name: Holthaus, Martin
  last_name: Holthaus
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: Ali U, Holthaus M, Meier T. Floquet dynamics of ultracold atoms in optical
    lattices with a parametrically modulated trapping potential. <i>New Journal of
    Physics</i>. 2024;26(12). doi:<a href="https://doi.org/10.1088/1367-2630/ad9b47">10.1088/1367-2630/ad9b47</a>
  apa: Ali, U., Holthaus, M., &#38; Meier, T. (2024). Floquet dynamics of ultracold
    atoms in optical lattices with a parametrically modulated trapping potential.
    <i>New Journal of Physics</i>, <i>26</i>(12), Article 123016. <a href="https://doi.org/10.1088/1367-2630/ad9b47">https://doi.org/10.1088/1367-2630/ad9b47</a>
  bibtex: '@article{Ali_Holthaus_Meier_2024, title={Floquet dynamics of ultracold
    atoms in optical lattices with a parametrically modulated trapping potential},
    volume={26}, DOI={<a href="https://doi.org/10.1088/1367-2630/ad9b47">10.1088/1367-2630/ad9b47</a>},
    number={12123016}, journal={New Journal of Physics}, publisher={IOP Publishing},
    author={Ali, Usman and Holthaus, Martin and Meier, Torsten}, year={2024} }'
  chicago: Ali, Usman, Martin Holthaus, and Torsten Meier. “Floquet Dynamics of Ultracold
    Atoms in Optical Lattices with a Parametrically Modulated Trapping Potential.”
    <i>New Journal of Physics</i> 26, no. 12 (2024). <a href="https://doi.org/10.1088/1367-2630/ad9b47">https://doi.org/10.1088/1367-2630/ad9b47</a>.
  ieee: 'U. Ali, M. Holthaus, and T. Meier, “Floquet dynamics of ultracold atoms in
    optical lattices with a parametrically modulated trapping potential,” <i>New Journal
    of Physics</i>, vol. 26, no. 12, Art. no. 123016, 2024, doi: <a href="https://doi.org/10.1088/1367-2630/ad9b47">10.1088/1367-2630/ad9b47</a>.'
  mla: Ali, Usman, et al. “Floquet Dynamics of Ultracold Atoms in Optical Lattices
    with a Parametrically Modulated Trapping Potential.” <i>New Journal of Physics</i>,
    vol. 26, no. 12, 123016, IOP Publishing, 2024, doi:<a href="https://doi.org/10.1088/1367-2630/ad9b47">10.1088/1367-2630/ad9b47</a>.
  short: U. Ali, M. Holthaus, T. Meier, New Journal of Physics 26 (2024).
date_created: 2024-12-18T13:59:34Z
date_updated: 2024-12-18T14:00:41Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '27'
doi: 10.1088/1367-2630/ad9b47
intvolume: '        26'
issue: '12'
language:
- iso: eng
project:
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: New Journal of Physics
publication_identifier:
  issn:
  - 1367-2630
publication_status: published
publisher: IOP Publishing
status: public
title: Floquet dynamics of ultracold atoms in optical lattices with a parametrically
  modulated trapping potential
type: journal_article
user_id: '16199'
volume: 26
year: '2024'
...
---
_id: '62916'
author:
- first_name: Hongdan
  full_name: Zhang, Hongdan
  last_name: Zhang
- first_name: Ruixin
  full_name: Zuo, Ruixin
  last_name: Zuo
- first_name: Shidong
  full_name: Yang, Shidong
  last_name: Yang
- first_name: Alexander
  full_name: Trautmann, Alexander
  last_name: Trautmann
- first_name: Xiaohong
  full_name: Song, Xiaohong
  last_name: Song
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Weifeng
  full_name: Yang, Weifeng
  last_name: Yang
citation:
  ama: 'Zhang H, Zuo R, Yang S, et al. Analyzing High-Order Harmonic Generation in
    Solids Based on Semi-Classical Recollision Models. In: <i>High-Order Harmonic
    Generation in Solids</i>. WORLD SCIENTIFIC; 2024. doi:<a href="https://doi.org/10.1142/9789811279560_0006">10.1142/9789811279560_0006</a>'
  apa: Zhang, H., Zuo, R., Yang, S., Trautmann, A., Song, X., Meier, T., &#38; Yang,
    W. (2024). Analyzing High-Order Harmonic Generation in Solids Based on Semi-Classical
    Recollision Models. In <i>High-Order Harmonic Generation in Solids</i>. WORLD
    SCIENTIFIC. <a href="https://doi.org/10.1142/9789811279560_0006">https://doi.org/10.1142/9789811279560_0006</a>
  bibtex: '@inbook{Zhang_Zuo_Yang_Trautmann_Song_Meier_Yang_2024, title={Analyzing
    High-Order Harmonic Generation in Solids Based on Semi-Classical Recollision Models},
    DOI={<a href="https://doi.org/10.1142/9789811279560_0006">10.1142/9789811279560_0006</a>},
    booktitle={High-Order Harmonic Generation in Solids}, publisher={WORLD SCIENTIFIC},
    author={Zhang, Hongdan and Zuo, Ruixin and Yang, Shidong and Trautmann, Alexander
    and Song, Xiaohong and Meier, Torsten and Yang, Weifeng}, year={2024} }'
  chicago: Zhang, Hongdan, Ruixin Zuo, Shidong Yang, Alexander Trautmann, Xiaohong
    Song, Torsten Meier, and Weifeng Yang. “Analyzing High-Order Harmonic Generation
    in Solids Based on Semi-Classical Recollision Models.” In <i>High-Order Harmonic
    Generation in Solids</i>. WORLD SCIENTIFIC, 2024. <a href="https://doi.org/10.1142/9789811279560_0006">https://doi.org/10.1142/9789811279560_0006</a>.
  ieee: H. Zhang <i>et al.</i>, “Analyzing High-Order Harmonic Generation in Solids
    Based on Semi-Classical Recollision Models,” in <i>High-Order Harmonic Generation
    in Solids</i>, WORLD SCIENTIFIC, 2024.
  mla: Zhang, Hongdan, et al. “Analyzing High-Order Harmonic Generation in Solids
    Based on Semi-Classical Recollision Models.” <i>High-Order Harmonic Generation
    in Solids</i>, WORLD SCIENTIFIC, 2024, doi:<a href="https://doi.org/10.1142/9789811279560_0006">10.1142/9789811279560_0006</a>.
  short: 'H. Zhang, R. Zuo, S. Yang, A. Trautmann, X. Song, T. Meier, W. Yang, in:
    High-Order Harmonic Generation in Solids, WORLD SCIENTIFIC, 2024.'
date_created: 2025-12-05T09:42:23Z
date_updated: 2025-12-05T09:43:37Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
- _id: '35'
- _id: '429'
- _id: '27'
doi: 10.1142/9789811279560_0006
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: High-Order Harmonic Generation in Solids
publication_identifier:
  isbn:
  - '9789811279553'
  - '9789811279560'
publication_status: published
publisher: WORLD SCIENTIFIC
status: public
title: Analyzing High-Order Harmonic Generation in Solids Based on Semi-Classical
  Recollision Models
type: book_chapter
user_id: '16199'
year: '2024'
...
---
_id: '62917'
author:
- first_name: Matthias
  full_name: Reichelt, Matthias
  id: '138'
  last_name: Reichelt
- first_name: Ruixin
  full_name: Zuo, Ruixin
  last_name: Zuo
- first_name: Xiaohong
  full_name: Song, Xiaohong
  last_name: Song
- first_name: Weifeng
  full_name: Yang, Weifeng
  last_name: Yang
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: 'Reichelt M, Zuo R, Song X, Yang W, Meier T. High-Order Harmonic Generation
    in Semiconductors with Excitonic Effects. In: <i>High-Order Harmonic Generation
    in Solids</i>. WORLD SCIENTIFIC; 2024. doi:<a href="https://doi.org/10.1142/9789811279560_0009">10.1142/9789811279560_0009</a>'
  apa: Reichelt, M., Zuo, R., Song, X., Yang, W., &#38; Meier, T. (2024). High-Order
    Harmonic Generation in Semiconductors with Excitonic Effects. In <i>High-Order
    Harmonic Generation in Solids</i>. WORLD SCIENTIFIC. <a href="https://doi.org/10.1142/9789811279560_0009">https://doi.org/10.1142/9789811279560_0009</a>
  bibtex: '@inbook{Reichelt_Zuo_Song_Yang_Meier_2024, title={High-Order Harmonic Generation
    in Semiconductors with Excitonic Effects}, DOI={<a href="https://doi.org/10.1142/9789811279560_0009">10.1142/9789811279560_0009</a>},
    booktitle={High-Order Harmonic Generation in Solids}, publisher={WORLD SCIENTIFIC},
    author={Reichelt, Matthias and Zuo, Ruixin and Song, Xiaohong and Yang, Weifeng
    and Meier, Torsten}, year={2024} }'
  chicago: Reichelt, Matthias, Ruixin Zuo, Xiaohong Song, Weifeng Yang, and Torsten
    Meier. “High-Order Harmonic Generation in Semiconductors with Excitonic Effects.”
    In <i>High-Order Harmonic Generation in Solids</i>. WORLD SCIENTIFIC, 2024. <a
    href="https://doi.org/10.1142/9789811279560_0009">https://doi.org/10.1142/9789811279560_0009</a>.
  ieee: M. Reichelt, R. Zuo, X. Song, W. Yang, and T. Meier, “High-Order Harmonic
    Generation in Semiconductors with Excitonic Effects,” in <i>High-Order Harmonic
    Generation in Solids</i>, WORLD SCIENTIFIC, 2024.
  mla: Reichelt, Matthias, et al. “High-Order Harmonic Generation in Semiconductors
    with Excitonic Effects.” <i>High-Order Harmonic Generation in Solids</i>, WORLD
    SCIENTIFIC, 2024, doi:<a href="https://doi.org/10.1142/9789811279560_0009">10.1142/9789811279560_0009</a>.
  short: 'M. Reichelt, R. Zuo, X. Song, W. Yang, T. Meier, in: High-Order Harmonic
    Generation in Solids, WORLD SCIENTIFIC, 2024.'
date_created: 2025-12-05T09:44:20Z
date_updated: 2025-12-05T09:45:31Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '27'
doi: 10.1142/9789811279560_0009
language:
- iso: eng
project:
- _id: '53'
  name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
    zu funktionellen Strukturen'
- _id: '56'
  name: TRR 142 - Project Area C
- _id: '174'
  name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
    Systemen: Eine theoretische Analyse'
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: High-Order Harmonic Generation in Solids
publication_identifier:
  isbn:
  - '9789811279553'
  - '9789811279560'
publication_status: published
publisher: WORLD SCIENTIFIC
status: public
title: High-Order Harmonic Generation in Semiconductors with Excitonic Effects
type: book_chapter
user_id: '16199'
year: '2024'
...
---
_id: '62915'
author:
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Usman
  full_name: Ali, Usman
  last_name: Ali
- first_name: Martin
  full_name: Holthaus, Martin
  last_name: Holthaus
citation:
  ama: Meier T, Ali U, Holthaus M. <i>Floquet Dynamics of Ultracold Atoms in Optical
    Lattices with a Parametrically Modulated Trapping Potential</i>. LibreCat University;
    2024. doi:<a href="https://doi.org/10.5281/ZENODO.11935146">10.5281/ZENODO.11935146</a>
  apa: Meier, T., Ali, U., &#38; Holthaus, M. (2024). <i>Floquet dynamics of ultracold
    atoms in optical lattices with a parametrically modulated trapping potential</i>.
    LibreCat University. <a href="https://doi.org/10.5281/ZENODO.11935146">https://doi.org/10.5281/ZENODO.11935146</a>
  bibtex: '@book{Meier_Ali_Holthaus_2024, title={Floquet dynamics of ultracold atoms
    in optical lattices with a parametrically modulated trapping potential}, DOI={<a
    href="https://doi.org/10.5281/ZENODO.11935146">10.5281/ZENODO.11935146</a>}, publisher={LibreCat
    University}, author={Meier, Torsten and Ali, Usman and Holthaus, Martin}, year={2024}
    }'
  chicago: Meier, Torsten, Usman Ali, and Martin Holthaus. <i>Floquet Dynamics of
    Ultracold Atoms in Optical Lattices with a Parametrically Modulated Trapping Potential</i>.
    LibreCat University, 2024. <a href="https://doi.org/10.5281/ZENODO.11935146">https://doi.org/10.5281/ZENODO.11935146</a>.
  ieee: T. Meier, U. Ali, and M. Holthaus, <i>Floquet dynamics of ultracold atoms
    in optical lattices with a parametrically modulated trapping potential</i>. LibreCat
    University, 2024.
  mla: Meier, Torsten, et al. <i>Floquet Dynamics of Ultracold Atoms in Optical Lattices
    with a Parametrically Modulated Trapping Potential</i>. LibreCat University, 2024,
    doi:<a href="https://doi.org/10.5281/ZENODO.11935146">10.5281/ZENODO.11935146</a>.
  short: T. Meier, U. Ali, M. Holthaus, Floquet Dynamics of Ultracold Atoms in Optical
    Lattices with a Parametrically Modulated Trapping Potential, LibreCat University,
    2024.
date_created: 2025-12-05T09:41:14Z
date_updated: 2025-12-05T09:42:11Z
department:
- _id: '15'
- _id: '170'
- _id: '293'
- _id: '230'
- _id: '35'
- _id: '27'
doi: 10.5281/ZENODO.11935146
project:
- _id: '52'
  name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publisher: LibreCat University
status: public
title: Floquet dynamics of ultracold atoms in optical lattices with a parametrically
  modulated trapping potential
type: research_data
user_id: '16199'
year: '2024'
...
---
_id: '48502'
abstract:
- lang: eng
  text: The prediction of photon echoes is an important technique for gaining an understanding
    of optical quantum systems. However, this requires a large number of simulations
    with varying parameters and/or input pulses, which renders numerical studies expensive.
    This article investigates how we can use data-driven surrogate models based on
    the Koopman operator to accelerate this process. In order to be successful, we
    require a model that is accurate over a large number of time steps. To this end,
    we employ a bilinear Koopman model using extended dynamic mode decomposition and
    simulate the optical Bloch equations for an ensemble of inhomogeneously broadened
    two-level systems. Such systems are well suited to describe the excitation of
    excitonic resonances in semiconductor nanostructures, for example, ensembles of
    semiconductor quantum dots. We perform a detailed study on the required number
    of system simulations such that the resulting data-driven Koopman model is sufficiently
    accurate for a wide range of parameter settings. We analyze the L2 error and the
    relative error of the photon echo peak and investigate how the control positions
    relate to the stabilization. After proper training, the dynamics of the quantum
    ensemble can be predicted accurately and numerically very efficiently by our methods.
author:
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
- first_name: Anna
  full_name: Hunstig, Anna
  last_name: Hunstig
- first_name: Hendrik
  full_name: Rose, Hendrik
  id: '55958'
  last_name: Rose
  orcid: 0000-0002-3079-5428
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
citation:
  ama: Peitz S, Hunstig A, Rose H, Meier T. Accelerating the analysis of optical quantum
    systems using the Koopman operator. Published online 2023.
  apa: Peitz, S., Hunstig, A., Rose, H., &#38; Meier, T. (2023). <i>Accelerating the
    analysis of optical quantum systems using the Koopman operator</i>.
  bibtex: '@article{Peitz_Hunstig_Rose_Meier_2023, title={Accelerating the analysis
    of optical quantum systems using the Koopman operator}, author={Peitz, Sebastian
    and Hunstig, Anna and Rose, Hendrik and Meier, Torsten}, year={2023} }'
  chicago: Peitz, Sebastian, Anna Hunstig, Hendrik Rose, and Torsten Meier. “Accelerating
    the Analysis of Optical Quantum Systems Using the Koopman Operator,” 2023.
  ieee: S. Peitz, A. Hunstig, H. Rose, and T. Meier, “Accelerating the analysis of
    optical quantum systems using the Koopman operator.” 2023.
  mla: Peitz, Sebastian, et al. <i>Accelerating the Analysis of Optical Quantum Systems
    Using the Koopman Operator</i>. 2023.
  short: S. Peitz, A. Hunstig, H. Rose, T. Meier, (2023).
date_created: 2023-10-27T09:40:59Z
date_updated: 2023-10-27T10:05:07Z
department:
- _id: '655'
- _id: '623'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/pdf/2310.16578.pdf
oa: '1'
status: public
title: Accelerating the analysis of optical quantum systems using the Koopman operator
type: preprint
user_id: '47427'
year: '2023'
...
