---
_id: '63744'
abstract:
- lang: eng
  text: Orbital angular momentum (OAM) modes are an important resource used in various
    branches of quantum science and technology due to their unique helical structure
    and countably infinite basis. Generating light that simultaneously carries high-order
    orbital angular momenta and exhibits quantum correlations is a challenging task.
    In this work, we present a theoretical approach to the generation of correlated
    Schmidt modes carrying OAM via parametric down-conversion (PDC) in cascaded nonlinear
    systems (nonlinear interferometers) pumped by Laguerre–Gaussian beams. We demonstrate
    how the number of generated modes and their population can be controlled by varying
    the pump parameters, the gain of the PDC process, and the distance between the
    crystals. We investigate the angular displacement measurement uncertainty of these
    interferometers and demonstrate that it can overcome the classical shot noise
    limit.
article_number: '016112'
article_type: original
author:
- first_name: Dennis
  full_name: Scharwald, Dennis
  id: '55907'
  last_name: Scharwald
  orcid: 0009-0007-5654-5412
- first_name: Lucas
  full_name: Gehse, Lucas
  last_name: Gehse
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
citation:
  ama: Scharwald D, Gehse L, Sharapova P. Schmidt modes carrying orbital angular momentum
    generated by cascaded systems pumped with Laguerre–Gaussian beams. <i>APL Photonics</i>.
    2025;10(1). doi:<a href="https://doi.org/10.1063/5.0229802">10.1063/5.0229802</a>
  apa: Scharwald, D., Gehse, L., &#38; Sharapova, P. (2025). Schmidt modes carrying
    orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian
    beams. <i>APL Photonics</i>, <i>10</i>(1), Article 016112. <a href="https://doi.org/10.1063/5.0229802">https://doi.org/10.1063/5.0229802</a>
  bibtex: '@article{Scharwald_Gehse_Sharapova_2025, title={Schmidt modes carrying
    orbital angular momentum generated by cascaded systems pumped with Laguerre–Gaussian
    beams}, volume={10}, DOI={<a href="https://doi.org/10.1063/5.0229802">10.1063/5.0229802</a>},
    number={1016112}, journal={APL Photonics}, publisher={AIP Publishing}, author={Scharwald,
    Dennis and Gehse, Lucas and Sharapova, Polina}, year={2025} }'
  chicago: Scharwald, Dennis, Lucas Gehse, and Polina Sharapova. “Schmidt Modes Carrying
    Orbital Angular Momentum Generated by Cascaded Systems Pumped with Laguerre–Gaussian
    Beams.” <i>APL Photonics</i> 10, no. 1 (2025). <a href="https://doi.org/10.1063/5.0229802">https://doi.org/10.1063/5.0229802</a>.
  ieee: 'D. Scharwald, L. Gehse, and P. Sharapova, “Schmidt modes carrying orbital
    angular momentum generated by cascaded systems pumped with Laguerre–Gaussian beams,”
    <i>APL Photonics</i>, vol. 10, no. 1, Art. no. 016112, 2025, doi: <a href="https://doi.org/10.1063/5.0229802">10.1063/5.0229802</a>.'
  mla: Scharwald, Dennis, et al. “Schmidt Modes Carrying Orbital Angular Momentum
    Generated by Cascaded Systems Pumped with Laguerre–Gaussian Beams.” <i>APL Photonics</i>,
    vol. 10, no. 1, 016112, AIP Publishing, 2025, doi:<a href="https://doi.org/10.1063/5.0229802">10.1063/5.0229802</a>.
  short: D. Scharwald, L. Gehse, P. Sharapova, APL Photonics 10 (2025).
date_created: 2026-01-26T15:48:54Z
date_updated: 2026-02-01T13:19:20Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '35'
- _id: '429'
doi: 10.1063/5.0229802
intvolume: '        10'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://pubs.aip.org/aip/app/article-pdf/doi/10.1063/5.0229802/20352749/016112_1_5.0229802.pdf
oa: '1'
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: APL Photonics
publication_identifier:
  issn:
  - 2378-0967
publication_status: published
publisher: AIP Publishing
status: public
title: Schmidt modes carrying orbital angular momentum generated by cascaded systems
  pumped with Laguerre–Gaussian beams
type: journal_article
user_id: '55907'
volume: 10
year: '2025'
...
---
_id: '63745'
abstract:
- lang: eng
  text: Multimode squeezed light is an increasingly popular tool in photonic quantum
    technologies, including sensing, imaging, and computation. Meanwhile, the existing
    methods of its characterization are technically complicated, which reduces the
    level of squeezing, and mostly deal with a single mode at a time. Here, for the
    first time, to the best of our knowledge, we employ optical parametric amplification
    to characterize multiple squeezing eigenmodes simultaneously. We retrieve the
    shapes and squeezing degrees of all modes at once through direct detection followed
    by modal decomposition. This method is tolerant to inefficient detection and does
    not require a local oscillator. For a spectrally and spatially multimode squeezed
    vacuum, we characterize eight strongest spatial modes, obtaining squeezing and
    anti-squeezing values of up to −5.2 ± 0.2 dB and 8.6 ± 0.3 dB, respectively, despite
    the 50% detection loss. This work, being the first exploration of an optical parametric
    amplifier’s multimode capability for squeezing detection, paves the way for the
    real-time detection of multimode squeezing.
article_number: '36'
article_type: original
author:
- first_name: Ismail
  full_name: Barakat, Ismail
  last_name: Barakat
- first_name: Mahmoud
  full_name: Kalash, Mahmoud
  last_name: Kalash
- first_name: Dennis
  full_name: Scharwald, Dennis
  id: '55907'
  last_name: Scharwald
  orcid: 0009-0007-5654-5412
- first_name: Polina
  full_name: Sharapova, Polina
  id: '60286'
  last_name: Sharapova
- first_name: Norbert
  full_name: Lindlein, Norbert
  last_name: Lindlein
- first_name: Maria
  full_name: Chekhova, Maria
  last_name: Chekhova
citation:
  ama: Barakat I, Kalash M, Scharwald D, Sharapova P, Lindlein N, Chekhova M. Simultaneous
    measurement of multimode squeezing through multimode phase-sensitive amplification.
    <i>Optica Quantum</i>. 2025;3(1). doi:<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>
  apa: Barakat, I., Kalash, M., Scharwald, D., Sharapova, P., Lindlein, N., &#38;
    Chekhova, M. (2025). Simultaneous measurement of multimode squeezing through multimode
    phase-sensitive amplification. <i>Optica Quantum</i>, <i>3</i>(1), Article 36.
    <a href="https://doi.org/10.1364/opticaq.524682">https://doi.org/10.1364/opticaq.524682</a>
  bibtex: '@article{Barakat_Kalash_Scharwald_Sharapova_Lindlein_Chekhova_2025, title={Simultaneous
    measurement of multimode squeezing through multimode phase-sensitive amplification},
    volume={3}, DOI={<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>},
    number={136}, journal={Optica Quantum}, publisher={Optica Publishing Group}, author={Barakat,
    Ismail and Kalash, Mahmoud and Scharwald, Dennis and Sharapova, Polina and Lindlein,
    Norbert and Chekhova, Maria}, year={2025} }'
  chicago: Barakat, Ismail, Mahmoud Kalash, Dennis Scharwald, Polina Sharapova, Norbert
    Lindlein, and Maria Chekhova. “Simultaneous Measurement of Multimode Squeezing
    through Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i> 3, no.
    1 (2025). <a href="https://doi.org/10.1364/opticaq.524682">https://doi.org/10.1364/opticaq.524682</a>.
  ieee: 'I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, and M. Chekhova,
    “Simultaneous measurement of multimode squeezing through multimode phase-sensitive
    amplification,” <i>Optica Quantum</i>, vol. 3, no. 1, Art. no. 36, 2025, doi:
    <a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>.'
  mla: Barakat, Ismail, et al. “Simultaneous Measurement of Multimode Squeezing through
    Multimode Phase-Sensitive Amplification.” <i>Optica Quantum</i>, vol. 3, no. 1,
    36, Optica Publishing Group, 2025, doi:<a href="https://doi.org/10.1364/opticaq.524682">10.1364/opticaq.524682</a>.
  short: I. Barakat, M. Kalash, D. Scharwald, P. Sharapova, N. Lindlein, M. Chekhova,
    Optica Quantum 3 (2025).
date_created: 2026-01-26T15:57:13Z
date_updated: 2026-02-10T22:44:44Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '35'
- _id: '429'
doi: 10.1364/opticaq.524682
intvolume: '         3'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://opg.optica.org/opticaq/viewmedia.cfm?uri=opticaq-3-1-36&seq=0
oa: '1'
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: Optica Quantum
publication_identifier:
  issn:
  - 2837-6714
publication_status: published
publisher: Optica Publishing Group
status: public
title: Simultaneous measurement of multimode squeezing through multimode phase-sensitive
  amplification
type: journal_article
user_id: '55907'
volume: 3
year: '2025'
...
---
_id: '55900'
article_number: '043158'
author:
- first_name: Dennis
  full_name: Scharwald, Dennis
  id: '55907'
  last_name: Scharwald
  orcid: 0009-0007-5654-5412
- first_name: Torsten
  full_name: Meier, Torsten
  id: '344'
  last_name: Meier
  orcid: 0000-0001-8864-2072
- first_name: Polina
  full_name: Sharapova, Polina
  last_name: Sharapova
citation:
  ama: Scharwald D, Meier T, Sharapova P. Phase sensitivity of spatially broadband
    high-gain SU(1,1) interferometers. <i>Physical Review Research</i>. 2023;5(4).
    doi:<a href="https://doi.org/10.1103/physrevresearch.5.043158">10.1103/physrevresearch.5.043158</a>
  apa: Scharwald, D., Meier, T., &#38; Sharapova, P. (2023). Phase sensitivity of
    spatially broadband high-gain SU(1,1) interferometers. <i>Physical Review Research</i>,
    <i>5</i>(4), Article 043158. <a href="https://doi.org/10.1103/physrevresearch.5.043158">https://doi.org/10.1103/physrevresearch.5.043158</a>
  bibtex: '@article{Scharwald_Meier_Sharapova_2023, title={Phase sensitivity of spatially
    broadband high-gain SU(1,1) interferometers}, volume={5}, DOI={<a href="https://doi.org/10.1103/physrevresearch.5.043158">10.1103/physrevresearch.5.043158</a>},
    number={4043158}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Scharwald, Dennis and Meier, Torsten and Sharapova, Polina},
    year={2023} }'
  chicago: Scharwald, Dennis, Torsten Meier, and Polina Sharapova. “Phase Sensitivity
    of Spatially Broadband High-Gain SU(1,1) Interferometers.” <i>Physical Review
    Research</i> 5, no. 4 (2023). <a href="https://doi.org/10.1103/physrevresearch.5.043158">https://doi.org/10.1103/physrevresearch.5.043158</a>.
  ieee: 'D. Scharwald, T. Meier, and P. Sharapova, “Phase sensitivity of spatially
    broadband high-gain SU(1,1) interferometers,” <i>Physical Review Research</i>,
    vol. 5, no. 4, Art. no. 043158, 2023, doi: <a href="https://doi.org/10.1103/physrevresearch.5.043158">10.1103/physrevresearch.5.043158</a>.'
  mla: Scharwald, Dennis, et al. “Phase Sensitivity of Spatially Broadband High-Gain
    SU(1,1) Interferometers.” <i>Physical Review Research</i>, vol. 5, no. 4, 043158,
    American Physical Society (APS), 2023, doi:<a href="https://doi.org/10.1103/physrevresearch.5.043158">10.1103/physrevresearch.5.043158</a>.
  short: D. Scharwald, T. Meier, P. Sharapova, Physical Review Research 5 (2023).
date_created: 2024-08-30T04:48:05Z
date_updated: 2026-02-01T13:21:22Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '623'
- _id: '27'
doi: 10.1103/physrevresearch.5.043158
intvolume: '         5'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://journals.aps.org/prresearch/pdf/10.1103/PhysRevResearch.5.043158
oa: '1'
project:
- _id: '53'
  name: 'TRR 142: TRR 142 - Maßgeschneiderte nichtlineare Photonik: Von grundlegenden
    Konzepten zu funktionellen Strukturen'
- _id: '56'
  name: 'TRR 142 - C: TRR 142 - Project Area C'
- _id: '174'
  name: 'TRR 142 - C10: TRR 142 -  Erzeugung und Charakterisierung von Quantenlicht
    in nichtlinearen Systemen: Eine theoretische Analyse (C10*)'
- _id: '52'
  name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Phase sensitivity of spatially broadband high-gain SU(1,1) interferometers
type: journal_article
user_id: '55907'
volume: 5
year: '2023'
...
