---
_id: '66414'
author:
- first_name: Lorenzo Manuel
  full_name: Procopio Peña, Lorenzo Manuel
  id: '105816'
  last_name: Procopio Peña
- first_name: Raul
  full_name: Aguero-Santacruz, Raul
  last_name: Aguero-Santacruz
- first_name: David
  full_name: Bermudez, David
  last_name: Bermudez
- first_name: Ulf
  full_name: Leonhardt, Ulf
  last_name: Leonhardt
citation:
  ama: Procopio Peña LM, Aguero-Santacruz R, Bermudez D, Leonhardt U. Backreaction
    of stimulated Hawking radiation in an optical analogue. <i>Nature</i>. 2026;655(8122):336-341.
    doi:<a href="https://doi.org/10.1038/s41586-026-10720-3">10.1038/s41586-026-10720-3</a>
  apa: Procopio Peña, L. M., Aguero-Santacruz, R., Bermudez, D., &#38; Leonhardt,
    U. (2026). Backreaction of stimulated Hawking radiation in an optical analogue.
    <i>Nature</i>, <i>655</i>(8122), 336–341. <a href="https://doi.org/10.1038/s41586-026-10720-3">https://doi.org/10.1038/s41586-026-10720-3</a>
  bibtex: '@article{Procopio Peña_Aguero-Santacruz_Bermudez_Leonhardt_2026, title={Backreaction
    of stimulated Hawking radiation in an optical analogue}, volume={655}, DOI={<a
    href="https://doi.org/10.1038/s41586-026-10720-3">10.1038/s41586-026-10720-3</a>},
    number={8122}, journal={Nature}, publisher={Springer Science and Business Media
    LLC}, author={Procopio Peña, Lorenzo Manuel and Aguero-Santacruz, Raul and Bermudez,
    David and Leonhardt, Ulf}, year={2026}, pages={336–341} }'
  chicago: 'Procopio Peña, Lorenzo Manuel, Raul Aguero-Santacruz, David Bermudez,
    and Ulf Leonhardt. “Backreaction of Stimulated Hawking Radiation in an Optical
    Analogue.” <i>Nature</i> 655, no. 8122 (2026): 336–41. <a href="https://doi.org/10.1038/s41586-026-10720-3">https://doi.org/10.1038/s41586-026-10720-3</a>.'
  ieee: 'L. M. Procopio Peña, R. Aguero-Santacruz, D. Bermudez, and U. Leonhardt,
    “Backreaction of stimulated Hawking radiation in an optical analogue,” <i>Nature</i>,
    vol. 655, no. 8122, pp. 336–341, 2026, doi: <a href="https://doi.org/10.1038/s41586-026-10720-3">10.1038/s41586-026-10720-3</a>.'
  mla: Procopio Peña, Lorenzo Manuel, et al. “Backreaction of Stimulated Hawking Radiation
    in an Optical Analogue.” <i>Nature</i>, vol. 655, no. 8122, Springer Science and
    Business Media LLC, 2026, pp. 336–41, doi:<a href="https://doi.org/10.1038/s41586-026-10720-3">10.1038/s41586-026-10720-3</a>.
  short: L.M. Procopio Peña, R. Aguero-Santacruz, D. Bermudez, U. Leonhardt, Nature
    655 (2026) 336–341.
date_created: 2026-07-09T07:30:44Z
date_updated: 2026-07-09T07:31:49Z
doi: 10.1038/s41586-026-10720-3
intvolume: '       655'
issue: '8122'
language:
- iso: eng
page: 336-341
publication: Nature
publication_identifier:
  issn:
  - 0028-0836
  - 1476-4687
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Backreaction of stimulated Hawking radiation in an optical analogue
type: journal_article
user_id: '105816'
volume: 655
year: '2026'
...
---
_id: '66075'
abstract:
- lang: eng
  text: <jats:p>Indefinite causal order (ICO) has the potential to be a new resource
    for quantum information processing. In most of its experiments, ICO has been investigated
    in a photonic platform. Here, we investigate ICO in a cavity quantum electrodynamics
    system composed of two cavities. Our results show that ICO can create highly entangled
    states of two distant cavity fields that never interact directly independent of
    the initial (excited or ground) state of the atom. These entangled states can
    have the form of one- or two-photon NOON states. We show that ICO can interchange
    one photon between both cavities without changing the state of the atom, something
    that is impossible to achieve for two cavities in well-defined order. Furthermore,
    the vacuum Rabi oscillations either disappear or lose their sinusoidal form with
    ICO. Our results show the potential that ICO can offer in the paradigm of light-matter
    interaction for coherently controlling atom-field observables.</jats:p>
article_number: '023295'
article_type: original
author:
- first_name: Luis Octavio
  full_name: Castaños-Cervantes, Luis Octavio
  last_name: Castaños-Cervantes
- first_name: Lorenzo Manuel
  full_name: Procopio Peña, Lorenzo Manuel
  id: '105816'
  last_name: Procopio Peña
- first_name: Tim J.
  full_name: Bartley, Tim J.
  last_name: Bartley
citation:
  ama: Castaños-Cervantes LO, Procopio Peña LM, Bartley TJ. Indefinite causal order
    in cavity quantum electrodynamics. <i>Physical Review Research</i>. 2026;8(2).
    doi:<a href="https://doi.org/10.1103/wgr6-1g5m">10.1103/wgr6-1g5m</a>
  apa: Castaños-Cervantes, L. O., Procopio Peña, L. M., &#38; Bartley, T. J. (2026).
    Indefinite causal order in cavity quantum electrodynamics. <i>Physical Review
    Research</i>, <i>8</i>(2), Article 023295. <a href="https://doi.org/10.1103/wgr6-1g5m">https://doi.org/10.1103/wgr6-1g5m</a>
  bibtex: '@article{Castaños-Cervantes_Procopio Peña_Bartley_2026, title={Indefinite
    causal order in cavity quantum electrodynamics}, volume={8}, DOI={<a href="https://doi.org/10.1103/wgr6-1g5m">10.1103/wgr6-1g5m</a>},
    number={2023295}, journal={Physical Review Research}, publisher={American Physical
    Society (APS)}, author={Castaños-Cervantes, Luis Octavio and Procopio Peña, Lorenzo
    Manuel and Bartley, Tim J.}, year={2026} }'
  chicago: Castaños-Cervantes, Luis Octavio, Lorenzo Manuel Procopio Peña, and Tim
    J. Bartley. “Indefinite Causal Order in Cavity Quantum Electrodynamics.” <i>Physical
    Review Research</i> 8, no. 2 (2026). <a href="https://doi.org/10.1103/wgr6-1g5m">https://doi.org/10.1103/wgr6-1g5m</a>.
  ieee: 'L. O. Castaños-Cervantes, L. M. Procopio Peña, and T. J. Bartley, “Indefinite
    causal order in cavity quantum electrodynamics,” <i>Physical Review Research</i>,
    vol. 8, no. 2, Art. no. 023295, 2026, doi: <a href="https://doi.org/10.1103/wgr6-1g5m">10.1103/wgr6-1g5m</a>.'
  mla: Castaños-Cervantes, Luis Octavio, et al. “Indefinite Causal Order in Cavity
    Quantum Electrodynamics.” <i>Physical Review Research</i>, vol. 8, no. 2, 023295,
    American Physical Society (APS), 2026, doi:<a href="https://doi.org/10.1103/wgr6-1g5m">10.1103/wgr6-1g5m</a>.
  short: L.O. Castaños-Cervantes, L.M. Procopio Peña, T.J. Bartley, Physical Review
    Research 8 (2026).
date_created: 2026-06-29T08:08:42Z
date_updated: 2026-07-07T07:29:09Z
doi: 10.1103/wgr6-1g5m
intvolume: '         8'
issue: '2'
language:
- iso: eng
publication: Physical Review Research
publication_identifier:
  issn:
  - 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Indefinite causal order in cavity quantum electrodynamics
type: journal_article
user_id: '105816'
volume: 8
year: '2026'
...
---
_id: '60136'
abstract:
- lang: eng
  text: <jats:p>Modulation conditioned on measurements on entangled photonic quantum
    states is a cornerstone technology of optical quantum information processing.
    Performing this task with low latency requires combining single-photon-level detectors
    with both electronic logic processing and optical modulation in close proximity.
    Here, we demonstrate low-latency feedforward using a quasi-photon-number-resolved
    measurement on a quantum light source. Specifically, we use a multipixel superconducting
    nanowire single-photon detector, amplifier, logic, and an integrated electro-optic
    modulator <jats:italic toggle="yes">in situ</jats:italic> below 4 K. We modulate
    the signal mode of a spontaneous parametric down-conversion source, conditional
    on a photon-number measurement of the idler mode, with a total latency of (23±3)ns.
    Furthermore, we investigate the resulting change in the photon statistics. This
    represents an important benchmark for the fastest quantum photonic feedforward
    experiments comprising measurement, amplification, logic, and modulation. This
    has direct applications in quantum computing, communication, and simulation protocols.</jats:p>
article_number: '720'
author:
- first_name: Frederik
  full_name: Thiele, Frederik
  id: '50819'
  last_name: Thiele
  orcid: 0000-0003-0663-5587
- first_name: Niklas
  full_name: Lamberty, Niklas
  id: '75307'
  last_name: Lamberty
- first_name: Thomas
  full_name: Hummel, Thomas
  id: '83846'
  last_name: Hummel
  orcid: 0000-0001-8627-2119
- first_name: Nina Amelie
  full_name: Lange, Nina Amelie
  id: '56843'
  last_name: Lange
  orcid: 0000-0001-6624-7098
- first_name: Lorenzo Manuel
  full_name: Procopio Peña, Lorenzo Manuel
  id: '105816'
  last_name: Procopio Peña
- first_name: Aishi
  full_name: Barua, Aishi
  id: '104502'
  last_name: Barua
- first_name: Sebastian
  full_name: Lengeling, Sebastian
  id: '44373'
  last_name: Lengeling
- first_name: Viktor
  full_name: Quiring, Viktor
  last_name: Quiring
- first_name: Christof
  full_name: Eigner, Christof
  id: '13244'
  last_name: Eigner
  orcid: https://orcid.org/0000-0002-5693-3083
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
- first_name: Tim
  full_name: Bartley, Tim
  id: '49683'
  last_name: Bartley
citation:
  ama: Thiele F, Lamberty N, Hummel T, et al. Cryogenic feedforward of a photonic
    quantum state. <i>Optica</i>. 2025;12(5). doi:<a href="https://doi.org/10.1364/optica.551287">10.1364/optica.551287</a>
  apa: Thiele, F., Lamberty, N., Hummel, T., Lange, N. A., Procopio Peña, L. M., Barua,
    A., Lengeling, S., Quiring, V., Eigner, C., Silberhorn, C., &#38; Bartley, T.
    (2025). Cryogenic feedforward of a photonic quantum state. <i>Optica</i>, <i>12</i>(5),
    Article 720. <a href="https://doi.org/10.1364/optica.551287">https://doi.org/10.1364/optica.551287</a>
  bibtex: '@article{Thiele_Lamberty_Hummel_Lange_Procopio Peña_Barua_Lengeling_Quiring_Eigner_Silberhorn_et
    al._2025, title={Cryogenic feedforward of a photonic quantum state}, volume={12},
    DOI={<a href="https://doi.org/10.1364/optica.551287">10.1364/optica.551287</a>},
    number={5720}, journal={Optica}, publisher={Optica Publishing Group}, author={Thiele,
    Frederik and Lamberty, Niklas and Hummel, Thomas and Lange, Nina Amelie and Procopio
    Peña, Lorenzo Manuel and Barua, Aishi and Lengeling, Sebastian and Quiring, Viktor
    and Eigner, Christof and Silberhorn, Christine and et al.}, year={2025} }'
  chicago: Thiele, Frederik, Niklas Lamberty, Thomas Hummel, Nina Amelie Lange, Lorenzo
    Manuel Procopio Peña, Aishi Barua, Sebastian Lengeling, et al. “Cryogenic Feedforward
    of a Photonic Quantum State.” <i>Optica</i> 12, no. 5 (2025). <a href="https://doi.org/10.1364/optica.551287">https://doi.org/10.1364/optica.551287</a>.
  ieee: 'F. Thiele <i>et al.</i>, “Cryogenic feedforward of a photonic quantum state,”
    <i>Optica</i>, vol. 12, no. 5, Art. no. 720, 2025, doi: <a href="https://doi.org/10.1364/optica.551287">10.1364/optica.551287</a>.'
  mla: Thiele, Frederik, et al. “Cryogenic Feedforward of a Photonic Quantum State.”
    <i>Optica</i>, vol. 12, no. 5, 720, Optica Publishing Group, 2025, doi:<a href="https://doi.org/10.1364/optica.551287">10.1364/optica.551287</a>.
  short: F. Thiele, N. Lamberty, T. Hummel, N.A. Lange, L.M. Procopio Peña, A. Barua,
    S. Lengeling, V. Quiring, C. Eigner, C. Silberhorn, T. Bartley, Optica 12 (2025).
date_created: 2025-06-04T18:34:16Z
date_updated: 2025-06-12T09:56:47Z
doi: 10.1364/optica.551287
intvolume: '        12'
issue: '5'
language:
- iso: eng
publication: Optica
publication_identifier:
  issn:
  - 2334-2536
publication_status: published
publisher: Optica Publishing Group
status: public
title: Cryogenic feedforward of a photonic quantum state
type: journal_article
user_id: '56843'
volume: 12
year: '2025'
...
