---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
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_id: '22408'
abstract:
- lang: eng
  text: Solitons—localized wave packets that travel without spreading—play a central
    role in understanding transport and properties of nonlinear systems. In quantum
    many-body systems, however, such robust excitations are typically destroyed by
    thermalization. Here, we theoretically demonstrate the existence of solitonic
    excitations in high-energy states of Rydberg atom chains in the regime of strong
    nearest-neighbor Rydberg blockade. These localized wave packets propagate directionally
    atop a special class of reviving initial states related to quantum many-body scars
    and are capable of carrying energy. Exhibiting long coherence times, these states
    constitute a form of non-ergodic quantum dynamics and can be efficiently implemented
    on Rydberg atom simulators. In this work, in addition to a phenomenological description
    of solitons, we identify their counterpart in a classical nonlinear dynamical
    system, demonstrate their potential use in quantum information transfer, and conjecture
    their relevance for anomalous energy transport reported in numerical studies of
    Rydberg atom arrays.
acknowledgement: We acknowledge useful discussions with J.-S. Caux, E. Demler, J.
  Dubail, F. Essler, J. Feldmeier, S. Garratt, W. W. Ho, M. Lukin, Z. Papic, S. Rotter,
  F. Surace, and R. Vasseur. J.-Y.D. acknowledges funding from the European Union’s
  Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
  Grant Agreement No. 101034413. M. L. acknowledges support by the Deutsche Forschungsgemeinschaft
  (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2111—390814868.
  We acknowledge support by the Erwin Schrödinger International Institute for Mathematics
  and Physics (ESI). This research was funded in part by the Austrian Science Fund
  (FWF) https://doi.org/10.55776/COE1 and the European Union—NextGenerationEU. This
  research was supported in part by grant NSF PHY2309135 to the Kavli Institute for
  Theoretical Physics (KITP).
article_number: '8783'
article_processing_charge: Yes
article_type: original
author:
- first_name: Aron
  full_name: Kerschbaumer, Aron
  id: ade85a9c-3200-11ee-973b-91c1eb240410
  last_name: Kerschbaumer
  orcid: 0009-0002-2370-8661
- first_name: Jean-Yves Marc
  full_name: Desaules, Jean-Yves Marc
  id: 6c292945-a610-11ed-9eec-c3be1ad62a80
  last_name: Desaules
  orcid: 0000-0002-3749-6375
- first_name: Marko
  full_name: Ljubotina, Marko
  id: F75EE9BE-5C90-11EA-905D-16643DDC885E
  last_name: Ljubotina
  orcid: 0000-0003-0038-7068
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Kerschbaumer A, Desaules J-YM, Ljubotina M, Serbyn M. Quasi-solitons in Rydberg
    atom chains. <i>Nature Communications</i>. 2026;17. doi:<a href="https://doi.org/10.1038/s41467-026-75598-1">10.1038/s41467-026-75598-1</a>
  apa: Kerschbaumer, A., Desaules, J.-Y. M., Ljubotina, M., &#38; Serbyn, M. (2026).
    Quasi-solitons in Rydberg atom chains. <i>Nature Communications</i>. Springer
    Nature. <a href="https://doi.org/10.1038/s41467-026-75598-1">https://doi.org/10.1038/s41467-026-75598-1</a>
  chicago: Kerschbaumer, Aron, Jean-Yves Marc Desaules, Marko Ljubotina, and Maksym
    Serbyn. “Quasi-Solitons in Rydberg Atom Chains.” <i>Nature Communications</i>.
    Springer Nature, 2026. <a href="https://doi.org/10.1038/s41467-026-75598-1">https://doi.org/10.1038/s41467-026-75598-1</a>.
  ieee: A. Kerschbaumer, J.-Y. M. Desaules, M. Ljubotina, and M. Serbyn, “Quasi-solitons
    in Rydberg atom chains,” <i>Nature Communications</i>, vol. 17. Springer Nature,
    2026.
  ista: Kerschbaumer A, Desaules J-YM, Ljubotina M, Serbyn M. 2026. Quasi-solitons
    in Rydberg atom chains. Nature Communications. 17, 8783.
  mla: Kerschbaumer, Aron, et al. “Quasi-Solitons in Rydberg Atom Chains.” <i>Nature
    Communications</i>, vol. 17, 8783, Springer Nature, 2026, doi:<a href="https://doi.org/10.1038/s41467-026-75598-1">10.1038/s41467-026-75598-1</a>.
  short: A. Kerschbaumer, J.-Y.M. Desaules, M. Ljubotina, M. Serbyn, Nature Communications
    17 (2026).
corr_author: '1'
das_tickbox: '1'
dataavailabilitystatement: The raw data used to generate the figures are available
  at ref54.The TEBD algorithm used in this work was implemented using the ITensor
  library48,49 and the integration of the classical differential equations was performed
  via SciPy’s Runge-Kutta RK45 integrator52,53. The code used in this study to produce
  the plots from the shared data is available at ref.54.
date_created: 2026-07-27T07:26:27Z
date_published: 2026-08-21T00:00:00Z
date_updated: 2026-09-17T10:54:09Z
day: '21'
ddc:
- '530'
department:
- _id: MaSe
- _id: GradSch
doi: 10.1038/s41467-026-75598-1
ec_funded: 1
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language:
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month: '08'
oa: 1
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project:
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publication: Nature Communications
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  eissn:
  - 2041-1723
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
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status: public
supplementarymaterial: yes
title: Quasi-solitons in Rydberg atom chains
tmp:
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  short: CC BY (4.0)
type: journal_article
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...
---
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abstract:
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  text: Describing general quantum many-body dynamics is a challenging task due to
    the exponential growth of the Hilbert space with system size. The time-dependent
    variational principle (TDVP) provides a powerful tool to tackle this task by projecting
    quantum evolution onto a classical dynamical system within a variational manifold.
    In classical systems, periodic orbits play a crucial role in understanding the
    structure of the phase space and the long-term behavior of the system. However,
    finding periodic orbits is generally difficult, and their existence and properties
    in generic TDVP dynamics over matrix product states have remained largely unexplored.
    In this work, we develop an algorithm to systematically identify and characterize
    periodic orbits in TDVP dynamics. Applying our method to the periodically kicked
    Ising model, we uncover both stable and unstable periodic orbits. We characterize
    the Kolmogorov-Arnold-Moser tori in the vicinity of stable periodic orbits and
    track the change of the periodic orbits as we modify the Hamiltonian parameters.
    We observe that periodic orbits exist at any value of the coupling constant of
    the kicked Ising model between prethermal and fully thermalizing regimes, but
    their relevance to quantum dynamics and imprint on quantum eigenstates diminishes
    as the system leaves the prethermal regime. Our results demonstrate that periodic
    orbits provide valuable insights into the TDVP approximation of quantum many-body
    evolution and establish a closer connection between quantum and classical chaos.
acknowledgement: We acknowledge useful discussions with C. Kollath, A. Green, and
  D. Huse. E.P., M.L., and M.S. acknowledge support by the European Research Council
  under the European Union’s Horizon 2020 research and innovation program (Grant Agreement
  No. 850899). This research was funded in whole or in part by the Austrian Science
  Fund (FWF) (Grant No. 10.55776/COE1). For open access purposes, the author has applied
  a CC BY public copyright license to any author accepted manuscript version arising
  from this submission. M.L. acknowledges support by the Deutsche Forschungsgemeinschaft
  (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2111—390814868.
  This research was supported in part by National Science Foundation (NSF) Grant No.
  PHY-2309135 to the Kavli Institute for Theoretical Physics (KITP) and by the Erwin
  Schrödinger International Institute for Mathematics and Physics (ESI).
article_number: '040333'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Elena
  full_name: Petrova, Elena
  id: 0ac84990-897b-11ed-a09c-f5abb56a4ede
  last_name: Petrova
- first_name: Marko
  full_name: Ljubotina, Marko
  id: F75EE9BE-5C90-11EA-905D-16643DDC885E
  last_name: Ljubotina
  orcid: 0000-0003-0038-7068
- first_name: Gökhan
  full_name: Yalniz, Gökhan
  id: 66E74FA2-D8BF-11E9-8249-8DE2E5697425
  last_name: Yalniz
  orcid: 0000-0002-8490-9312
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: Petrova E, Ljubotina M, Yalniz G, Serbyn M. Finding periodic orbits in projected
    quantum many-body dynamics. <i>PRX Quantum</i>. 2025;6(4). doi:<a href="https://doi.org/10.1103/tldp-kvkd">10.1103/tldp-kvkd</a>
  apa: Petrova, E., Ljubotina, M., Yalniz, G., &#38; Serbyn, M. (2025). Finding periodic
    orbits in projected quantum many-body dynamics. <i>PRX Quantum</i>. American Physical
    Society. <a href="https://doi.org/10.1103/tldp-kvkd">https://doi.org/10.1103/tldp-kvkd</a>
  chicago: Petrova, Elena, Marko Ljubotina, Gökhan Yalniz, and Maksym Serbyn. “Finding
    Periodic Orbits in Projected Quantum Many-Body Dynamics.” <i>PRX Quantum</i>.
    American Physical Society, 2025. <a href="https://doi.org/10.1103/tldp-kvkd">https://doi.org/10.1103/tldp-kvkd</a>.
  ieee: E. Petrova, M. Ljubotina, G. Yalniz, and M. Serbyn, “Finding periodic orbits
    in projected quantum many-body dynamics,” <i>PRX Quantum</i>, vol. 6, no. 4. American
    Physical Society, 2025.
  ista: Petrova E, Ljubotina M, Yalniz G, Serbyn M. 2025. Finding periodic orbits
    in projected quantum many-body dynamics. PRX Quantum. 6(4), 040333.
  mla: Petrova, Elena, et al. “Finding Periodic Orbits in Projected Quantum Many-Body
    Dynamics.” <i>PRX Quantum</i>, vol. 6, no. 4, 040333, American Physical Society,
    2025, doi:<a href="https://doi.org/10.1103/tldp-kvkd">10.1103/tldp-kvkd</a>.
  short: E. Petrova, M. Ljubotina, G. Yalniz, M. Serbyn, PRX Quantum 6 (2025).
corr_author: '1'
date_created: 2025-11-14T09:40:52Z
date_published: 2025-11-12T00:00:00Z
date_updated: 2026-09-16T07:04:35Z
day: '12'
ddc:
- '539'
department:
- _id: GradSch
- _id: BjHo
- _id: MaSe
doi: 10.1103/tldp-kvkd
ec_funded: 1
external_id:
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  - '2504.12472'
  isi:
  - '001616473700003'
file:
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has_accepted_license: '1'
intvolume: '         6'
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issue: '4'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
- _id: 3AC91DDA-15DF-11EA-824D-93A3E7B544D1
  call_identifier: FWF
  name: FWF Open Access Fund
- _id: 92c64506-16d5-11f0-9cad-87ce313ee832
  grant_number: COE01
  name: Quantum Science Austria (Serbyn)
publication: PRX Quantum
publication_identifier:
  eissn:
  - 2691-3399
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
  link:
  - description: News on ISTA website
    relation: press_release
    url: https://ista.ac.at/en/news/reaching-for-the-quantum-scars/
scopus_import: '1'
status: public
title: Finding periodic orbits in projected quantum many-body dynamics
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type: journal_article
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volume: 6
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...
---
DOAJ_listed: '1'
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_id: '20709'
abstract:
- lang: eng
  text: Non-Hermitian many-body localization (NH MBL) has emerged as a possible scenario
    for stable localization in open systems, as suggested by spectral indicators identifying
    a putative transition for finite system sizes. In this work, we shift the focus
    to dynamical probes, specifically the steady-state spin current, to investigate
    transport properties in a disordered, non-Hermitian XXZ spin chain. Through exact
    diagonalization for small systems and tensor-network methods for larger chains,
    we demonstrate that the steady-state current remains finite and decays exponentially
    with disorder strength, showing no evidence of a transition up to disorder values
    far beyond the previously claimed critical point. Our results reveal a stark discrepancy
    between spectral indicators, which suggest localization, and transport behavior,
    which indicates delocalization. This highlights the importance of dynamical observables
    in characterizing NH MBL and suggests that traditional spectral measures may not
    fully capture the physics of non-Hermitian systems. Additionally, we observe a
    noncommutativity of limits in system size and time, further complicating the interpretation
    of finite-size studies. These findings challenge the existence of NH MBL in the
    studied model and underscore the need for alternative approaches to understanding
    localization in non-Hermitian settings.
acknowledgement: "F.B. thanks Giuseppe de Tomasi and Oskar A. Prośniak for discussion.
  P.B. acknowledges support by the Austrian Science Fund (FWF) (Grant Agreement No.
  10.55776/ESP9057324). This research was funded in whole or in part by the Austrian
  Science Fund (FWF) [10.55776/COE1]. The numerical simulations were performed using
  the ITensor library [73] on the Vienna Scientific Cluster (VSC) and on the MPIPKS
  HPC cluster. M.L. acknowledges support by the Deutsche Forschungsgemeinschaft (DFG,
  German Research Foundation) under Germany’s Excellence Strategy—EXC-2111—390814868.
  F.R. acknowledges support by the European Union-Next Generation EU with the project
  “Quantum Optics in Many-Body photonic Environments” (QOMBE) code SOE2024_0000084-CUP
  B77G24000480006. Open\r\naccess publication funded by Max Planck Society."
article_number: L042014
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Pietro
  full_name: Brighi, Pietro
  id: 4115AF5C-F248-11E8-B48F-1D18A9856A87
  last_name: Brighi
  orcid: 0000-0002-7969-2729
- first_name: Marko
  full_name: Ljubotina, Marko
  id: F75EE9BE-5C90-11EA-905D-16643DDC885E
  last_name: Ljubotina
  orcid: 0000-0003-0038-7068
- first_name: Federico
  full_name: Roccati, Federico
  last_name: Roccati
- first_name: Federico
  full_name: Balducci, Federico
  last_name: Balducci
citation:
  ama: Brighi P, Ljubotina M, Roccati F, Balducci F. Finite steady-state current defies
    non-Hermitian many-body localization. <i>Physical Review Research</i>. 2025;7(4).
    doi:<a href="https://doi.org/10.1103/crwj-x7j8">10.1103/crwj-x7j8</a>
  apa: Brighi, P., Ljubotina, M., Roccati, F., &#38; Balducci, F. (2025). Finite steady-state
    current defies non-Hermitian many-body localization. <i>Physical Review Research</i>.
    American Physical Society. <a href="https://doi.org/10.1103/crwj-x7j8">https://doi.org/10.1103/crwj-x7j8</a>
  chicago: Brighi, Pietro, Marko Ljubotina, Federico Roccati, and Federico Balducci.
    “Finite Steady-State Current Defies Non-Hermitian Many-Body Localization.” <i>Physical
    Review Research</i>. American Physical Society, 2025. <a href="https://doi.org/10.1103/crwj-x7j8">https://doi.org/10.1103/crwj-x7j8</a>.
  ieee: P. Brighi, M. Ljubotina, F. Roccati, and F. Balducci, “Finite steady-state
    current defies non-Hermitian many-body localization,” <i>Physical Review Research</i>,
    vol. 7, no. 4. American Physical Society, 2025.
  ista: Brighi P, Ljubotina M, Roccati F, Balducci F. 2025. Finite steady-state current
    defies non-Hermitian many-body localization. Physical Review Research. 7(4), L042014.
  mla: Brighi, Pietro, et al. “Finite Steady-State Current Defies Non-Hermitian Many-Body
    Localization.” <i>Physical Review Research</i>, vol. 7, no. 4, L042014, American
    Physical Society, 2025, doi:<a href="https://doi.org/10.1103/crwj-x7j8">10.1103/crwj-x7j8</a>.
  short: P. Brighi, M. Ljubotina, F. Roccati, F. Balducci, Physical Review Research
    7 (2025).
date_created: 2025-11-30T23:02:08Z
date_published: 2025-10-01T00:00:00Z
date_updated: 2026-09-16T07:06:16Z
day: '01'
ddc:
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department:
- _id: MaSe
doi: 10.1103/crwj-x7j8
external_id:
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  - '2504.02460'
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  date_created: 2025-12-01T08:00:19Z
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issue: '4'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 92c64506-16d5-11f0-9cad-87ce313ee832
  grant_number: COE01
  name: Quantum Science Austria (Serbyn)
publication: Physical Review Research
publication_identifier:
  eissn:
  - 2643-1564
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finite steady-state current defies non-Hermitian many-body localization
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2025'
...
