---
_id: '44'
abstract:
- lang: eng
  text: 'Recent realization of a kinetically constrained chain of Rydberg atoms by
    Bernien et al., [Nature (London) 551, 579 (2017)] resulted in the observation
    of unusual revivals in the many-body quantum dynamics. In our previous work [C.
    J. Turner et al., Nat. Phys. 14, 745 (2018)], such dynamics was attributed to
    the existence of “quantum scarred” eigenstates in the many-body spectrum of the
    experimentally realized model. Here, we present a detailed study of the eigenstate
    properties of the same model. We find that the majority of the eigenstates exhibit
    anomalous thermalization: the observable expectation values converge to their
    Gibbs ensemble values, but parametrically slower compared to the predictions of
    the eigenstate thermalization hypothesis (ETH). Amidst the thermalizing spectrum,
    we identify nonergodic eigenstates that strongly violate the ETH, whose number
    grows polynomially with system size. Previously, the same eigenstates were identified
    via large overlaps with certain product states, and were used to explain the revivals
    observed in experiment. Here, we find that these eigenstates, in addition to highly
    atypical expectation values of local observables, also exhibit subthermal entanglement
    entropy that scales logarithmically with the system size. Moreover, we identify
    an additional class of quantum scarred eigenstates, and discuss their manifestations
    in the dynamics starting from initial product states. We use forward scattering
    approximation to describe the structure and physical properties of quantum scarred
    eigenstates. Finally, we discuss the stability of quantum scars to various perturbations.
    We observe that quantum scars remain robust when the introduced perturbation is
    compatible with the forward scattering approximation. In contrast, the perturbations
    which most efficiently destroy quantum scars also lead to the restoration of “canonical”
    thermalization.'
acknowledged_ssus:
- _id: ScienComp
article_number: '155134'
article_processing_charge: No
arxiv: 1
author:
- first_name: C J
  full_name: Turner, C J
  last_name: Turner
- first_name: Alexios
  full_name: Michailidis, Alexios
  id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
  last_name: Michailidis
  orcid: 0000-0002-8443-1064
- first_name: D A
  full_name: Abanin, D A
  last_name: Abanin
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
- first_name: Z
  full_name: Papić, Z
  last_name: Papić
citation:
  ama: 'Turner CJ, Michailidis A, Abanin DA, Serbyn M, Papić Z. Quantum scarred eigenstates
    in a Rydberg atom chain: Entanglement, breakdown of thermalization, and stability
    to perturbations. <i>Physical Review B</i>. 2018;98(15). doi:<a href="https://doi.org/10.1103/PhysRevB.98.155134">10.1103/PhysRevB.98.155134</a>'
  apa: 'Turner, C. J., Michailidis, A., Abanin, D. A., Serbyn, M., &#38; Papić, Z.
    (2018). Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown
    of thermalization, and stability to perturbations. <i>Physical Review B</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevB.98.155134">https://doi.org/10.1103/PhysRevB.98.155134</a>'
  chicago: 'Turner, C J, Alexios Michailidis, D A Abanin, Maksym Serbyn, and Z Papić.
    “Quantum Scarred Eigenstates in a Rydberg Atom Chain: Entanglement, Breakdown
    of Thermalization, and Stability to Perturbations.” <i>Physical Review B</i>.
    American Physical Society, 2018. <a href="https://doi.org/10.1103/PhysRevB.98.155134">https://doi.org/10.1103/PhysRevB.98.155134</a>.'
  ieee: 'C. J. Turner, A. Michailidis, D. A. Abanin, M. Serbyn, and Z. Papić, “Quantum
    scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization,
    and stability to perturbations,” <i>Physical Review B</i>, vol. 98, no. 15. American
    Physical Society, 2018.'
  ista: 'Turner CJ, Michailidis A, Abanin DA, Serbyn M, Papić Z. 2018. Quantum scarred
    eigenstates in a Rydberg atom chain: Entanglement, breakdown of thermalization,
    and stability to perturbations. Physical Review B. 98(15), 155134.'
  mla: 'Turner, C. J., et al. “Quantum Scarred Eigenstates in a Rydberg Atom Chain:
    Entanglement, Breakdown of Thermalization, and Stability to Perturbations.” <i>Physical
    Review B</i>, vol. 98, no. 15, 155134, American Physical Society, 2018, doi:<a
    href="https://doi.org/10.1103/PhysRevB.98.155134">10.1103/PhysRevB.98.155134</a>.'
  short: C.J. Turner, A. Michailidis, D.A. Abanin, M. Serbyn, Z. Papić, Physical Review
    B 98 (2018).
date_created: 2018-12-11T11:44:19Z
date_published: 2018-10-22T00:00:00Z
date_updated: 2023-10-10T13:28:49Z
day: '22'
department:
- _id: MaSe
doi: 10.1103/PhysRevB.98.155134
external_id:
  arxiv:
  - '1806.10933'
  isi:
  - '000447919100001'
intvolume: '        98'
isi: 1
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1806.10933
month: '10'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_status: published
publisher: American Physical Society
publist_id: '8010'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Quantum scarred eigenstates in a Rydberg atom chain: Entanglement, breakdown
  of thermalization, and stability to perturbations'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 98
year: '2018'
...