---
_id: '9048'
abstract:
- lang: eng
  text: The analogy between an equilibrium partition function and the return probability
    in many-body unitary dynamics has led to the concept of dynamical quantum phase
    transition (DQPT). DQPTs are defined by nonanalyticities in the return amplitude
    and are present in many models. In some cases, DQPTs can be related to equilibrium
    concepts, such as order parameters, yet their universal description is an open
    question. In this Letter, we provide first steps toward a classification of DQPTs
    by using a matrix product state description of unitary dynamics in the thermodynamic
    limit. This allows us to distinguish the two limiting cases of “precession” and
    “entanglement” DQPTs, which are illustrated using an analytical description in
    the quantum Ising model. While precession DQPTs are characterized by a large entanglement
    gap and are semiclassical in their nature, entanglement DQPTs occur near avoided
    crossings in the entanglement spectrum and can be distinguished by a complex pattern
    of nonlocal correlations. We demonstrate the existence of precession and entanglement
    DQPTs beyond Ising models, discuss observables that can distinguish them, and
    relate their interplay to complex DQPT phenomenology.
acknowledgement: "S. D. N. acknowledges funding from the Institute of Science and
  Technology (IST) Austria and from the European Union’s Horizon 2020 Research and
  Innovation Programme under the Marie Skłodowska-Curie Grant Agreement No. 754411.
  A. M. and M. S. were supported by the European Research Council (ERC) under the
  European Union’s Horizon 2020 Research and\r\nInnovation Programme (Grant Agreement
  No. 850899)."
article_number: '040602'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Stefano
  full_name: De Nicola, Stefano
  id: 42832B76-F248-11E8-B48F-1D18A9856A87
  last_name: De Nicola
  orcid: 0000-0002-4842-6671
- first_name: Alexios
  full_name: Michailidis, Alexios
  id: 36EBAD38-F248-11E8-B48F-1D18A9856A87
  last_name: Michailidis
  orcid: 0000-0002-8443-1064
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: De Nicola S, Michailidis A, Serbyn M. Entanglement view of dynamical quantum
    phase transitions. <i>Physical Review Letters</i>. 2021;126(4). doi:<a href="https://doi.org/10.1103/physrevlett.126.040602">10.1103/physrevlett.126.040602</a>
  apa: De Nicola, S., Michailidis, A., &#38; Serbyn, M. (2021). Entanglement view
    of dynamical quantum phase transitions. <i>Physical Review Letters</i>. American
    Physical Society. <a href="https://doi.org/10.1103/physrevlett.126.040602">https://doi.org/10.1103/physrevlett.126.040602</a>
  chicago: De Nicola, Stefano, Alexios Michailidis, and Maksym Serbyn. “Entanglement
    View of Dynamical Quantum Phase Transitions.” <i>Physical Review Letters</i>.
    American Physical Society, 2021. <a href="https://doi.org/10.1103/physrevlett.126.040602">https://doi.org/10.1103/physrevlett.126.040602</a>.
  ieee: S. De Nicola, A. Michailidis, and M. Serbyn, “Entanglement view of dynamical
    quantum phase transitions,” <i>Physical Review Letters</i>, vol. 126, no. 4. American
    Physical Society, 2021.
  ista: De Nicola S, Michailidis A, Serbyn M. 2021. Entanglement view of dynamical
    quantum phase transitions. Physical Review Letters. 126(4), 040602.
  mla: De Nicola, Stefano, et al. “Entanglement View of Dynamical Quantum Phase Transitions.”
    <i>Physical Review Letters</i>, vol. 126, no. 4, 040602, American Physical Society,
    2021, doi:<a href="https://doi.org/10.1103/physrevlett.126.040602">10.1103/physrevlett.126.040602</a>.
  short: S. De Nicola, A. Michailidis, M. Serbyn, Physical Review Letters 126 (2021).
date_created: 2021-02-01T09:20:00Z
date_published: 2021-01-29T00:00:00Z
date_updated: 2025-04-14T07:43:50Z
day: '29'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/physrevlett.126.040602
ec_funded: 1
external_id:
  arxiv:
  - '2008.04894'
  isi:
  - '000613148200001'
file:
- access_level: open_access
  checksum: d9acbc502390ed7a97e631d23ae19ecd
  content_type: application/pdf
  creator: dernst
  date_created: 2021-02-03T12:47:04Z
  date_updated: 2021-02-03T12:47:04Z
  file_id: '9074'
  file_name: 2021_PhysicalRevLett_DeNicola.pdf
  file_size: 398075
  relation: main_file
  success: 1
file_date_updated: 2021-02-03T12:47:04Z
has_accepted_license: '1'
intvolume: '       126'
isi: 1
issue: '4'
keyword:
- General Physics and Astronomy
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
- _id: 23841C26-32DE-11EA-91FC-C7463DDC885E
  call_identifier: H2020
  grant_number: '850899'
  name: 'Non-Ergodic Quantum Matter: Universality, Dynamics and Control'
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Entanglement view of dynamical quantum phase transitions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 126
year: '2021'
...