---
_id: '6477'
abstract:
- lang: eng
  text: 'Thermalizing quantum systems are conventionallydescribed by statistical mechanics
    at equilib-rium. However, not all systems fall into this category, with many-body
    localization providinga generic mechanism for thermalization to fail in strongly
    disordered systems. Many-bodylocalized (MBL) systems remain perfect insulators
    at nonzero temperature, which do notthermalize and therefore cannot be describedusing
    statistical mechanics. This Colloquiumreviews recent theoretical and experimental
    advances in studies of MBL systems, focusing onthe new perspective provided by
    entanglement and nonequilibrium experimental probes suchas quantum quenches. Theoretically,
    MBL systems exhibit a new kind of robust integrability: anextensive set of quasilocal
    integrals of motion emerges, which provides an intuitive explanationof the breakdown
    of thermalization. A description based on quasilocal integrals of motion isused
    to predict dynamical properties of MBL systems, such as the spreading of quantumentanglement,
    the behavior of local observables, and the response to external dissipativeprocesses.
    Furthermore, MBL systems can exhibit eigenstate transitions and quantum ordersforbidden
    in thermodynamic equilibrium. An outline isgiven of the current theoretical under-standing
    of the quantum-to-classical transitionbetween many-body localized and ergodic
    phasesand anomalous transport in the vicinity of that transition. Experimentally,
    synthetic quantumsystems, which are well isolated from an external thermal reservoir,
    provide natural platforms forrealizing the MBL phase. Recent experiments with
    ultracold atoms, trapped ions, superconductingqubits, and quantum materials, in
    which different signatures of many-body localization have beenobserved, are reviewed.
    This Colloquium concludes by listing outstanding challenges andpromising future
    research directions.'
article_number: '021001'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Dmitry A.
  full_name: Abanin, Dmitry A.
  last_name: Abanin
- first_name: Ehud
  full_name: Altman, Ehud
  last_name: Altman
- first_name: Immanuel
  full_name: Bloch, Immanuel
  last_name: Bloch
- first_name: Maksym
  full_name: Serbyn, Maksym
  id: 47809E7E-F248-11E8-B48F-1D18A9856A87
  last_name: Serbyn
  orcid: 0000-0002-2399-5827
citation:
  ama: 'Abanin DA, Altman E, Bloch I, Serbyn M. Colloquium: Many-body localization,
    thermalization, and entanglement. <i>Reviews of Modern Physics</i>. 2019;91(2).
    doi:<a href="https://doi.org/10.1103/revmodphys.91.021001">10.1103/revmodphys.91.021001</a>'
  apa: 'Abanin, D. A., Altman, E., Bloch, I., &#38; Serbyn, M. (2019). Colloquium:
    Many-body localization, thermalization, and entanglement. <i>Reviews of Modern
    Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/revmodphys.91.021001">https://doi.org/10.1103/revmodphys.91.021001</a>'
  chicago: 'Abanin, Dmitry A., Ehud Altman, Immanuel Bloch, and Maksym Serbyn. “Colloquium:
    Many-Body Localization, Thermalization, and Entanglement.” <i>Reviews of Modern
    Physics</i>. American Physical Society, 2019. <a href="https://doi.org/10.1103/revmodphys.91.021001">https://doi.org/10.1103/revmodphys.91.021001</a>.'
  ieee: 'D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, “Colloquium: Many-body
    localization, thermalization, and entanglement,” <i>Reviews of Modern Physics</i>,
    vol. 91, no. 2. American Physical Society, 2019.'
  ista: 'Abanin DA, Altman E, Bloch I, Serbyn M. 2019. Colloquium: Many-body localization,
    thermalization, and entanglement. Reviews of Modern Physics. 91(2), 021001.'
  mla: 'Abanin, Dmitry A., et al. “Colloquium: Many-Body Localization, Thermalization,
    and Entanglement.” <i>Reviews of Modern Physics</i>, vol. 91, no. 2, 021001, American
    Physical Society, 2019, doi:<a href="https://doi.org/10.1103/revmodphys.91.021001">10.1103/revmodphys.91.021001</a>.'
  short: D.A. Abanin, E. Altman, I. Bloch, M. Serbyn, Reviews of Modern Physics 91
    (2019).
date_created: 2019-05-23T07:38:43Z
date_published: 2019-05-22T00:00:00Z
date_updated: 2023-08-25T10:37:56Z
day: '22'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1103/revmodphys.91.021001
external_id:
  arxiv:
  - '1804.11065'
  isi:
  - '000469046900001'
file:
- access_level: open_access
  checksum: 4aec0e6662b09f6e0f828cd30ff2c3a6
  content_type: application/pdf
  creator: mserbyn
  date_created: 2019-05-23T07:39:05Z
  date_updated: 2020-07-14T12:47:31Z
  file_id: '6478'
  file_name: RevModPhys.91.021001.pdf
  file_size: 1695677
  relation: main_file
file_date_updated: 2020-07-14T12:47:31Z
has_accepted_license: '1'
intvolume: '        91'
isi: 1
issue: '2'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Reviews of Modern Physics
publication_identifier:
  eissn:
  - 0034-6861
  issn:
  - 1539-0756
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Colloquium: Many-body localization, thermalization, and entanglement'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 91
year: '2019'
...