--- _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 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. Reviews of Modern Physics. 2019;91(2). doi:10.1103/revmodphys.91.021001' apa: 'Abanin, D. A., Altman, E., Bloch, I., & Serbyn, M. (2019). Colloquium: Many-body localization, thermalization, and entanglement. Reviews of Modern Physics. American Physical Society. https://doi.org/10.1103/revmodphys.91.021001' chicago: 'Abanin, Dmitry A., Ehud Altman, Immanuel Bloch, and Maksym Serbyn. “Colloquium: Many-Body Localization, Thermalization, and Entanglement.” Reviews of Modern Physics. American Physical Society, 2019. https://doi.org/10.1103/revmodphys.91.021001.' ieee: 'D. A. Abanin, E. Altman, I. Bloch, and M. Serbyn, “Colloquium: Many-body localization, thermalization, and entanglement,” Reviews of Modern Physics, 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.” Reviews of Modern Physics, vol. 91, no. 2, 021001, American Physical Society, 2019, doi:10.1103/revmodphys.91.021001.' 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' ...