New characteristic of quantum many-body chaotic systems
An isolated quantum system in a pure state may be perceived as thermal if only a substantially small fraction of all degrees of freedom is probed. We propose that in a quantum chaotic many-body system all states with sufficiently small energy fluctuations are approximately thermal. We refer to this...
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| Format: | Article |
| Language: | English |
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American Physical Society
2019
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| Online Access: | http://hdl.handle.net/1721.1/120068 https://orcid.org/0000-0002-4911-3183 |
| _version_ | 1811089578792058880 |
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| author | Dymarsky, Anatoly Liu, Hong |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Dymarsky, Anatoly Liu, Hong |
| author_sort | Dymarsky, Anatoly |
| collection | MIT |
| description | An isolated quantum system in a pure state may be perceived as thermal if only a substantially small fraction of all degrees of freedom is probed. We propose that in a quantum chaotic many-body system all states with sufficiently small energy fluctuations are approximately thermal. We refer to this hypothesis as canonical universality (CU). The CU hypothesis complements the eigenstate thermalization hypothesis which proposes that for chaotic systems individual energy eigenstates are thermal. Integrable and many-body localization systems do not satisfy CU. We provide theoretical and numerical evidence supporting the CU hypothesis. |
| first_indexed | 2024-09-23T14:21:25Z |
| format | Article |
| id | mit-1721.1/120068 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:21:25Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1200682022-10-01T20:49:10Z New characteristic of quantum many-body chaotic systems Dymarsky, Anatoly Liu, Hong Massachusetts Institute of Technology. Center for Theoretical Physics Liu, Hong An isolated quantum system in a pure state may be perceived as thermal if only a substantially small fraction of all degrees of freedom is probed. We propose that in a quantum chaotic many-body system all states with sufficiently small energy fluctuations are approximately thermal. We refer to this hypothesis as canonical universality (CU). The CU hypothesis complements the eigenstate thermalization hypothesis which proposes that for chaotic systems individual energy eigenstates are thermal. Integrable and many-body localization systems do not satisfy CU. We provide theoretical and numerical evidence supporting the CU hypothesis. 2019-01-15T18:47:32Z 2019-01-15T18:47:32Z 2019-01 2017-12 2019-01-04T18:00:19Z Article http://purl.org/eprint/type/JournalArticle 2470-0045 2470-0053 http://hdl.handle.net/1721.1/120068 Dymarsky, Anatoly and Hong Liu. "New characteristic of quantum many-body chaotic systems." Physical Review E 99, 1 (January 2019): 010102(R) © 2019 American Physical Society https://orcid.org/0000-0002-4911-3183 en http://dx.doi.org/10.1103/PhysRevE.99.010102 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Dymarsky, Anatoly Liu, Hong New characteristic of quantum many-body chaotic systems |
| title | New characteristic of quantum many-body chaotic systems |
| title_full | New characteristic of quantum many-body chaotic systems |
| title_fullStr | New characteristic of quantum many-body chaotic systems |
| title_full_unstemmed | New characteristic of quantum many-body chaotic systems |
| title_short | New characteristic of quantum many-body chaotic systems |
| title_sort | new characteristic of quantum many body chaotic systems |
| url | http://hdl.handle.net/1721.1/120068 https://orcid.org/0000-0002-4911-3183 |
| work_keys_str_mv | AT dymarskyanatoly newcharacteristicofquantummanybodychaoticsystems AT liuhong newcharacteristicofquantummanybodychaoticsystems |