Chaos and high temperature pure state thermalization
Abstract Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many-body systems. In the classical case, chaos is a popular explanation for the legitimacy of the metho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2019)025 |
| _version_ | 1819162885940576256 |
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| author | Yuri D. Lensky Xiao-Liang Qi |
| author_facet | Yuri D. Lensky Xiao-Liang Qi |
| author_sort | Yuri D. Lensky |
| collection | DOAJ |
| description | Abstract Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many-body systems. In the classical case, chaos is a popular explanation for the legitimacy of the methods of statistical physics. In this work, we relate a previously proposed criteria of quantum chaos in the unitary time evolution operator to the entanglement entropy growth for a far-from-equilibrium initial pure state. By mapping the unitary time evolution operator to a doubled state, chaos can be characterized by suppression of mutual information between subsystems of the past and that of the future. We show that when this mutual information is small, a typical unentangled initial state will evolve to a highly entangled final state. Our result provides a more concrete connection between quantum chaos and thermalization in many-body systems. |
| first_indexed | 2024-12-22T17:35:21Z |
| format | Article |
| id | doaj.art-bff5738722904df2834741de01d6b212 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T17:35:21Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bff5738722904df2834741de01d6b2122022-12-21T18:18:32ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019611910.1007/JHEP06(2019)025Chaos and high temperature pure state thermalizationYuri D. Lensky0Xiao-Liang Qi1Stanford Institute for Theoretical Physics, Stanford UniversityStanford Institute for Theoretical Physics, Stanford UniversityAbstract Classical arguments for thermalization of isolated systems do not apply in a straightforward way to the quantum case. Recently, there has been interest in diagnostics of quantum chaos in many-body systems. In the classical case, chaos is a popular explanation for the legitimacy of the methods of statistical physics. In this work, we relate a previously proposed criteria of quantum chaos in the unitary time evolution operator to the entanglement entropy growth for a far-from-equilibrium initial pure state. By mapping the unitary time evolution operator to a doubled state, chaos can be characterized by suppression of mutual information between subsystems of the past and that of the future. We show that when this mutual information is small, a typical unentangled initial state will evolve to a highly entangled final state. Our result provides a more concrete connection between quantum chaos and thermalization in many-body systems.http://link.springer.com/article/10.1007/JHEP06(2019)025Random SystemsQuantum Dissipative Systems |
| spellingShingle | Yuri D. Lensky Xiao-Liang Qi Chaos and high temperature pure state thermalization Journal of High Energy Physics Random Systems Quantum Dissipative Systems |
| title | Chaos and high temperature pure state thermalization |
| title_full | Chaos and high temperature pure state thermalization |
| title_fullStr | Chaos and high temperature pure state thermalization |
| title_full_unstemmed | Chaos and high temperature pure state thermalization |
| title_short | Chaos and high temperature pure state thermalization |
| title_sort | chaos and high temperature pure state thermalization |
| topic | Random Systems Quantum Dissipative Systems |
| url | http://link.springer.com/article/10.1007/JHEP06(2019)025 |
| work_keys_str_mv | AT yuridlensky chaosandhightemperaturepurestatethermalization AT xiaoliangqi chaosandhightemperaturepurestatethermalization |