A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography
Abstract The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic examples demonstrating the strong ETH in special cases, of...
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)095 |
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| author | Taishi Kawamoto |
| author_facet | Taishi Kawamoto |
| author_sort | Taishi Kawamoto |
| collection | DOAJ |
| description | Abstract The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic examples demonstrating the strong ETH in special cases, often through methods related to integrability. In this paper, we explore sufficient conditions for the strong ETH that may apply to a broad range of chaotic theories. These conditions are expressed as inequalities involving the long-time averages of real-time thermal correlators. Specifically, as an illustration, we consider simple toy examples which satisfy these conditions under certain technical assumptions. This toy models have same properties as holographic theories at least in the perturbation in large N. We give a few comments for more realistic holographic models. |
| format | Article |
| id | doaj-art-58980b6e6f554baf8a368bcacd317e72 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-58980b6e6f554baf8a368bcacd317e722025-02-09T12:07:29ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115510.1007/JHEP01(2025)095A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holographyTaishi Kawamoto0Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic examples demonstrating the strong ETH in special cases, often through methods related to integrability. In this paper, we explore sufficient conditions for the strong ETH that may apply to a broad range of chaotic theories. These conditions are expressed as inequalities involving the long-time averages of real-time thermal correlators. Specifically, as an illustration, we consider simple toy examples which satisfy these conditions under certain technical assumptions. This toy models have same properties as holographic theories at least in the perturbation in large N. We give a few comments for more realistic holographic models.https://doi.org/10.1007/JHEP01(2025)095AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT) |
| spellingShingle | Taishi Kawamoto A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography Journal of High Energy Physics AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| title | A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography |
| title_full | A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography |
| title_fullStr | A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography |
| title_full_unstemmed | A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography |
| title_short | A strategy for proving the strong eigenstate thermalization hypothesis: chaotic systems and holography |
| title_sort | strategy for proving the strong eigenstate thermalization hypothesis chaotic systems and holography |
| topic | AdS-CFT Correspondence Gauge-Gravity Correspondence Holography and Condensed Matter Physics (AdS/CMT) |
| url | https://doi.org/10.1007/JHEP01(2025)095 |
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