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| Main Authors: | , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.24510 |
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| _version_ | 1866917527841406976 |
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| author | Purohit, Avadhut V. Sharma, Harshit Bhosale, Udaysinh T. |
| author_facet | Purohit, Avadhut V. Sharma, Harshit Bhosale, Udaysinh T. |
| contents | We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis addresses a key open question: whether \textit{strong} ETH is a quantum analog of ergodicity (or mean-ergodicity). Despite non-chaotic dynamics, the fluctuations of the diagonal matrix elements of an observable scale as $D^{-1/2}$, where $D$ denotes the Hilbert space dimension. Furthermore, the off-diagonal matrix elements show Gaussian statistics together with a smooth function $f_O(\bar{E}, ω)$ that becomes nearly uniform in the large-$k_θ$ domain. Our findings show that even mean-ergodic and non-chaotic systems can exhibit \textit{strong} ETH. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24510 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong Eigenstate Thermalization from Mean-Ergodic Non-chaotic Dynamics Purohit, Avadhut V. Sharma, Harshit Bhosale, Udaysinh T. Statistical Mechanics Quantum Physics We report an example of a many-body system, derived from the double kicked top (DKT), with non-chaotic yet mean-ergodic dynamics that displays \textit{strong} eigenstate thermalization hypothesis (ETH) in the quantum regime. The analysis addresses a key open question: whether \textit{strong} ETH is a quantum analog of ergodicity (or mean-ergodicity). Despite non-chaotic dynamics, the fluctuations of the diagonal matrix elements of an observable scale as $D^{-1/2}$, where $D$ denotes the Hilbert space dimension. Furthermore, the off-diagonal matrix elements show Gaussian statistics together with a smooth function $f_O(\bar{E}, ω)$ that becomes nearly uniform in the large-$k_θ$ domain. Our findings show that even mean-ergodic and non-chaotic systems can exhibit \textit{strong} ETH. |
| title | Strong Eigenstate Thermalization from Mean-Ergodic Non-chaotic Dynamics |
| topic | Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2605.24510 |