Strong Eigenstate Thermalization from Mean-Ergodic Non-chaotic Dynamics

• URL: http://arxiv.org/abs/2605.24510v1
• Date: Sat, 23 May 2026 10:48:29 GMT
• Title: Strong Eigenstate Thermalization from Mean-Ergodic Non-chaotic Dynamics
• Abstract summary: We show that textitstrong eigenstate thermalization hypothesis (ETH) is a quantum analog of ergodicity (or mean-ergodicity)<n>Our findings show that even mean-ergodic and non-chaotic systems can exhibit textitstrong ETH.
• Score: 0.6244816393907943
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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