Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model

• URL: http://arxiv.org/abs/2602.00369v1
• Date: Fri, 30 Jan 2026 22:32:01 GMT
• Title: Dynamical witnesses and universal behavior across chaos and non-ergodicity in the tilted Bose-Hubbard model
• Abstract summary: Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables.<n>We analyze the time evolution of the survival probability, the single-site entanglement entropy, and the half-chain imbalance.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum chaos in isolated quantum systems is intimately linked to thermalization and the rapid relaxation of observables. Although the spectral properties of the chaotic phase in the tilted Bose-Hubbard model have been well characterized, the corresponding dynamical signatures across the transition to regularity remain less explored . In this work, we investigate this transition by analyzing the time evolution of the survival probability, the single-site entanglement entropy, and the half-chain imbalance. Our results reveal a clear hierarchy in the sensitivity of these observables: the relaxation value of the entanglement entropy varies smoothly as a function of the Hamiltonian parameters across the chaos-regular transition, while the imbalance exhibits a more pronounced distinction. Most notably, the survival probability emerges as the most robust indicator of the transition between chaos and regularity. When appropriately scaled, all three observables converge onto a common behavior as a function of the Hamiltonian parameters for different numbers of sites and bosons,enabling a universal characterization of the transition between chaotic and regular dynamics.

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