Quantum Chaos, Thermalization, and Non-locality

• URL: http://arxiv.org/abs/2508.19556v1
• Date: Wed, 27 Aug 2025 04:08:35 GMT
• Title: Quantum Chaos, Thermalization, and Non-locality
• Authors: Masataka Matsumoto, Shuta Nakajima, Masahiro Nozaki, Ryosuke Yoshii,
• Abstract summary: We numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability.<n>This non-local and integrable Hamiltonian is constructed by combining two types of integrable Hamiltonians.
• Score: 0.29748898344267777
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability. This non-local and integrable Hamiltonian is constructed by combining two types of integrable Hamiltonians. From the time dependence of entanglement entropy and mutual information, we find that non-locality can evolve the system into the typical state. On the other hand, the time dependence of logarithmic negativity shows that the non-locality can destroy the quantum correlation. These findings suggest that the quantum thermalization induced by the non-local Hamiltonian does not require the quantum chaoticity of the system.

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