Quantum Chaos, Thermalization, and Non-locality
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914008803573760 |
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| author | Matsumoto, Masataka Nakajima, Shuta Nozaki, Masahiro Yoshii, Ryosuke |
| author_facet | Matsumoto, Masataka Nakajima, Shuta Nozaki, Masahiro Yoshii, Ryosuke |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_19556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Chaos, Thermalization, and Non-locality Matsumoto, Masataka Nakajima, Shuta Nozaki, Masahiro Yoshii, Ryosuke High Energy Physics - Theory Statistical Mechanics Chaotic Dynamics Quantum Physics 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. |
| title | Quantum Chaos, Thermalization, and Non-locality |
| topic | High Energy Physics - Theory Statistical Mechanics Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2508.19556 |