Ergodicity and hydrodynamics: from quantum to classical spin systems
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866908519060471808 |
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| author | Wang, Jiaozi Capizzi, Luca Poletti, Dario Mazza, Leonardo |
| author_facet | Wang, Jiaozi Capizzi, Luca Poletti, Dario Mazza, Leonardo |
| contents | We show that in classical spin systems the precise nature of the late-time hydrodynamic tails of the autocorrelation functions of a generic observable is determined by (i) the dynamical critical exponent and (ii) the equilibrium thermodynamic properties of the corresponding observable. We provide numerical results for one- and two-dimensional systems and present theoretical considerations that only rely on the notion of ergodicity. Our result extends to the classical framework the relaxation-overlap inequality, first introduced in Capizzi et al. Phys. Rev. X 15, 011059 (2025)] for quantum many-body systems satisfying the eigenstate thermalization hypothesis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04098 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ergodicity and hydrodynamics: from quantum to classical spin systems Wang, Jiaozi Capizzi, Luca Poletti, Dario Mazza, Leonardo Statistical Mechanics Quantum Gases Chaotic Dynamics Quantum Physics We show that in classical spin systems the precise nature of the late-time hydrodynamic tails of the autocorrelation functions of a generic observable is determined by (i) the dynamical critical exponent and (ii) the equilibrium thermodynamic properties of the corresponding observable. We provide numerical results for one- and two-dimensional systems and present theoretical considerations that only rely on the notion of ergodicity. Our result extends to the classical framework the relaxation-overlap inequality, first introduced in Capizzi et al. Phys. Rev. X 15, 011059 (2025)] for quantum many-body systems satisfying the eigenstate thermalization hypothesis. |
| title | Ergodicity and hydrodynamics: from quantum to classical spin systems |
| topic | Statistical Mechanics Quantum Gases Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2509.04098 |