Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914501305040896 |
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| author | Corps, Ángel L. Gómez, Sebastián Stránský, Pavel Relaño, Armando Cejnar, Pavel |
| author_facet | Corps, Ángel L. Gómez, Sebastián Stránský, Pavel Relaño, Armando Cejnar, Pavel |
| contents | We investigate thermalization and the quantum-classical correspondence in the collective Bose-Hubbard model, focusing on the four-site case. Our analysis of the classical phase-space structure and its excited-state quantum phase transitions leads us to three dynamical regimes: symmetry-breaking low-energy states, an intermediate region where quantum and classical equilibrium states markedly disagree, and a high-energy regime with restored correspondence. The observed classical intermittency above the first excited-state quantum phase transition contrasts with quantum dynamics, which remains trapped in symmetry-breaking sectors despite the existence of a classically connected phase. This mismatch originates from the population of imbalance-carrying eigenstates and persists even for relatively large number of particles. Our results reveal unexpectedly slow convergence to the classical limit, signaling robust finite-size effects in collective many-body dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05627 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system Corps, Ángel L. Gómez, Sebastián Stránský, Pavel Relaño, Armando Cejnar, Pavel Quantum Physics Statistical Mechanics We investigate thermalization and the quantum-classical correspondence in the collective Bose-Hubbard model, focusing on the four-site case. Our analysis of the classical phase-space structure and its excited-state quantum phase transitions leads us to three dynamical regimes: symmetry-breaking low-energy states, an intermediate region where quantum and classical equilibrium states markedly disagree, and a high-energy regime with restored correspondence. The observed classical intermittency above the first excited-state quantum phase transition contrasts with quantum dynamics, which remains trapped in symmetry-breaking sectors despite the existence of a classically connected phase. This mismatch originates from the population of imbalance-carrying eigenstates and persists even for relatively large number of particles. Our results reveal unexpectedly slow convergence to the classical limit, signaling robust finite-size effects in collective many-body dynamics. |
| title | Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2601.05627 |