Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system

• URL: http://arxiv.org/abs/2601.05627v1
• Date: Fri, 09 Jan 2026 08:33:38 GMT
• Title: Chaos, thermalization and breakdown of quantum-classical correspondence in a collective many-body system
• Authors: Ángel L. Corps, Sebastián Gómez, Pavel Stránský, Armando Relaño, Pavel Cejnar,
• Abstract summary: We investigate thermalization and the quantum-classical correspondence in the fully-connected Bose-Hubbard model.<n>Our results reveal unexpectedly slow convergence to the classical limit, signaling robust finite-size effects in collective many-body dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate thermalization and the quantum-classical correspondence in the fully-connected 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 space. 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.

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