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    Anomalous thermodynamics of lattice Bose gases in optical cavities

    Liang He

    Su Yi*

    • Institute of Fundamental Physics and Quantum Technology & School of Physics Science and Technology, Ningbo University, Ningbo 315211, China

    • *Contact author: yisu@nbu.edu.cn

    Phys. Rev. A 113, 063313 – Published 10 June, 2026

    DOI: https://doi.org/10.1103/bxgg-6k1x

    Abstract

    We investigate the thermodynamic properties of lattice Bose gases in optical cavities in the Mott-insulator limit. We find that the system assumes anomalous thermodynamic behavior that can be traced back to the breaking of fundamental additivity by its infinite-long-range interaction. Specifically, the system shows striking ensemble inequivalence between the canonical ensemble and the grand canonical one, sharply manifesting in the distinct anomalous structure of the thermodynamic phase diagram in the canonical ensemble. In particular, in the temperature regime at around half of the on-site energy, the system manifests negative compressibility and anomalous reentrant phase transitions where the ordered charge density wave phase revives from the homogenous phase upon increasing the temperature. Direct experimental observation of the anomalous behavior can be realized in the current experiments with well-controlled total particle-number fluctuations.

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