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    Fate of the spatial-temporal order under quantum fluctuation

    Xiaotian Nie1 and Wei Zheng2,3,1,*

    • *Contact author: zw8796@ustc.edu.cn

    Phys. Rev. A 111, 063313 – Published 23 June, 2025

    DOI: https://doi.org/10.1103/hlwp-41yr

    Abstract

    Quantum fluctuations are fundamental in many-body physics, often altering the nature of quantum phases beyond mean-field predictions. In this work, we explore their impact on a spatial-temporal ordered phase in a cavity-boson system, a phase previously predicted within the mean-field framework. By incorporating higher-order quantum fluctuations of the cavity field, we derive a set of quantum kinetic equations and numerically analyze the system's dynamics. Our results show that while mean-field spatial-temporal order vanishes over time, oscillatory behavior persists at the level of quantum fluctuations, demonstrating that the phase survives in a modified form. This study underscores the importance of quantum fluctuations in nonequilibrium quantum systems and reveals the limitations of the mean-field approach in predicting the stability of complex quantum phases.

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