Fate of the spatial-temporal order under quantum fluctuation

Xiaotian Nie; Wei Zheng

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arXiv · 2411.04687

Fate of the spatial-temporal order under quantum fluctuation

Xiaotian Nie·Wei Zheng

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Abstract

In a previous theoretical work [arXiv:2205.01461], T. Esslinger group proposed a scheme to realize a spatial-temporal lattice, which possesses dual periodicity on space and time, in a cavity-boson system pumped by a travelling wave laser. However, the prediction was made under the mean-field approximation. In this work, we investigate the dynamics beyond mean-field approximation. By including the fluctuation of the cavity field, we obtain a larger set of equations of motion. Numerical results show that the spatial-temporal lattice is melted in the mean-field level but survives in the quantum fluctuation.

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Xiaotian Nie, Wei Zheng. 2024-11-07. Fate of the spatial-temporal order under quantum fluctuation. https://arxiv.org/abs/2411.04687

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