标题： 量子涨落下的时空秩序命运 显示英文标题

标题： Fate of the spatial-temporal order under quantum fluctuation

摘要： 在之前的理论工作[arXiv:2205.01461]中，T. Esslinger小组提出了一种在由行波激光泵浦的腔体玻色系统中实现具有空间和时间双重周期性的时空晶格的方案。 然而，该预测是在平均场近似下做出的。 在本工作中，我们研究了超出平均场近似的动力学。 通过包括腔场的涨落，我们得到了一组更大的运动方程。 数值结果表明，在平均场层次上时空晶格会熔化，但在量子涨落中仍然存在。 显示英文摘要

摘要： 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.