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arXiv · 2209.12408

Non-equilibrium dynamics of ultracold lattice bosons inside a cavity

Huan Wang·Xiayao He·Shuai Li·Hongrong Li·Bo Liu
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Abstract

We study the non-equilibrium quench dynamics crossing a continuous phase transition between the charge density wave (CDW) and supersolid (SS) phases of a bosonic lattice gas with cavity-mediated interactions. When changing the hopping amplitude in the Hamiltonian as a function of time, we investigate the scaling behavior of the correlation length and vortex density with respect to the quench time and find that there is a threshold of the quench rate separating two distinct scaling regimes. When slowly varying the system below that threshold, we find a power-law scaling as predicted by the Kibble-Zurek mechanism (KZM). While considering fast quench above that threshold, a deviation from the KZM prediction occurs, manifested by a saturation of the defect density. We further show that such distinct scaling behaviors during different dynamic procedures can be understood through comparing the relaxation time and the quench rate.

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Huan Wang, Xiayao He, Shuai Li, Hongrong Li, Bo Liu. 2022-09-26. Non-equilibrium dynamics of ultracold lattice bosons inside a cavity. https://arxiv.org/abs/2209.12408

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