Driven-dissipative Ising model: Dynamical crossover at weak dissipation
Driven-dissipative Ising model: Dynamical crossover at weak dissipation
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DOI：
10.1209/0295-5075/ac33cb
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发表时间：
2021-10
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影响因子：
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通讯作者：
Daniel A. Paz;M. Maghrebi
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文献类型：
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作者：
Daniel A. Paz;M. Maghrebi
与环境耦合的驱动量子系统通常在临界附近表现出有效的热行为和弛豫动力学。然而，由于相干动力学和弱耗散之间的竞争，在弱耗散极限下可能会出现不同的定性行为。在这项工作中，我们研究了在单个原子耗散存在下的驱动耗散无限范围Ising模型，这是一个在大失谐极限下从范式开放Dicke模型中出现的模型。研究表明，系统经历了从具有特征动力指数的松弛动力学到由弱耗散区指数控制的欠阻尼临界动力学的动力学交叉；不平衡：与平衡状态明显不同的行为最后，利用精确的图解表示，我们证明了到欠阻尼临界的动态交叉不是模型平均场性质的工件，即使在存在短程扰动的情况下也会持续存在。
Driven quantum systems coupled to an environment typically exhibit effectively thermal behavior with relaxational dynamics near criticality. However, a different qualitative behavior might be expected in the weakly dissipative limit due to the competition between coherent dynamics and weak dissipation. In this work, we investigate a driven-dissipative infinite-range Ising model in the presence of individual atomic dissipation, a model that emerges from the paradigmatic open Dicke model in the large-detuning limit. We show that the system undergoes a dynamical crossover from relaxational dynamics, with a characteristic dynamical exponent , to underdamped critical dynamics governed by the exponent in the weakly dissipative regime; a behavior that is markedly distinct from that of equilibrium. Finally, utilizing an exact diagrammatic representation, we demonstrate that the dynamical crossover to underdamped criticality is not an artifact of the mean-field nature of the model and persists even in the presence of short-range perturbations.