论文标题
具有量子光学实现的耗散量子动力学中的动态相变
Dynamical phase transitions in dissipative quantum dynamics with quantum optical realization
论文作者
论文摘要
我们在驱动和阻尼的DICKE模型中研究动力学相变(DPT),例如,可以通过驱动的原子集合集体耦合到阻尼腔模式。这些DPT的特征是某些可观察到的非分析性,主要是时间的发展和初始状态的重叠。即使动力学是耗散的,这种现象也会用于广泛的参数,并且不需要微调。为了关注“原子”的状态,我们能够渐近地评估相关重叠的确切路径积分表示。然后,DPT是通过最小化某个作用函数而产生的,这与经典随机过程的大偏差理论有关。从更一般的角度来看,在被考虑的系统中,非分析率通常在状态的Fock空间表示中出现。最后,我们提出了一个方案,该方案允许在腔体QED设置中测量DPT。
We study dynamical phase transitions (DPT) in the driven and damped Dicke model, realizable for example by a driven atomic ensemble collectively coupled to a damped cavity mode. These DPTs are characterized by non-analyticities of certain observables, primarily the overlap of time evolved and initial state. Even though the dynamics is dissipative, this phenomenon occurs for a wide range of parameters and no fine-tuning is required. Focusing on the state of the 'atoms' in the limit of a bad cavity, we are able to asymptotically evaluate an exact path integral representation of the relevant overlaps. The DPTs then arise by minimization of a certain action function, which is related to the large deviation theory of a classical stochastic process. From a more general viewpoint, in the considered system, non-analyticities emerge generically in a Fock space representation of the state. Finally, we present a scheme which allows a measurement of the DPT in a cavity-QED setup.