Making rare events typical in Markovian open quantum systems
Making rare events typical in Markovian open quantum systems
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DOI：
10.1103/physreva.98.010103
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发表时间：
2018-07-10
影响因子：
2.9
通讯作者：
Perez-Espigares, Carlos
中科院分区：
文献类型：
--
作者：
Carollo, Federico;Garrahan, Juan P.;Perez-Espigares, Carlos
大的动力学涨落--在长时间内持续的动力学的非典型实现--在决定经典和量子非平衡系统的集体行为的性质方面可以发挥基本的作用。然而，罕见的动力学波动发生的概率往往在其时间范围内呈指数衰减，因此很难直接观察到它们并在实验中加以利用。在这里，使用从动态大偏差的方法，我们解释如何罕见的动力学给定的（马尔可夫）开放量子系统总是可以从一个替代（也马尔可夫）系统的典型实现。这两组实现之间的对应关系可以用来“按需”设计和控制具有所需统计数据的开放量子系统。“我们通过研究一个三量子比特系统的光子发射行为来说明这些想法，该系统在活跃和不活跃的动力学阶段之间显示出急剧的动力学交叉。
Large dynamical fluctuations-atypical realizations of the dynamics sustained over long periods of time-can play a fundamental role in determining the properties of collective behavior of both classical and quantum nonequilibrium systems. Rare dynamical fluctuations, however, occur with a probability that often decays exponentially in their time extent, thus making them difficult to be directly observed and exploited in experiments. Here, using methods from dynamical large deviations, we explain how rare dynamics of a given (Markovian) open quantum system can always be obtained from the typical realizations of an alternative (also Markovian) system. The correspondence between these two sets of realizations can be used to engineer and control open quantum systems with a desired statistics "on demand." We illustrate these ideas by studying the photon emission behavior of a three-qubit system which displays a sharp dynamical crossover between active and inactive dynamical phases.