Unraveling the Large Deviation Statistics of Markovian Open Quantum Systems
Unraveling the Large Deviation Statistics of Markovian Open Quantum Systems
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DOI：
10.1103/physrevlett.122.130605
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发表时间：
2019-04-05
影响因子：
8.6
通讯作者：
Garrahan, Juan P.
中科院分区：
文献类型：
--
作者：
Carollo, Federico;Jack, Robert L.;Garrahan, Juan P.
We analyze dynamical large deviations of quantum trajectories in Markovian open quantum systems in their full generality. We derive a quantum level-2.5 large deviation principle for these systems, which describes the joint fluctuations of time-averaged quantum jump rates and of the time-averaged quantum state for long times. Like its level-2.5 counterpart for classical continuous-time Markov chains (which it contains as a special case), this description is both explicit and complete, as the statistics of arbitrary time-extensive dynamical observables can be obtained by contraction from the explicit level-2.5 rate functional we derive. Our approach uses an unraveled representation of the quantum dynamics which allows these statistics to be obtained by analyzing a classical stochastic process in the space of pure states. For quantum reset processes we show that the unraveled dynamics is semi-Markovian and derive bounds on the asymptotic variance of the number of quantum jumps which generalize classical thermodynamic uncertainty relations. We finish by discussing how our level-2.5 approach can be used to study large deviations of nonlinear functions of the state, such as measures of entanglement.
