Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion
Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion
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DOI：
10.1007/s10955-021-02799-x
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发表时间：
2021-07-01
影响因子：
1.6
通讯作者：
Jack, Robert L.
中科院分区：
文献类型：
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作者：
Carollo, Federico;Garrahan, Juan P.;Jack, Robert L.
我们考虑量子随机过程，并讨论了2.5级大偏差形式主义提供了一个明确的和完整的表征波动的时间平均量，在大的时间限制。我们分析两类量子随机动力学，在这个框架内。第一类是与光子探测相关的量子跃迁轨迹，第二类是与零差探测相关的量子态扩散。对于这两个过程，我们提出了2.5级功能从相应的量子随机薛定谔方程，我们讨论这些泛函的最优控制理论的连接。
We consider quantum stochastic processes and discuss a level 2.5 large deviation formalism providing an explicit and complete characterisation of fluctuations of time-averaged quantities, in the large-time limit. We analyse two classes of quantum stochastic dynamics, within this framework. The first class consists of the quantum jump trajectories related to photon detection; the second is quantum state diffusion related to homodyne detection. For both processes, we present the level 2.5 functional starting from the corresponding quantum stochastic Schrodinger equation and we discuss connections of these functionals to optimal control theory.