Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion

• URL: http://arxiv.org/abs/2101.04138v2
• Date: Wed, 7 Jul 2021 17:08:26 GMT
• Title: Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion
• Authors: Federico Carollo, Juan P. Garrahan, Robert L. Jack
• Abstract summary: We consider quantum processes and discuss a level 2.5 large deviation formalism. We analyse two classes of quantum dynamics, within this framework. For both processes, we present the level 2.5 functional starting from the corresponding quantum Schr"odinger equation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 Schr\"odinger equation and we discuss connections of these functionals to optimal control theory.

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