Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion

Carollo, Federico; Garrahan, Juan P.; Jack, Robert L.

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 Schrödinger equation and we discuss connections of these functionals to optimal control theory.

• Journal Article Type: Article
• Acceptance Date: Jun 29, 2021
• Online Publication Date: Jul 9, 2021
• Publication Date: 2021-07
• Deposit Date: Aug 5, 2021
• Publicly Available Date: Aug 5, 2021
• Journal: Journal of Statistical Physics
• Print ISSN: 0022-4715
• Electronic ISSN: 1572-9613
• Publisher: Springer Science and Business Media LLC
• Peer Reviewed: Peer Reviewed
• Volume: 184
• Issue: 1
• Article Number: 13
• DOI: https://doi.org/10.1007/s10955-021-02799-x
• Keywords: Mathematical Physics; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/5955871
• Publisher URL: https://link.springer.com/article/10.1007%2Fs10955-021-02799-x