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

Published version
Peer-reviewed

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Authors

Garrahan, Juan P. 

Abstract

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.

Description

Funder: Carl-Zeiss-Stiftung; doi: http://dx.doi.org/10.13039/100007569


Funder: German Scholars Organization e.V.

Keywords

Article

Journal Title

Journal of Statistical Physics

Conference Name

Journal ISSN

0022-4715
1572-9613

Volume Title

184

Publisher

Springer US
Sponsorship
Deutsche Forschungsgemeinschaft (435696605)
Engineering and Physical Sciences Research Council (EP/R04421X/1)