Stochastic Master Equations in Thermal Environment

Abstract

We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. At zero temperature it is well-known that one obtains stochastic differential equations of jump-diffusion type. At strictly positive temperature, we show that only pure diffusion type equations are relevant.

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• Measurements continuous in time and a posteriori states in quantum
• Quantum filtering: a reference probability approach
• From n+1-level atom chains to n-dimensional noises

Cited by in corpus (1)

• Return to equilibrium for some quantum trajectories