General-dyne unravelling of a thermal master equation

Abstract

We analyse the unravelling of the quantum optical master equation at finite temperature due to direct, continuous, general-dyne detection of the environment. We first express the general-dyne Positive Operator Valued Measure (POVM) in terms of the eigenstates of a non-hermitian operator associated to the general-dyne measurement. Then, we derive the stochastic master equation obtained by considering the interaction between the system and a reservoir at thermal equilibrium, which is measured according to the POVM previously determined. Finally, we present a feasible measurement scheme which reproduces general-dyne detection for any value of the parameter characterising the stochastic master equation.

6 pages, 1 figure; v2: published version in "Russian Journal of Mathematical Physics - Special Issue dedicated to Viacheslav Belavkin"; Ref. [19] added in the arXiv version but missing in the journal version

References in corpus (6)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Optomechanics - throwing a glance
• Optimal control of entanglement via quantum feedback
• Feedback control in quantum optics: an overview of experimental breakthroughs and areas of application
• On the optimal feedback control of linear quantum systems in the presence of thermal noise
• Distributed entanglement generation between continuous-mode Gaussian fields with measurement-feedback enhancement

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