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Correlation functions for realistic continuous quantum measurement

Pierre Guilmin
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Pierre Rouchon

Abstract

We propose a self-contained and accessible derivation of a formula for the n-point correlation functions of the signal measured when continuously observing a quantum system. The expression depends on the initial quantum state and on the Stochastic Master Equation (SME) governing the dynamics. This derivation applies to both jump and diffusive evolutions and takes into account common imperfections of realistic measurement devices. We show how these correlations can be efficiently computed numerically for commonly filtered and integrated signals available in practice.
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Dates and versions

hal-03882949 , version 1 (02-12-2022)

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Pierre Guilmin, Pierre Rouchon, Antoine Tilloy. Correlation functions for realistic continuous quantum measurement. 2022. ⟨hal-03882949⟩
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