Quantum Trajectories for Squeezed Input Processes: Explicit Solutions

Abstract

We consider the quantum (trajectories) filtering equation for the case when the system is driven by Bose field inputs prepared in an arbitrary non-zero mean Gaussian state. The a posteriori evolution of the system is conditioned by the results of a single or double homodyne measurements. The system interacting with the Bose field is a single cavity mode taken initially in a Gaussian state. We show explicit solutions using the method of characteristic functions to the filtering equations exploiting the linear Gaussian nature of the problem.

15 pages, 3 figures

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Cited by in corpus (3)

• A pedagogical introduction to continuously monitored quantum systems and measurement-based feedback
• Master equations and quantum trajectories for squeezed wave packets
• Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state