Quantum filtering equations for system driven by non-classical fields

Abstract

Using Gardiner and Collet's input-output model and the concept of cascade system, we determine the filtering equation for a quantum system driven by chosen non-classical states of light. The quantum system and electromagnetic field are described by making use of quantum stochastic unitary evolution. We consider two examples of the non-classical states of the field: a combination of vacuum and single photon states and a mixture of two coherent states. We describe the stochastic evolution conditioned on the results of the photon counting and quadrature measurements.

4 figures, 21 pages, updated 17.05.2018

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Cited by in corpus (4)

• Quantum trajectories for a system interacting with environment in N-photon state
• Quantum trajectories for environment in superposition of coherent states
• Photon counting probabilities of the output field for a single-photon input
• Stochastic approach to evolution of a quantum system interacting with a wave packet in squeezed number state