Feynman, Wigner, and Hamiltonian Structures Describing the Dynamics of Open Quantum Systems

Abstract

This paper discusses several methods for describing the dynamics of open quantum systems, where the environment of the open system is infinite-dimensional. These are purifications, phase space forms, master equation and liouville equation forms. The main contribution is in using Feynman-Kac formalisms to describe the infinite-demsional components.

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• A Phase-space Formulation of the Belavkin-Kushner-Stratonovich Filtering Equation for Nonlinear Quantum Stochastic Systems
• Invariant states of linear quantum stochastic systems under Weyl perturbations of the Hamiltonian and coupling operators