Feshbach Projection Operator Partitioning for Quantum Open Systems: Stochastic Approach

Abstract

Dynamics of a state of interest coupled to a non-Markovian environment is studied for the first time by concatenating the non-Markovian quantum state diffusion (QSD) equation and the Feshbach projection operator partitioning technique. An exact one-dimensional stochastic master equation is derived as a general tool for controlling an arbitrary component of the system. We show that the exact one-dimensional stochastic master equation can be efficiently solved beyond the widely adapted second-order master equations. The generality and applicability of this hybrid approach is justified and exemplified by several coherence control problems concerning quantum state protection against leakage and decoherence.

5 pages, 3 figures

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Cited by in corpus (9)

• Non-Markovian quantum input-output networks
• Nonperturbative Leakage Elimination Operators and Control of a Three-Level System
• Feshbach projection formalism for open quantum systems
• Perturbation Methods for Non-Markovian Quantum State Diffusion Equation
• Stochastic Feshbach Projection for the Dynamics of Open Quantum Systems
• Non-perturbative Dynamical Decoupling Control: A Spin Chain Model
• Entanglement dynamics of an open moving-biparticle system driven by classical-field
• Quantum speed limit from a quantum-state-diffusion method
• Control of decoherence with no control