Feshbach Projection Operator Partitioning for Quantum Open Systems: Stochastic Approach

TL;DR

This paper introduces a hybrid stochastic approach combining non-Markovian quantum state diffusion and Feshbach projection to precisely control and protect quantum system components from decoherence and leakage.

Contribution

It develops an exact one-dimensional stochastic master equation for non-Markovian systems, enabling efficient control beyond traditional second-order methods.

Findings

Efficient solution of the stochastic master equation demonstrated

Enhanced quantum state protection against decoherence shown

Applicable to various coherence control scenarios

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.