Non-Markovian quantum jumps

TL;DR

This paper introduces a non-Markovian quantum jump method that generalizes the Monte Carlo Wave Function approach to handle systems with structured reservoirs and negative decay rates, enabling efficient simulation of non-Markovian quantum dynamics.

Contribution

The authors develop a novel non-Markovian quantum jump method that extends existing techniques to accurately simulate non-Markovian open quantum systems with structured environments.

Findings

Successfully generalizes MCWF to non-Markovian systems

Handles temporarily negative decay rates effectively

Provides an efficient way to simulate non-Markovian dynamics

Abstract

Open quantum systems that interact with structured reservoirs exhibit non-Markovian dynamics. We present a quantum jump method for treating the dynamics of such systems. This approach is a generalization of the standard Monte Carlo Wave Function (MCWF) method for Markovian dynamics. The MCWF method identifies decay rates with jump probabilities and fails for non-Markovian systems where the time-dependent rates become temporarily negative. Our non-Markovian quantum jump (NMQJ) approach circumvents this problem and provides an efficient unravelling of the ensemble dynamics.