Non-Markovian Quantum Jump with Generalized Lindblad Master Equation

TL;DR

This paper extends the quantum jump method to non-Markovian systems described by a generalized Lindblad master equation, enabling efficient simulation of complex dissipative quantum dynamics.

Contribution

It introduces a generalized quantum jump approach for non-Markovian dynamics, expanding the applicability of the Monte Carlo wave function method.

Findings

The method accurately reproduces non-Markovian dissipative dynamics.

It demonstrates computational efficiency over traditional approaches.

The approach is validated with two illustrative examples.

Abstract

The Monte Carlo wave function method or the quantum trajectory/jump approach is a powerful tool to study dissipative dynamics governed by the Markovian master equation, in particular for high-dimensional systems and when it is difficult to simulate directly. In this paper, we extend this method to the non-Markovian case described by the generalized Lindblad master equation. Two examples to illustrate the method are presented and discussed. The results show that the method can correctly reproduce the dissipative dynamics for the system. The difference between this method and the traditional Markovian jump approach and the computational efficiency of this method are also discussed.