Connecting two jumplike unravelings for non-Markovian open quantum systems

TL;DR

This paper explores the relationship between two jump-like unraveling methods for non-Markovian quantum systems, revealing how their dynamics are connected through probability currents and decay rates in quantum optical models.

Contribution

It establishes a link between the non-Markovian quantum jump (NMQJ) method and the property state method, enhancing understanding of their interplay in quantum dynamics.

Findings

Connections between NMQJ and GAW methods demonstrated

Probability currents relate to decay rates and jump rates

Insights provided through simple quantum optical systems

Abstract

The development and use of Monte Carlo algorithms plays a visible role in the study of non-Markovian quantum dynamics due to the provided insight and powerful numerical methods for solving the system dynamics. In the Markovian case, the connections between the various types of methods are fairly well-understood while for non-Markovian case there has so far been only a few studies. We focus here on two jumplike unravelings of non-Markovian dynamics, the non-Markovian quantum jump (NMQJ) method and the property state method by Gambetta, Askerud, and Wiseman (GAW). The results for simple quantum optical systems illustrate the connections between the realizations of the two methods and also highlight how the probability currents between the system and environment, or between the property states of the total system, associate to the decay rates of time-local master equations, and consequently to the jump rates of the NMQJ method.