Connecting two jumplike unravelings for non-Markovian open quantum systems

: Luoma K, Suominen KA, Piilo J

Publisher: AMER PHYSICAL SOC

: 2011

: Physical Review A

: PHYSICAL REVIEW A

: PHYS REV A

: ARTN 032113

: 3

: 84

: 3

: 10

: 1050-2947

DOI: https://doi.org/10.1103/PhysRevA.84.032113

: https://arxiv.org/abs/1106.3173

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 the 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, are associated with the decay rates of time-local master equations and, consequently, with the jump rates of the NMQJ method.