Connecting two jumplike unravelings for non-Markovian open quantum 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.

11 pages, 7 figures

References in corpus (10)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Non-Markovian quantum jumps
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Genuine quantum trajectories for non-Markovian processes
• Continuous variable quantum key distribution in non-Markovian channels
• Open system dynamics with non-Markovian quantum jumps
• Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
• Non-Markovian behavior of small and large complex quantum systems
• Stochastic jump processes for non-Markovian quantum dynamics
• Information Flow, Non-Markovianity and Geometric Phases

Cited by in corpus (3)

• Entanglement trapping in a non-stationary structured reservoir
• Local in time master equations with memory effects: Applicability and interpretation
• Non-Markovian waiting time distribution