Non-Markovian waiting time distribution

TL;DR

This paper derives an exact analytical waiting time distribution for non-Markovian quantum systems, extending quantum trajectory methods to better understand quantum jump timings in complex open quantum systems.

Contribution

It introduces a novel analytical approach to compute WTDs in non-Markovian quantum dynamics, expanding the tools available for quantum system analysis.

Findings

Derived an exact analytical WTD for non-Markovian systems

Demonstrated construction of WTD for quantum optical systems

Extended quantum trajectory methods to non-Markovian regimes

Abstract

Simulation methods based on stochastic realizations of state vector evolutions are commonly used tools to solve open quantum system dynamics, both in the Markovian and non-Markovian regime. Here, we address the question of waiting time distribution (WTD) of quantum jumps for non-Markovian systems. We generalize Markovian quantum trajectory methods in the sense of deriving an exact analytical WTD for non-Markovian quantum dynamics and show explicitly how to construct this distribution for certain commonly used quantum optical systems.