Jump probabilities in the non-Markovian quantum jump method

TL;DR

This paper analyzes the dynamics of non-Markovian open quantum systems, deriving jump probabilities for the non-Markovian quantum jump method by combining deterministic evolution with a probability density functional approach.

Contribution

It provides a theoretical derivation of jump probabilities in the non-Markovian quantum jump method, enhancing understanding of non-Markovian quantum dynamics.

Findings

Derivation of jump probabilities for non-Markovian systems

Connection between deterministic evolution and probability density functional

Improved framework for simulating non-Markovian quantum processes

Abstract

The dynamics of a non-Markovian open quantum system described by a general time-local master equation is studied. The propagation of the density operator is constructed in terms of two processes: (i) deterministic evolution and (ii) evolution of a probability density functional in the projective Hilbert space. The analysis provides a derivation for the jump probabilities used in the recently developed non-Markovian quantum jump (NMQJ) method (Piilo et al 2008 Phys. Rev. Lett. 100 180402).