Non-Markovian quantum jumps

Abstract

Open quantum systems that interact with structured reservoirs exhibit non-Markovian dynamics. We present a quantum jump method for treating the dynamics of such systems. This approach is a generalization of the standard Monte Carlo Wave Function (MCWF) method for Markovian dynamics. The MCWF method identifies decay rates with jump probabilities and fails for non-Markovian systems where the time-dependent rates become temporarily negative. Our non-Markovian quantum jump (NMQJ) approach circumvents this problem and provides an efficient unravelling of the ensemble dynamics.

4 pages, 2 figures.V2: rewritten abstract and introduction, title modified. V3: published version, new example case with photonic band gap

References in corpus (3)

• Genuine quantum trajectories for non-Markovian processes
• Entanglement oscillations in non-Markovian quantum channels
• Zeno and anti-Zeno effects for quantum Brownian motion

Cited by in corpus (8)

• Open system dynamics with non-Markovian quantum jumps
• Structure of completely positive quantum master equations with memory kernel
• Pure-state quantum trajectories for general non-Markovian systems do not exist
• Stochastic jump processes for non-Markovian quantum dynamics
• Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
• Non-Markovian Quantum Jump with Generalized Lindblad Master Equation
• Entanglement oscillation and survival induced by non-Markovian decoherence dynamics of entangled squeezed-state
• Dependence of the decoherence of polarization states in phase-damping channels on the frequency spectrum envelope of photons