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arxiv: 0706.4438 · v3 · submitted 2007-06-29 · 🪐 quant-ph

Non-Markovian quantum jumps

classification 🪐 quant-ph
keywords dynamicsnon-markovianquantumjumpmethodsystemsapproachmcwf
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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.

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  1. Stochastic unravelings for Heisenberg picture and trace-nonpreserving dynamics

    quant-ph 2025-11 unverdicted novelty 6.0

    The paper introduces a general framework extending piecewise-deterministic unravelings to arbitrary trace-nonpreserving master equations requiring only positivity and Hermiticity of the dynamics.