Transition Path and Interface Sampling of Stochastic Schrödinger Dynamics

• URL: http://arxiv.org/abs/2411.00490v1
• Date: Fri, 01 Nov 2024 10:04:28 GMT
• Title: Transition Path and Interface Sampling of Stochastic Schrödinger Dynamics
• Authors: Robson Christie, Peter G. Bolhuis, David T. Limmer,
• Abstract summary: We study rare transitions in Markovian open quantum systems driven with Gaussian noise. We extend their domain to systems described by Schr"odinger equations. We note significant departures from the Arrhenius law at low temperatures due to the presence of an anti-Zeno effect.
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• Abstract: We study rare transitions in Markovian open quantum systems driven with Gaussian noise, applying transition path and interface sampling methods to trajectories generated by stochastic Schr\"odinger dynamics. Interface and path sampling offer insights into rare event transition mechanisms while simultaneously establishing a quantitative measure of the associated rate constant. Here, we extend their domain to systems described by stochastic Schr\"odinger equations. As a specific example, we explore a model of quantum Brownian motion in a quartic double well, consisting of a particle coupled to a Caldeira-Leggett oscillator bath, where we note significant departures from the Arrhenius law at low temperatures due to the presence of an anti-Zeno effect.

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