Transition Path and Interface Sampling of Stochastic Schrödinger Dynamics

Fuente: arXiv
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Autores principales: Christie, Robson, Bolhuis, Peter G., Limmer, David T.
Formato: Preprint
Publicado: 2024
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author Christie, Robson
Bolhuis, Peter G.
Limmer, David T.
author_facet Christie, Robson
Bolhuis, Peter G.
Limmer, David T.
contents 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 Schrödinger 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 Schrödinger 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.
format Preprint
id arxiv_https___arxiv_org_abs_2411_00490
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Transition Path and Interface Sampling of Stochastic Schrödinger Dynamics
Christie, Robson
Bolhuis, Peter G.
Limmer, David T.
Quantum Physics
Chemical Physics
Computational Physics
82C26
G.1.0; G.3; I.6.8
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 Schrödinger 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 Schrödinger 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.
title Transition Path and Interface Sampling of Stochastic Schrödinger Dynamics
topic Quantum Physics
Chemical Physics
Computational Physics
82C26
G.1.0; G.3; I.6.8
url https://arxiv.org/abs/2411.00490