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Bibliographic Details
Main Authors: Altinisik, Sinan, Lutz, Eric
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.17207
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author Altinisik, Sinan
Lutz, Eric
author_facet Altinisik, Sinan
Lutz, Eric
contents We derive a Markovian master equation for a linearly driven dissipative quantum harmonic oscillator, valid for generic driving beyond the adiabatic limit. We solve this quantum master equation for arbitrary Gaussian initial states and investigate its departure from the adiabatic master equation in the regime of fast driving. We concretely examine the behavior of dynamical variables, such as position and momentum, as well as of thermodynamic quantities, such as energy and entropy. We additionally study the influence of the nonequilibrium driving on the quantum coherence of the oscillator in the instantaneous energy eigenbasis. We further analyze the approach to the adiabatic limit and the relaxation to the instantaneous steady state as a function of the driving speed.
format Preprint
id arxiv_https___arxiv_org_abs_2503_17207
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Nonadiabatic master equation for a linearly driven harmonic oscillator
Altinisik, Sinan
Lutz, Eric
Quantum Physics
We derive a Markovian master equation for a linearly driven dissipative quantum harmonic oscillator, valid for generic driving beyond the adiabatic limit. We solve this quantum master equation for arbitrary Gaussian initial states and investigate its departure from the adiabatic master equation in the regime of fast driving. We concretely examine the behavior of dynamical variables, such as position and momentum, as well as of thermodynamic quantities, such as energy and entropy. We additionally study the influence of the nonequilibrium driving on the quantum coherence of the oscillator in the instantaneous energy eigenbasis. We further analyze the approach to the adiabatic limit and the relaxation to the instantaneous steady state as a function of the driving speed.
title Nonadiabatic master equation for a linearly driven harmonic oscillator
topic Quantum Physics
url https://arxiv.org/abs/2503.17207