Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis
Abstract
We provide a comprehensive study of heat transport in periodically driven quantum systems using a master equation approach in the Floquet basis. Starting from the exact, formal expressions, we obtain, within the weak coupling regime of system-bath coupling, a generalized Floquet-Redfield master equation which does not involve Markovian or secular approximations and the corresponding formula for the heat current. From this approach we derive the standard, full secular master equation. Moreover, we present a master equation for the driven spin-boson model in the instantaneous eigenbasis. The different approaches are compared by applying them to the steady-state heat transport in the driven spin-boson model. An analytical solution is provided for the master equation in the instantaneous eigenbasis which reproduces the numerics and explains the features of the heat current as a function of the drive parameters.
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BibTeX
@misc{magazzu2026heat,
title = {{Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis}},
author = {Luca Magazzù and Christoforus Dimas Satrya and Aleksandr S. Strelnikov and Bayan Karimi and Jukka P. Pekola},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.13308},
eprint = {2608.13308},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13308},
}
RIS
TY - UNPB
TI - Heat transport in driven quantum systems: Comparison between the Floquet-Redfield equation and the master equation in the instantaneous eigenbasis
AU - Luca Magazzù
AU - Christoforus Dimas Satrya
AU - Aleksandr S. Strelnikov
AU - Bayan Karimi
AU - Jukka P. Pekola
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2608.13308
UR - https://arxiv.org/abs/2608.13308
AB - We provide a comprehensive study of heat transport in periodically driven quantum systems using a master equation approach in the Floquet basis. Starting from the exact, formal expressions, we obtain, within the weak coupling regime of system-bath coupling, a generalized Floquet-Redfield master equation which does not involve Markovian or secular approximations and the corresponding formula for the heat current. From this approach we derive the standard, full secular master equation. Moreover, we present a master equation for the driven spin-boson model in the instantaneous eigenbasis. The different approaches are compared by applying them to the steady-state heat transport in the driven spin-boson model. An analytical solution is provided for the master equation in the instantaneous eigenbasis which reproduces the numerics and explains the features of the heat current as a function of the drive parameters.
ER -