A thermometric quantum Brownian model for low-temperature electronics
Abstract
Quantum mechanical models of resistors in quantum electronics are often based on the quantum optical master equation (QOME). The QOME overlooks several fundamental properties, limiting its ability to model certain superconducting phenomena. Here we present a thermometric model of resistors, adapted from the quantum Brownian motion equation (QBME), that facilitates practical use of the QBME in modelling dissipative electronics at low temperatures. We compare the thermometric QBME presented here with predictions of the QOME, in the simple example of a transmon shunted by a resistor. We show that both the QBME and QOME yield comparable but physically distinct predictions, and discuss potential experimental tests with which to discriminate their use in modelling practical experiments.
Related
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BibTeX
@misc{fung2026thermometric,
title = {{A thermometric quantum Brownian model for low-temperature electronics}},
author = {Harry T. H. Fung and Thomas M. Stace},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.26646},
eprint = {2608.26646},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.26646},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A thermometric quantum Brownian model for low-temperature electronics
AU - Harry T. H. Fung
AU - Thomas M. Stace
PY - 2026
DA - 2026/08/28
PB - arXiv
DO - 10.48550/arxiv.2608.26646
UR - https://arxiv.org/abs/2608.26646
AB - Quantum mechanical models of resistors in quantum electronics are often based on the quantum optical master equation (QOME). The QOME overlooks several fundamental properties, limiting its ability to model certain superconducting phenomena. Here we present a thermometric model of resistors, adapted from the quantum Brownian motion equation (QBME), that facilitates practical use of the QBME in modelling dissipative electronics at low temperatures. We compare the thermometric QBME presented here with predictions of the QOME, in the simple example of a transmon shunted by a resistor. We show that both the QBME and QOME yield comparable but physically distinct predictions, and discuss potential experimental tests with which to discriminate their use in modelling practical experiments.
ER -