Avoiding gauge ambiguities in cavity quantum electrodynamics

Abstract Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few low-lying energy eigenstates. This effect is particula...

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Autores principales:	Dominic M. Rouse, Brendon W. Lovett, Erik M. Gauger, Niclas Westerberg
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/e33d799fba8a4a428526482ba2baa269
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spelling	oai:doaj.org-article:e33d799fba8a4a428526482ba2baa2692021-12-02T12:11:28ZAvoiding gauge ambiguities in cavity quantum electrodynamics10.1038/s41598-021-83214-z2045-2322https://doaj.org/article/e33d799fba8a4a428526482ba2baa2692021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83214-zhttps://doaj.org/toc/2045-2322Abstract Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few low-lying energy eigenstates. This effect is particularly prominent in the ultra-strong coupling regime. Such ambiguities arise because transformations reshuffle the partition between light and matter degrees of freedom and so level truncation is a gauge dependent approximation. To avoid this gauge ambiguity, we redefine the electromagnetic fields in terms of potentials for which the resulting canonical momenta and Hamiltonian are explicitly unchanged by the gauge choice of this theory. Instead the light/matter partition is assigned by the intuitive choice of separating an electric field between displacement and polarisation contributions. This approach is an attractive choice in typical cavity quantum electrodynamics situations.Dominic M. RouseBrendon W. LovettErik M. GaugerNiclas WesterbergNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Dominic M. Rouse Brendon W. Lovett Erik M. Gauger Niclas Westerberg Avoiding gauge ambiguities in cavity quantum electrodynamics
description	Abstract Systems of interacting charges and fields are ubiquitous in physics. Recently, it has been shown that Hamiltonians derived using different gauges can yield different physical results when matter degrees of freedom are truncated to a few low-lying energy eigenstates. This effect is particularly prominent in the ultra-strong coupling regime. Such ambiguities arise because transformations reshuffle the partition between light and matter degrees of freedom and so level truncation is a gauge dependent approximation. To avoid this gauge ambiguity, we redefine the electromagnetic fields in terms of potentials for which the resulting canonical momenta and Hamiltonian are explicitly unchanged by the gauge choice of this theory. Instead the light/matter partition is assigned by the intuitive choice of separating an electric field between displacement and polarisation contributions. This approach is an attractive choice in typical cavity quantum electrodynamics situations.
format	article
author	Dominic M. Rouse Brendon W. Lovett Erik M. Gauger Niclas Westerberg
author_facet	Dominic M. Rouse Brendon W. Lovett Erik M. Gauger Niclas Westerberg
author_sort	Dominic M. Rouse
title	Avoiding gauge ambiguities in cavity quantum electrodynamics
title_short	Avoiding gauge ambiguities in cavity quantum electrodynamics
title_full	Avoiding gauge ambiguities in cavity quantum electrodynamics
title_fullStr	Avoiding gauge ambiguities in cavity quantum electrodynamics
title_full_unstemmed	Avoiding gauge ambiguities in cavity quantum electrodynamics
title_sort	avoiding gauge ambiguities in cavity quantum electrodynamics
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e33d799fba8a4a428526482ba2baa269
work_keys_str_mv	AT dominicmrouse avoidinggaugeambiguitiesincavityquantumelectrodynamics AT brendonwlovett avoidinggaugeambiguitiesincavityquantumelectrodynamics AT erikmgauger avoidinggaugeambiguitiesincavityquantumelectrodynamics AT niclaswesterberg avoidinggaugeambiguitiesincavityquantumelectrodynamics
_version_	1718394662977273856

Avoiding gauge ambiguities in cavity quantum electrodynamics

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