Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

Abstract The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of...

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Autores principales:	Adil A. Gangat, Ian P. McCulloch, Ying-Jer Kao
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2018
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/1fc6fd7a089c471fa90f43c9cbdb17de
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spelling	oai:doaj.org-article:1fc6fd7a089c471fa90f43c9cbdb17de2021-12-02T15:09:02ZSymmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems10.1038/s41598-018-21845-52045-2322https://doaj.org/article/1fc6fd7a089c471fa90f43c9cbdb17de2018-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-21845-5https://doaj.org/toc/2045-2322Abstract The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of the dependence of the non-equilibrium steady states of this model on the signs of these parameters. Due to a symmetry in the Lindblad master equation, we find that simultaneously changing the sign of the interaction energies, hopping energies, and chemical potentials leaves the local boson number distribution and inter-site number correlations invariant, and the steady-state complex conjugated. This shows that all driven-dissipative phenomena of interacting bosons described by the Lindblad master equation, such as “fermionization” and “superbunching”, can equivalently occur with attractive or repulsive interactions.Adil A. GangatIan P. McCullochYing-Jer KaoNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-6 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Adil A. Gangat Ian P. McCulloch Ying-Jer Kao Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
description	Abstract The driven-dissipative Bose-Hubbard model can be experimentally realized with either negative or positive onsite detunings, inter-site hopping energies, and onsite interaction energies. Here we use one-dimensional matrix product density operators to perform a fully quantum investigation of the dependence of the non-equilibrium steady states of this model on the signs of these parameters. Due to a symmetry in the Lindblad master equation, we find that simultaneously changing the sign of the interaction energies, hopping energies, and chemical potentials leaves the local boson number distribution and inter-site number correlations invariant, and the steady-state complex conjugated. This shows that all driven-dissipative phenomena of interacting bosons described by the Lindblad master equation, such as “fermionization” and “superbunching”, can equivalently occur with attractive or repulsive interactions.
format	article
author	Adil A. Gangat Ian P. McCulloch Ying-Jer Kao
author_facet	Adil A. Gangat Ian P. McCulloch Ying-Jer Kao
author_sort	Adil A. Gangat
title	Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
title_short	Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
title_full	Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
title_fullStr	Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
title_full_unstemmed	Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
title_sort	symmetry between repulsive and attractive interactions in driven-dissipative bose-hubbard systems
publisher	Nature Portfolio
publishDate	2018
url	https://doaj.org/article/1fc6fd7a089c471fa90f43c9cbdb17de
work_keys_str_mv	AT adilagangat symmetrybetweenrepulsiveandattractiveinteractionsindrivendissipativebosehubbardsystems AT ianpmcculloch symmetrybetweenrepulsiveandattractiveinteractionsindrivendissipativebosehubbardsystems AT yingjerkao symmetrybetweenrepulsiveandattractiveinteractionsindrivendissipativebosehubbardsystems
_version_	1718387924918075392

Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems

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