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Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems
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 depen...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2018
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5829241/ https://www.ncbi.nlm.nih.gov/pubmed/29487298 http://dx.doi.org/10.1038/s41598-018-21845-5 |
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author | Gangat, Adil A. McCulloch, Ian P. Kao, Ying-Jer |
author_facet | Gangat, Adil A. McCulloch, Ian P. Kao, Ying-Jer |
author_sort | Gangat, Adil A. |
collection | PubMed |
description | 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 | Online Article Text |
id | pubmed-5829241 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-58292412018-03-01 Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems Gangat, Adil A. McCulloch, Ian P. Kao, Ying-Jer Sci Rep Article 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. Nature Publishing Group UK 2018-02-27 /pmc/articles/PMC5829241/ /pubmed/29487298 http://dx.doi.org/10.1038/s41598-018-21845-5 Text en © The Author(s) 2018 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. |
spellingShingle | Article Gangat, Adil A. McCulloch, Ian P. Kao, Ying-Jer Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems |
title | 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_short | 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 |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5829241/ https://www.ncbi.nlm.nih.gov/pubmed/29487298 http://dx.doi.org/10.1038/s41598-018-21845-5 |
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