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The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
We present a generic framework for the emergence of the [Formula: see text] toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2017
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5594026/ https://www.ncbi.nlm.nih.gov/pubmed/28894139 http://dx.doi.org/10.1038/s41598-017-11299-6 |
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author | Wang, Wei Capogrosso-Sansone, Barbara |
author_facet | Wang, Wei Capogrosso-Sansone, Barbara |
author_sort | Wang, Wei |
collection | PubMed |
description | We present a generic framework for the emergence of the [Formula: see text] toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entanglement of the model which possesses “restricted patterns” of the long-range entanglement realized in corresponding string-net models with the same topological order. |
format | Online Article Text |
id | pubmed-5594026 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-55940262017-09-14 The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit Wang, Wei Capogrosso-Sansone, Barbara Sci Rep Article We present a generic framework for the emergence of the [Formula: see text] toric-code and the double-semion topological order in a wide class of hardcore Bose-Hubbard-type models governed by density-density interaction and in the strong-interaction regime. We fix fractional filling factor and study under which conditions the density-density interaction gives rise to topological degeneracy. We further specify which dynamics determines the toric-code and the double-semion topological order. Our results indicate that the specifics of the density-density interaction determine the long-range entanglement of the model which possesses “restricted patterns” of the long-range entanglement realized in corresponding string-net models with the same topological order. Nature Publishing Group UK 2017-09-11 /pmc/articles/PMC5594026/ /pubmed/28894139 http://dx.doi.org/10.1038/s41598-017-11299-6 Text en © The Author(s) 2017 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 Wang, Wei Capogrosso-Sansone, Barbara The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title | The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title_full | The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title_fullStr | The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title_full_unstemmed | The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title_short | The [Formula: see text] toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit |
title_sort | [formula: see text] toric-code and the double-semion topological order of hardcore bose-hubbard-type models in the strong-interaction limit |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5594026/ https://www.ncbi.nlm.nih.gov/pubmed/28894139 http://dx.doi.org/10.1038/s41598-017-11299-6 |
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