Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Wang, Wei, Capogrosso-Sansone, Barbara
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
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
_version_ 1783263145984262144
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
work_keys_str_mv AT wangwei theformulaseetexttoriccodeandthedoublesemiontopologicalorderofhardcorebosehubbardtypemodelsinthestronginteractionlimit
AT capogrossosansonebarbara theformulaseetexttoriccodeandthedoublesemiontopologicalorderofhardcorebosehubbardtypemodelsinthestronginteractionlimit
AT wangwei formulaseetexttoriccodeandthedoublesemiontopologicalorderofhardcorebosehubbardtypemodelsinthestronginteractionlimit
AT capogrossosansonebarbara formulaseetexttoriccodeandthedoublesemiontopologicalorderofhardcorebosehubbardtypemodelsinthestronginteractionlimit