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Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
We use entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. Entanglement is found to have remarkable signatures of the SIT driven by i) the disorder strength V, ii) the concentration of impurities C and ii...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6814829/ https://www.ncbi.nlm.nih.gov/pubmed/31653967 http://dx.doi.org/10.1038/s41598-019-51986-0 |
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author | Canella, G. A. França, V. V. |
author_facet | Canella, G. A. França, V. V. |
author_sort | Canella, G. A. |
collection | PubMed |
description | We use entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. Entanglement is found to have remarkable signatures of the SIT driven by i) the disorder strength V, ii) the concentration of impurities C and iii) the particle density n. Our results reveal the absence of a critical potential intensity on the SIT driven by V, i.e. any small V suffices to decrease considerably the degree of entanglement: it drops ∼50% for V = −0.25t. We also find that entanglement is non-monotonic with the concentration C, approaching to zero for a certain critical value C(C). This critical concentration is found to be related to a special type of localization, here named as fully-localized state, which can be also reached for a particular density n(C). Our results show that the SIT driven by n or C has distinct nature whether it leads to the full localization or to the ordinary one: it is a first-order quantum phase transition only when leading to full localization. In contrast, the SIT driven by V is never a first-order quantum phase transition independently on the type of localization reached. |
format | Online Article Text |
id | pubmed-6814829 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
spelling | pubmed-68148292019-10-30 Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids Canella, G. A. França, V. V. Sci Rep Article We use entanglement to track the superfluid-insulator transition (SIT) in disordered fermionic superfluids described by the one-dimensional Hubbard model. Entanglement is found to have remarkable signatures of the SIT driven by i) the disorder strength V, ii) the concentration of impurities C and iii) the particle density n. Our results reveal the absence of a critical potential intensity on the SIT driven by V, i.e. any small V suffices to decrease considerably the degree of entanglement: it drops ∼50% for V = −0.25t. We also find that entanglement is non-monotonic with the concentration C, approaching to zero for a certain critical value C(C). This critical concentration is found to be related to a special type of localization, here named as fully-localized state, which can be also reached for a particular density n(C). Our results show that the SIT driven by n or C has distinct nature whether it leads to the full localization or to the ordinary one: it is a first-order quantum phase transition only when leading to full localization. In contrast, the SIT driven by V is never a first-order quantum phase transition independently on the type of localization reached. Nature Publishing Group UK 2019-10-25 /pmc/articles/PMC6814829/ /pubmed/31653967 http://dx.doi.org/10.1038/s41598-019-51986-0 Text en © The Author(s) 2019 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 Canella, G. A. França, V. V. Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title | Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title_full | Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title_fullStr | Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title_full_unstemmed | Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title_short | Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
title_sort | superfluid-insulator transition unambiguously detected by entanglement in one-dimensional disordered superfluids |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6814829/ https://www.ncbi.nlm.nih.gov/pubmed/31653967 http://dx.doi.org/10.1038/s41598-019-51986-0 |
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