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Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices
Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly co...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2013
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3759837/ https://www.ncbi.nlm.nih.gov/pubmed/23999144 http://dx.doi.org/10.1038/srep02570 |
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author | Kartsev, A. Karlsson, D. Privitera, A. Verdozzi, C. |
author_facet | Kartsev, A. Karlsson, D. Privitera, A. Verdozzi, C. |
author_sort | Kartsev, A. |
collection | PubMed |
description | Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments. We study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential. We use time-dependent density-functional theory combined with dynamical mean-field theory, considering interactions below and above the Mott threshold, as well as disorder effects. At strong coupling, we observe multiple timescales in the melting of the Mott wedding-cake structure, as the Mott plateau persist orders of magnitude longer than the band insulating core. We also show that disorder destabilises the Mott plateau and that, compared to a clean setup, localisation can decrease, creating an interesting dynamic crossover during the expansion. |
format | Online Article Text |
id | pubmed-3759837 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-37598372013-09-03 Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices Kartsev, A. Karlsson, D. Privitera, A. Verdozzi, C. Sci Rep Article Non-equilibrium quantum phenomena are ubiquitous in nature. Yet, theoretical predictions on the real-time dynamics of many-body quantum systems remain formidably challenging, especially for high dimensions, strong interactions or disordered samples. Here we consider a notable paradigm of strongly correlated Fermi systems, the Mott phase of the Hubbard model, in a setup resembling ultracold-gases experiments. We study the three-dimensional expansion of a cloud into an optical lattice after removing the confining potential. We use time-dependent density-functional theory combined with dynamical mean-field theory, considering interactions below and above the Mott threshold, as well as disorder effects. At strong coupling, we observe multiple timescales in the melting of the Mott wedding-cake structure, as the Mott plateau persist orders of magnitude longer than the band insulating core. We also show that disorder destabilises the Mott plateau and that, compared to a clean setup, localisation can decrease, creating an interesting dynamic crossover during the expansion. Nature Publishing Group 2013-09-03 /pmc/articles/PMC3759837/ /pubmed/23999144 http://dx.doi.org/10.1038/srep02570 Text en Copyright © 2013, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-nd/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ |
spellingShingle | Article Kartsev, A. Karlsson, D. Privitera, A. Verdozzi, C. Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title | Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title_full | Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title_fullStr | Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title_full_unstemmed | Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title_short | Three-dimensional dynamics of a fermionic Mott wedding-cake in clean and disordered optical lattices |
title_sort | three-dimensional dynamics of a fermionic mott wedding-cake in clean and disordered optical lattices |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3759837/ https://www.ncbi.nlm.nih.gov/pubmed/23999144 http://dx.doi.org/10.1038/srep02570 |
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