Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms

11 pages, 4 figures, 1 appendix

Detalhes bibliográficos
Autores: Barberán, N., Dagnino, D., García-March, Miguel Angel, Trombettoni, Andrea, Taron, J., Lewenstein, Maciej
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:España
Recursos:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/133275
Acesso em linha:http://hdl.handle.net/10261/133275
Access Level:acceso abierto
Palavra-chave:Fractional quantum hall effect
Transport phenomena in ultracold quantum gases
Impurities in ultracold quantum gases
Quantum simulators
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spelling Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atomsBarberán, N.Dagnino, D.García-March, Miguel AngelTrombettoni, AndreaTaron, J.Lewenstein, MaciejFractional quantum hall effectTransport phenomena in ultracold quantum gasesImpurities in ultracold quantum gasesQuantum simulators11 pages, 4 figures, 1 appendixWe analyze the role of impurities in the fractional quantum Hall effect using a highly controllable system of ultracold atoms. We investigate the mechanism responsible for the formation of plateaux in the resistivity/conductivity as a function of the applied magnetic field in the lowest Landau level regime. To this aim, we consider an impurity immersed in a small cloud of an ultracold quantum Bose gas subjected to an artificial magnetic field. We consider scenarios corresponding to experimentally realistic systems with gauge fields induced by rotation of the trapping parabolic potential. Systems of this kind are adequate to simulate quantum Hall effects in ultracold atom setups. We use exact diagonalization for few atoms and to emulate transport equations, we analyze the time evolution of the system under a periodic perturbation. We provide a theoretical proposal to detect the up-to-now elusive presence of strongly correlated states related to fractional filling factors in the context of ultracold atoms. We analyze the conditions under which these strongly correlated states are associated with the presence of the resistivity/conductivity plateaux. Our main result is the presence of a plateau in a region, where the transfer between localized and non-localized particles takes place, as a necessary condition to maintain a constant value of the resistivity/conductivity as the magnetic field increasesWe acknowledge partial financial support from the DGI (Spain) Grant No. FIS2011-24154 and FIS2013-41757-P; the Generalitat de Catalunya Grant No 2009SGR-1003, 2014SGR940 and 2009SGR21. We acknowledge also support from EU grants OSYRIS (ERC-2013-AdG Grant No 339106), SIQS (FP7-ICT-2011-9 No 600645), EU STREP QUIC (H2020-FETPROACT- 2014 No 641122), EQuaM (FP7/2007–2013 Grant No 323714), Spanish Ministry grant FOQUS (FIS2013-46768-P), the Generalitat de Catalunya project 2014 SGR 874, and Fundació Cellex. J T is supported by grants FPA2013-46570, 2014-SGR-104 and Consolider grant CSD2007-00042 (CPAN). Financial support from the Spanish Ministry of Economy and Competitiveness, through the ‘Severo Ochoa’ Programme for Centres of Excellence in R&D (SEV-2015-0522) is acknowledgedPeer ReviewedDeutsche Physikalische GesellschaftFundació Privada CellexMinisterio de Economía y Competitividad (España)European CommissionGeneralitat de CatalunyaConsejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]2016201620152016info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Publisher's versioninfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10261/133275reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Ingléshttps://doi.org/10.1088/1367-2630/17/12/125009Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/1332752026-05-22T06:33:51Z
dc.title.none.fl_str_mv Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
title Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
spellingShingle Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
Barberán, N.
Fractional quantum hall effect
Transport phenomena in ultracold quantum gases
Impurities in ultracold quantum gases
Quantum simulators
title_short Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
title_full Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
title_fullStr Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
title_full_unstemmed Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
title_sort Quantum simulation of conductivity plateaux and fractional quantum Hall effect using ultracold atoms
dc.creator.none.fl_str_mv Barberán, N.
Dagnino, D.
García-March, Miguel Angel
Trombettoni, Andrea
Taron, J.
Lewenstein, Maciej
author Barberán, N.
author_facet Barberán, N.
Dagnino, D.
García-March, Miguel Angel
Trombettoni, Andrea
Taron, J.
Lewenstein, Maciej
author_role author
author2 Dagnino, D.
García-March, Miguel Angel
Trombettoni, Andrea
Taron, J.
Lewenstein, Maciej
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Fundació Privada Cellex
Ministerio de Economía y Competitividad (España)
European Commission
Generalitat de Catalunya
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Fractional quantum hall effect
Transport phenomena in ultracold quantum gases
Impurities in ultracold quantum gases
Quantum simulators
topic Fractional quantum hall effect
Transport phenomena in ultracold quantum gases
Impurities in ultracold quantum gases
Quantum simulators
description 11 pages, 4 figures, 1 appendix
publishDate 2015
dc.date.none.fl_str_mv 2015
2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Publisher's version
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/133275
url http://hdl.handle.net/10261/133275
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://doi.org/10.1088/1367-2630/17/12/125009
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Deutsche Physikalische Gesellschaft
publisher.none.fl_str_mv Deutsche Physikalische Gesellschaft
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,81155

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