Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap

Detalhes bibliográficos
Autor(a) principal: Kuhn, Carlos Claiton Noschang
Data de Publicação: 2012
Outros Autores: Guan, Xi-Wen, Foerster, Angela, Batchelor, Murray T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/104547
Resumo: We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a partially polarized core is surrounded by two wings composed of either spin-singlet pairs or a fully spin-aligned Tonks-Girardeau gas depending on the polarization. We describe how the scaling behavior of density profiles can reveal the universal nature of quantum criticality and map out the quantum phase diagram. We further show that at quantum criticality the dynamical critical exponent z = 2 and correlation length exponent ν = 1/2. This reveals a subtle resemblance to the physics of the spin-1/2 attractive Fermi gas.
id UFRGS-2_18f475ac6f6b0c16ea5ac3b83214eb27
oai_identifier_str oai:www.lume.ufrgs.br:10183/104547
network_acronym_str UFRGS-2
network_name_str Repositório Institucional da UFRGS
repository_id_str
spelling Kuhn, Carlos Claiton NoschangGuan, Xi-WenFoerster, AngelaBatchelor, Murray T.2014-10-15T02:12:27Z20121050-2947http://hdl.handle.net/10183/104547000868087We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a partially polarized core is surrounded by two wings composed of either spin-singlet pairs or a fully spin-aligned Tonks-Girardeau gas depending on the polarization. We describe how the scaling behavior of density profiles can reveal the universal nature of quantum criticality and map out the quantum phase diagram. We further show that at quantum criticality the dynamical critical exponent z = 2 and correlation length exponent ν = 1/2. This reveals a subtle resemblance to the physics of the spin-1/2 attractive Fermi gas.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 86, no. 1 (July 2012), 011605, 4 p.Materiais antiferromagnéticosEquações de estadoExpoentes críticosSistemas de bósonsTransições magnéticasQuantum criticality of spin-1 bosons in a one-dimensional harmonic trapEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000868087.pdf000868087.pdfTexto completo (inglês)application/pdf406918http://www.lume.ufrgs.br/bitstream/10183/104547/1/000868087.pdfcab79b67bff672f3aefd824c3a1847e6MD51TEXT000868087.pdf.txt000868087.pdf.txtExtracted Texttext/plain19464http://www.lume.ufrgs.br/bitstream/10183/104547/2/000868087.pdf.txte823553a5d01fc2c5779d3cd3cdd47ceMD52THUMBNAIL000868087.pdf.jpg000868087.pdf.jpgGenerated Thumbnailimage/jpeg2162http://www.lume.ufrgs.br/bitstream/10183/104547/3/000868087.pdf.jpg4206c31dead68858ecec06a4f733d50aMD5310183/1045472023-06-24 03:37:38.211017oai:www.lume.ufrgs.br:10183/104547Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:37:38Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
title Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
spellingShingle Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
Kuhn, Carlos Claiton Noschang
Materiais antiferromagnéticos
Equações de estado
Expoentes críticos
Sistemas de bósons
Transições magnéticas
title_short Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
title_full Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
title_fullStr Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
title_full_unstemmed Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
title_sort Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
author Kuhn, Carlos Claiton Noschang
author_facet Kuhn, Carlos Claiton Noschang
Guan, Xi-Wen
Foerster, Angela
Batchelor, Murray T.
author_role author
author2 Guan, Xi-Wen
Foerster, Angela
Batchelor, Murray T.
author2_role author
author
author
dc.contributor.author.fl_str_mv Kuhn, Carlos Claiton Noschang
Guan, Xi-Wen
Foerster, Angela
Batchelor, Murray T.
dc.subject.por.fl_str_mv Materiais antiferromagnéticos
Equações de estado
Expoentes críticos
Sistemas de bósons
Transições magnéticas
topic Materiais antiferromagnéticos
Equações de estado
Expoentes críticos
Sistemas de bósons
Transições magnéticas
description We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a partially polarized core is surrounded by two wings composed of either spin-singlet pairs or a fully spin-aligned Tonks-Girardeau gas depending on the polarization. We describe how the scaling behavior of density profiles can reveal the universal nature of quantum criticality and map out the quantum phase diagram. We further show that at quantum criticality the dynamical critical exponent z = 2 and correlation length exponent ν = 1/2. This reveals a subtle resemblance to the physics of the spin-1/2 attractive Fermi gas.
publishDate 2012
dc.date.issued.fl_str_mv 2012
dc.date.accessioned.fl_str_mv 2014-10-15T02:12:27Z
dc.type.driver.fl_str_mv Estrangeiro
info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10183/104547
dc.identifier.issn.pt_BR.fl_str_mv 1050-2947
dc.identifier.nrb.pt_BR.fl_str_mv 000868087
identifier_str_mv 1050-2947
000868087
url http://hdl.handle.net/10183/104547
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.pt_BR.fl_str_mv Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 86, no. 1 (July 2012), 011605, 4 p.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRGS
instname:Universidade Federal do Rio Grande do Sul (UFRGS)
instacron:UFRGS
instname_str Universidade Federal do Rio Grande do Sul (UFRGS)
instacron_str UFRGS
institution UFRGS
reponame_str Repositório Institucional da UFRGS
collection Repositório Institucional da UFRGS
bitstream.url.fl_str_mv http://www.lume.ufrgs.br/bitstream/10183/104547/1/000868087.pdf
http://www.lume.ufrgs.br/bitstream/10183/104547/2/000868087.pdf.txt
http://www.lume.ufrgs.br/bitstream/10183/104547/3/000868087.pdf.jpg
bitstream.checksum.fl_str_mv cab79b67bff672f3aefd824c3a1847e6
e823553a5d01fc2c5779d3cd3cdd47ce
4206c31dead68858ecec06a4f733d50a
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)
repository.mail.fl_str_mv
_version_ 1801224853299134464

Registros relacionados