Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap
Autor(a) principal: | |
---|---|
Data de Publicação: | 2012 |
Outros Autores: | , , |
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 |