Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
Autor(a) principal: | |
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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/10183/104324 |
Resumo: | Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga- Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the dynamical exponent z = 2 and correlation length exponent ν = 1/2 for the quantum phase transitions driven by either the chemical potential or the magnetic field. Consequently, we further demonstrate that quantum criticality of the system can be mapped out from the finite temperature density and magnetization profiles of the 1D trapped gas. Our results provide the physical origin of quantum criticality in a 1D many-body system beyond the Tomonaga-Luttinger-liquid description. |
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Kuhn, Carlos Claiton NoschangGuan, Xi-WenFoerster, AngelaBatchelor, Murray T.2014-10-09T02:13:22Z20121050-2947http://hdl.handle.net/10183/104324000836101Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga- Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the dynamical exponent z = 2 and correlation length exponent ν = 1/2 for the quantum phase transitions driven by either the chemical potential or the magnetic field. Consequently, we further demonstrate that quantum criticality of the system can be mapped out from the finite temperature density and magnetization profiles of the 1D trapped gas. Our results provide the physical origin of quantum criticality in a 1D many-body system beyond the Tomonaga-Luttinger-liquid description.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 85, no. 4 (Apr. 2012), 043606, 11 p.Diagramas de faseTransformações de fasePontos criticosSistemas de bósonsPotencial químicoMagnetizaçãoMecanica estatistica quanticaTermodinâmicaUniversality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interactionEstrangeiroinfo: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:UFRGSORIGINAL000836101.pdf000836101.pdfTexto completo (inglês)application/pdf995892http://www.lume.ufrgs.br/bitstream/10183/104324/1/000836101.pdf6e62b09b2f0e6d2aa7985139e67712cbMD51TEXT000836101.pdf.txt000836101.pdf.txtExtracted Texttext/plain47569http://www.lume.ufrgs.br/bitstream/10183/104324/2/000836101.pdf.txtafdf846b91202f49458b78d0ec72460fMD52THUMBNAIL000836101.pdf.jpg000836101.pdf.jpgGenerated Thumbnailimage/jpeg2216http://www.lume.ufrgs.br/bitstream/10183/104324/3/000836101.pdf.jpg7700f8d742628d570ed51bdbb2be033cMD5310183/1043242023-06-24 03:34:56.832803oai:www.lume.ufrgs.br:10183/104324Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-24T06:34:56Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
title |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
spellingShingle |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction Kuhn, Carlos Claiton Noschang Diagramas de fase Transformações de fase Pontos criticos Sistemas de bósons Potencial químico Magnetização Mecanica estatistica quantica Termodinâmica |
title_short |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
title_full |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
title_fullStr |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
title_full_unstemmed |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
title_sort |
Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction |
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 |
Diagramas de fase Transformações de fase Pontos criticos Sistemas de bósons Potencial químico Magnetização Mecanica estatistica quantica Termodinâmica |
topic |
Diagramas de fase Transformações de fase Pontos criticos Sistemas de bósons Potencial químico Magnetização Mecanica estatistica quantica Termodinâmica |
description |
Using the thermodynamic Bethe ansatz equations we study the quantum phase diagram, thermodynamics, and criticality of one-dimensional (1D) spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions. We analytically derive a high-precision equation of state from which the Tomonaga- Luttinger-liquid physics and quantum critical behavior of the system are computed. We obtain explicit forms for the scaling functions near the critical points yielding the dynamical exponent z = 2 and correlation length exponent ν = 1/2 for the quantum phase transitions driven by either the chemical potential or the magnetic field. Consequently, we further demonstrate that quantum criticality of the system can be mapped out from the finite temperature density and magnetization profiles of the 1D trapped gas. Our results provide the physical origin of quantum criticality in a 1D many-body system beyond the Tomonaga-Luttinger-liquid description. |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2014-10-09T02:13:22Z |
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/10183/104324 |
dc.identifier.issn.pt_BR.fl_str_mv |
1050-2947 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000836101 |
identifier_str_mv |
1050-2947 000836101 |
url |
http://hdl.handle.net/10183/104324 |
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. 85, no. 4 (Apr. 2012), 043606, 11 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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