Energy transport between two integrable spin chains
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/30462 |
Resumo: | We study the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily. By changing independently the parameters of the two halves, we highlight, through bosonization and time-dependent matrix-product-state simulations, the different contributions of low-lying bosonic modes and of fermionic quasiparticles to the energy transport. In the simulations we also observe that the energy current reaches a finite value which only slowly decays to zero. The general picture that emerges is the following. Since integrability is only locally broken in this model, a preequilibration behavior may appear. In particular, when the sound velocities of the bosonic modes of the two halves match, the low-temperature energy current is almost stationary and described by a formula with a nonuniversal prefactor interpreted as a transmission coefficient. Thermalization, characterized by the absence of any energy flow, occurs only on longer time scales which are not accessible with our numerics |
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Biella, AlbertoDe Luca, AndreaViti, JacopoRossini, DavideMazza, LeonardoFazio, Rosario2020-10-20T23:41:14Z2020-10-20T23:41:14Z2016-05-13BIELLA, Alberto; LUCA, Andrea de; VITI, Jacopo; ROSSINI, Davide; MAZZA, Leonardo; FAZIO, Rosario. Energy transport between two integrable spin chains. Physical Review B, [S.L.], v. 93, n. 20, p. 205121, 13 maio 2016. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.205121. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physrevb.93.2051212469-9969https://repositorio.ufrn.br/handle/123456789/3046210.1103/PhysRevB.93.205121American Physical SocietyEnergy transportIntegrable spin chainsEnergy transport between two integrable spin chainsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe study the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily. By changing independently the parameters of the two halves, we highlight, through bosonization and time-dependent matrix-product-state simulations, the different contributions of low-lying bosonic modes and of fermionic quasiparticles to the energy transport. In the simulations we also observe that the energy current reaches a finite value which only slowly decays to zero. The general picture that emerges is the following. Since integrability is only locally broken in this model, a preequilibration behavior may appear. In particular, when the sound velocities of the bosonic modes of the two halves match, the low-temperature energy current is almost stationary and described by a formula with a nonuniversal prefactor interpreted as a transmission coefficient. Thermalization, characterized by the absence of any energy flow, occurs only on longer time scales which are not accessible with our numericsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALEnergyTransport_VITI_2016.pdfEnergyTransport_VITI_2016.pdfapplication/pdf1148880https://repositorio.ufrn.br/bitstream/123456789/30462/1/EnergyTransport_VITI_2016.pdf8610ae5b3df9f9d283c8f4221626961fMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30462/2/license.txte9597aa2854d128fd968be5edc8a28d9MD52TEXTEnergyTransport_VITI_2016.pdf.txtEnergyTransport_VITI_2016.pdf.txtExtracted texttext/plain64833https://repositorio.ufrn.br/bitstream/123456789/30462/3/EnergyTransport_VITI_2016.pdf.txt51a9ebad0e29ad67606f3ebecc115991MD53THUMBNAILEnergyTransport_VITI_2016.pdf.jpgEnergyTransport_VITI_2016.pdf.jpgGenerated Thumbnailimage/jpeg1756https://repositorio.ufrn.br/bitstream/123456789/30462/4/EnergyTransport_VITI_2016.pdf.jpgc0ba587c975497dffca94dba78d682e0MD54123456789/304622020-10-25 04:56:10.492oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-10-25T07:56:10Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Energy transport between two integrable spin chains |
title |
Energy transport between two integrable spin chains |
spellingShingle |
Energy transport between two integrable spin chains Biella, Alberto Energy transport Integrable spin chains |
title_short |
Energy transport between two integrable spin chains |
title_full |
Energy transport between two integrable spin chains |
title_fullStr |
Energy transport between two integrable spin chains |
title_full_unstemmed |
Energy transport between two integrable spin chains |
title_sort |
Energy transport between two integrable spin chains |
author |
Biella, Alberto |
author_facet |
Biella, Alberto De Luca, Andrea Viti, Jacopo Rossini, Davide Mazza, Leonardo Fazio, Rosario |
author_role |
author |
author2 |
De Luca, Andrea Viti, Jacopo Rossini, Davide Mazza, Leonardo Fazio, Rosario |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Biella, Alberto De Luca, Andrea Viti, Jacopo Rossini, Davide Mazza, Leonardo Fazio, Rosario |
dc.subject.por.fl_str_mv |
Energy transport Integrable spin chains |
topic |
Energy transport Integrable spin chains |
description |
We study the energy transport in a system of two half-infinite XXZ chains initially kept separated at different temperatures, and later connected and let free to evolve unitarily. By changing independently the parameters of the two halves, we highlight, through bosonization and time-dependent matrix-product-state simulations, the different contributions of low-lying bosonic modes and of fermionic quasiparticles to the energy transport. In the simulations we also observe that the energy current reaches a finite value which only slowly decays to zero. The general picture that emerges is the following. Since integrability is only locally broken in this model, a preequilibration behavior may appear. In particular, when the sound velocities of the bosonic modes of the two halves match, the low-temperature energy current is almost stationary and described by a formula with a nonuniversal prefactor interpreted as a transmission coefficient. Thermalization, characterized by the absence of any energy flow, occurs only on longer time scales which are not accessible with our numerics |
publishDate |
2016 |
dc.date.issued.fl_str_mv |
2016-05-13 |
dc.date.accessioned.fl_str_mv |
2020-10-20T23:41:14Z |
dc.date.available.fl_str_mv |
2020-10-20T23:41:14Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
BIELLA, Alberto; LUCA, Andrea de; VITI, Jacopo; ROSSINI, Davide; MAZZA, Leonardo; FAZIO, Rosario. Energy transport between two integrable spin chains. Physical Review B, [S.L.], v. 93, n. 20, p. 205121, 13 maio 2016. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.205121. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physrevb.93.205121 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30462 |
dc.identifier.issn.none.fl_str_mv |
2469-9969 |
dc.identifier.doi.none.fl_str_mv |
10.1103/PhysRevB.93.205121 |
identifier_str_mv |
BIELLA, Alberto; LUCA, Andrea de; VITI, Jacopo; ROSSINI, Davide; MAZZA, Leonardo; FAZIO, Rosario. Energy transport between two integrable spin chains. Physical Review B, [S.L.], v. 93, n. 20, p. 205121, 13 maio 2016. Disponível em: https://journals.aps.org/prb/abstract/10.1103/PhysRevB.93.205121. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physrevb.93.205121 2469-9969 10.1103/PhysRevB.93.205121 |
url |
https://repositorio.ufrn.br/handle/123456789/30462 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRN instname:Universidade Federal do Rio Grande do Norte (UFRN) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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