Return amplitude after a quantum quench in the XY chain
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/handle/123456789/30312 |
Resumo: | We determine an exact formula for the transition amplitude between any two arbitrary eigenstates of the local z-magnetization operators in the quantum XY chain. We further use this formula to obtain an analytical expression for the return amplitude of fully polarized states and the Néel state on a ring of length L. Then, we investigate finite-size eects in the return amplitude: in particular quasi-particle interference halfway along the ring, a phenomenon that has been dubbed traversal (Essler and Fagotti 2016 J. Stat. Mech. 064002). We show that the traversal time and the features of the return amplitude at the traversal time depend on the initial state and on the parity of L. Finally, we briefly discuss non-analyticities in time of the decay rates in the thermodynamic limit L → ∞, which are known as dynamical phase transitions |
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Viti, JacopoNajafi, KhadijehRajabpour, M. A.2020-10-07T20:13:25Z2020-10-07T20:13:25Z2019-08-20NAJAFI, Khadijeh; A RAJABPOUR, M; VITI, Jacopo. Return amplitude after a quantum quench in the XY chain. Journal Of Statistical Mechanics: Theory and Experiment, [S.L.], v. 2019, n. 8, p. 083102-083125, 20 ago. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1742-5468/ab3413. Acesso em: 11 ago. 2020. IOP Publishing. http://dx.doi.org/10.1088/1742-5468/ab34131742-5468https://repositorio.ufrn.br/handle/123456789/3031210.1088/1742-5468/ab3413IOP PublishingQuantum quenchesReturn amplitude after a quantum quench in the XY chaininfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe determine an exact formula for the transition amplitude between any two arbitrary eigenstates of the local z-magnetization operators in the quantum XY chain. We further use this formula to obtain an analytical expression for the return amplitude of fully polarized states and the Néel state on a ring of length L. Then, we investigate finite-size eects in the return amplitude: in particular quasi-particle interference halfway along the ring, a phenomenon that has been dubbed traversal (Essler and Fagotti 2016 J. Stat. Mech. 064002). We show that the traversal time and the features of the return amplitude at the traversal time depend on the initial state and on the parity of L. Finally, we briefly discuss non-analyticities in time of the decay rates in the thermodynamic limit L → ∞, which are known as dynamical phase transitionsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/30312/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81569https://repositorio.ufrn.br/bitstream/123456789/30312/3/license.txt6e6f57145bc87daf99079f06b081ff9fMD53TEXTReturnAmplitudeAfter_VITI_2019.pdf.txtReturnAmplitudeAfter_VITI_2019.pdf.txtExtracted texttext/plain62628https://repositorio.ufrn.br/bitstream/123456789/30312/4/ReturnAmplitudeAfter_VITI_2019.pdf.txt8be7d46a6bb52d08ae78def2c31076bdMD54THUMBNAILReturnAmplitudeAfter_VITI_2019.pdf.jpgReturnAmplitudeAfter_VITI_2019.pdf.jpgGenerated Thumbnailimage/jpeg1286https://repositorio.ufrn.br/bitstream/123456789/30312/5/ReturnAmplitudeAfter_VITI_2019.pdf.jpgbaf7e20d59edc91abb43a69ea1299603MD55123456789/303122022-10-20 16:35:34.362oai:https://repositorio.ufrn.br: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ório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-20T19:35:34Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Return amplitude after a quantum quench in the XY chain |
title |
Return amplitude after a quantum quench in the XY chain |
spellingShingle |
Return amplitude after a quantum quench in the XY chain Viti, Jacopo Quantum quenches |
title_short |
Return amplitude after a quantum quench in the XY chain |
title_full |
Return amplitude after a quantum quench in the XY chain |
title_fullStr |
Return amplitude after a quantum quench in the XY chain |
title_full_unstemmed |
Return amplitude after a quantum quench in the XY chain |
title_sort |
Return amplitude after a quantum quench in the XY chain |
author |
Viti, Jacopo |
author_facet |
Viti, Jacopo Najafi, Khadijeh Rajabpour, M. A. |
author_role |
author |
author2 |
Najafi, Khadijeh Rajabpour, M. A. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Viti, Jacopo Najafi, Khadijeh Rajabpour, M. A. |
dc.subject.por.fl_str_mv |
Quantum quenches |
topic |
Quantum quenches |
description |
We determine an exact formula for the transition amplitude between any two arbitrary eigenstates of the local z-magnetization operators in the quantum XY chain. We further use this formula to obtain an analytical expression for the return amplitude of fully polarized states and the Néel state on a ring of length L. Then, we investigate finite-size eects in the return amplitude: in particular quasi-particle interference halfway along the ring, a phenomenon that has been dubbed traversal (Essler and Fagotti 2016 J. Stat. Mech. 064002). We show that the traversal time and the features of the return amplitude at the traversal time depend on the initial state and on the parity of L. Finally, we briefly discuss non-analyticities in time of the decay rates in the thermodynamic limit L → ∞, which are known as dynamical phase transitions |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019-08-20 |
dc.date.accessioned.fl_str_mv |
2020-10-07T20:13:25Z |
dc.date.available.fl_str_mv |
2020-10-07T20:13:25Z |
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 |
NAJAFI, Khadijeh; A RAJABPOUR, M; VITI, Jacopo. Return amplitude after a quantum quench in the XY chain. Journal Of Statistical Mechanics: Theory and Experiment, [S.L.], v. 2019, n. 8, p. 083102-083125, 20 ago. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1742-5468/ab3413. Acesso em: 11 ago. 2020. IOP Publishing. http://dx.doi.org/10.1088/1742-5468/ab3413 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30312 |
dc.identifier.issn.none.fl_str_mv |
1742-5468 |
dc.identifier.doi.none.fl_str_mv |
10.1088/1742-5468/ab3413 |
identifier_str_mv |
NAJAFI, Khadijeh; A RAJABPOUR, M; VITI, Jacopo. Return amplitude after a quantum quench in the XY chain. Journal Of Statistical Mechanics: Theory and Experiment, [S.L.], v. 2019, n. 8, p. 083102-083125, 20 ago. 2019. Disponível em: https://iopscience.iop.org/article/10.1088/1742-5468/ab3413. Acesso em: 11 ago. 2020. IOP Publishing. http://dx.doi.org/10.1088/1742-5468/ab3413 1742-5468 10.1088/1742-5468/ab3413 |
url |
https://repositorio.ufrn.br/handle/123456789/30312 |
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 |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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 |
reponame_str |
Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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