Inhomogeneous quenches in a free fermionic chain: Exact results
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/123456789/30330 |
Resumo: | We consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focusing on two-point correlators and the Loschmidt echo (return probability). For the non-interacting case, we identify through an exact derivation the regime in which a semiclassical ansatz is valid. We present a number of analytical results beyond semiclassics, such as the approach to the non-equilibrium steady state and the appearance of Tracy-Widom distributions at the front of the light cone. The light cone behavior is quantified through a series expansion in time, and this description is shown to be valid for interacting systems as well. Results on the Loschmidt echo, presented for finite and zero interactions, illustrate that the physics is different from both local and global quenches |
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Viti, JacopoStéphan, Jean-MarieDubail, JérômeHaque, Masudul2020-10-08T22:30:30Z2020-10-08T22:30:30Z2016-05-19VITI, Jacopo; STÉPHAN, Jean-Marie; DUBAIL, Jérôme; HAQUE, Masudul. Inhomogeneous quenches in a free fermionic chain: exact results. EPL (Europhysics Letters), [S.L.], v. 115, n. 4, p. 40011, 1 ago. 2016. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/115/40011. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/115/400111286-4854https://repositorio.ufrn.br/handle/123456789/3033010.1209/0295-5075/115/40011IOP PublishingField theoryInhomogeneous field theoryArctic circleInhomogeneous quenches in a free fermionic chain: Exact resultsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focusing on two-point correlators and the Loschmidt echo (return probability). For the non-interacting case, we identify through an exact derivation the regime in which a semiclassical ansatz is valid. We present a number of analytical results beyond semiclassics, such as the approach to the non-equilibrium steady state and the appearance of Tracy-Widom distributions at the front of the light cone. The light cone behavior is quantified through a series expansion in time, and this description is shown to be valid for interacting systems as well. Results on the Loschmidt echo, presented for finite and zero interactions, illustrate that the physics is different from both local and global quenchesengreponame: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/123456789/30330/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30330/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTInhomogeneousQuenches_VITI_2016.pdf.txtInhomogeneousQuenches_VITI_2016.pdf.txtExtracted texttext/plain28306https://repositorio.ufrn.br/bitstream/123456789/30330/4/InhomogeneousQuenches_VITI_2016.pdf.txtdec1308506989fae04c02102028c5b59MD54THUMBNAILInhomogeneousQuenches_VITI_2016.pdf.jpgInhomogeneousQuenches_VITI_2016.pdf.jpgGenerated Thumbnailimage/jpeg1508https://repositorio.ufrn.br/bitstream/123456789/30330/5/InhomogeneousQuenches_VITI_2016.pdf.jpg021156f73e322f12a4e3d52a261bfeccMD55123456789/303302022-10-19 17:37:21.95oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-19T20:37:21Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title |
Inhomogeneous quenches in a free fermionic chain: Exact results |
spellingShingle |
Inhomogeneous quenches in a free fermionic chain: Exact results Viti, Jacopo Field theory Inhomogeneous field theory Arctic circle |
title_short |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_full |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_fullStr |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_full_unstemmed |
Inhomogeneous quenches in a free fermionic chain: Exact results |
title_sort |
Inhomogeneous quenches in a free fermionic chain: Exact results |
author |
Viti, Jacopo |
author_facet |
Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul |
author_role |
author |
author2 |
Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Viti, Jacopo Stéphan, Jean-Marie Dubail, Jérôme Haque, Masudul |
dc.subject.por.fl_str_mv |
Field theory Inhomogeneous field theory Arctic circle |
topic |
Field theory Inhomogeneous field theory Arctic circle |
description |
We consider the non-equilibrium physics induced by joining together two tight-binding fermionic chains to form a single chain. Before being joined, each chain is in a many-fermion ground state. The fillings (densities) in the two chains might be different. We present a number of exact results, focusing on two-point correlators and the Loschmidt echo (return probability). For the non-interacting case, we identify through an exact derivation the regime in which a semiclassical ansatz is valid. We present a number of analytical results beyond semiclassics, such as the approach to the non-equilibrium steady state and the appearance of Tracy-Widom distributions at the front of the light cone. The light cone behavior is quantified through a series expansion in time, and this description is shown to be valid for interacting systems as well. Results on the Loschmidt echo, presented for finite and zero interactions, illustrate that the physics is different from both local and global quenches |
publishDate |
2016 |
dc.date.issued.fl_str_mv |
2016-05-19 |
dc.date.accessioned.fl_str_mv |
2020-10-08T22:30:30Z |
dc.date.available.fl_str_mv |
2020-10-08T22:30:30Z |
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 |
VITI, Jacopo; STÉPHAN, Jean-Marie; DUBAIL, Jérôme; HAQUE, Masudul. Inhomogeneous quenches in a free fermionic chain: exact results. EPL (Europhysics Letters), [S.L.], v. 115, n. 4, p. 40011, 1 ago. 2016. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/115/40011. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/115/40011 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/handle/123456789/30330 |
dc.identifier.issn.none.fl_str_mv |
1286-4854 |
dc.identifier.doi.none.fl_str_mv |
10.1209/0295-5075/115/40011 |
identifier_str_mv |
VITI, Jacopo; STÉPHAN, Jean-Marie; DUBAIL, Jérôme; HAQUE, Masudul. Inhomogeneous quenches in a free fermionic chain: exact results. EPL (Europhysics Letters), [S.L.], v. 115, n. 4, p. 40011, 1 ago. 2016. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/115/40011. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/115/40011 1286-4854 10.1209/0295-5075/115/40011 |
url |
https://repositorio.ufrn.br/handle/123456789/30330 |
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 |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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