Energy barriers between metastable states in first-order quantum phase transitions

Autores
Wald, Sascha; Timpanaro, André M.; Cormick, Maria Cecilia; Landi, Gabriel T.
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first-order quantum phase transition between a Mott insulator and a charge density wave, with spontaneous symmetry breaking between even and odd sites, as was recently observed experimentally [Landig, Nature (London) 532, 476 (2016)10.1038/nature17409]. In the present paper, we approach the analysis of this transition using a variational model which allows us to establish the notion of an energy barrier separating the two phases. Using a discrete WKB method, we then show that the local tunneling of atoms between adjacent sites lowers this energy barrier and hence facilitates the transition. Within our simplified description, we are thus able to augment the phase diagram of the model with information concerning the height of the barrier separating the metastable minima from the global minimum in each phase, which is an essential aspect for the understanding of the reconfiguration dynamics induced by a quench across a quantum critical point.
Fil: Wald, Sascha. Sissa - International School For Advanced Studies; Italia. Universitat Saarland; Alemania
Fil: Timpanaro, André M.. Universidade Federal Do Abc; Brasil
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Landi, Gabriel T.. Universidade de Sao Paulo; Brasil
Materia
QUANTUM PHASE TRANSITIONS
ULTRACOLD ATOMS
LONG-RANGE INTERACTIONS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/90486
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Energy barriers between metastable states in first-order quantum phase transitionsWald, SaschaTimpanaro, André M.Cormick, Maria CeciliaLandi, Gabriel T.QUANTUM PHASE TRANSITIONSULTRACOLD ATOMSLONG-RANGE INTERACTIONShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first-order quantum phase transition between a Mott insulator and a charge density wave, with spontaneous symmetry breaking between even and odd sites, as was recently observed experimentally [Landig, Nature (London) 532, 476 (2016)10.1038/nature17409]. In the present paper, we approach the analysis of this transition using a variational model which allows us to establish the notion of an energy barrier separating the two phases. Using a discrete WKB method, we then show that the local tunneling of atoms between adjacent sites lowers this energy barrier and hence facilitates the transition. Within our simplified description, we are thus able to augment the phase diagram of the model with information concerning the height of the barrier separating the metastable minima from the global minimum in each phase, which is an essential aspect for the understanding of the reconfiguration dynamics induced by a quench across a quantum critical point.Fil: Wald, Sascha. Sissa - International School For Advanced Studies; Italia. Universitat Saarland; AlemaniaFil: Timpanaro, André M.. Universidade Federal Do Abc; BrasilFil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Landi, Gabriel T.. Universidade de Sao Paulo; BrasilAmerican Physical Society2018-02-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfhttp://hdl.handle.net/11336/90486Wald, Sascha; Timpanaro, André M.; Cormick, Maria Cecilia; Landi, Gabriel T.; Energy barriers between metastable states in first-order quantum phase transitions; American Physical Society; Physical Review A; 97; 2; 5-2-2018; 0236082469-99341050-2947CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.023608info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1712.07180info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.97.023608info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:25:00Zoai:ri.conicet.gov.ar:11336/90486instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:25:01.195CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Energy barriers between metastable states in first-order quantum phase transitions
title Energy barriers between metastable states in first-order quantum phase transitions
spellingShingle Energy barriers between metastable states in first-order quantum phase transitions
Wald, Sascha
QUANTUM PHASE TRANSITIONS
ULTRACOLD ATOMS
LONG-RANGE INTERACTIONS
title_short Energy barriers between metastable states in first-order quantum phase transitions
title_full Energy barriers between metastable states in first-order quantum phase transitions
title_fullStr Energy barriers between metastable states in first-order quantum phase transitions
title_full_unstemmed Energy barriers between metastable states in first-order quantum phase transitions
title_sort Energy barriers between metastable states in first-order quantum phase transitions
dc.creator.none.fl_str_mv Wald, Sascha
Timpanaro, André M.
Cormick, Maria Cecilia
Landi, Gabriel T.
author Wald, Sascha
author_facet Wald, Sascha
Timpanaro, André M.
Cormick, Maria Cecilia
Landi, Gabriel T.
author_role author
author2 Timpanaro, André M.
Cormick, Maria Cecilia
Landi, Gabriel T.
author2_role author
author
author
dc.subject.none.fl_str_mv QUANTUM PHASE TRANSITIONS
ULTRACOLD ATOMS
LONG-RANGE INTERACTIONS
topic QUANTUM PHASE TRANSITIONS
ULTRACOLD ATOMS
LONG-RANGE INTERACTIONS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first-order quantum phase transition between a Mott insulator and a charge density wave, with spontaneous symmetry breaking between even and odd sites, as was recently observed experimentally [Landig, Nature (London) 532, 476 (2016)10.1038/nature17409]. In the present paper, we approach the analysis of this transition using a variational model which allows us to establish the notion of an energy barrier separating the two phases. Using a discrete WKB method, we then show that the local tunneling of atoms between adjacent sites lowers this energy barrier and hence facilitates the transition. Within our simplified description, we are thus able to augment the phase diagram of the model with information concerning the height of the barrier separating the metastable minima from the global minimum in each phase, which is an essential aspect for the understanding of the reconfiguration dynamics induced by a quench across a quantum critical point.
Fil: Wald, Sascha. Sissa - International School For Advanced Studies; Italia. Universitat Saarland; Alemania
Fil: Timpanaro, André M.. Universidade Federal Do Abc; Brasil
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Landi, Gabriel T.. Universidade de Sao Paulo; Brasil
description A system of neutral atoms trapped in an optical lattice and dispersively coupled to the field of an optical cavity can realize a variation of the Bose-Hubbard model with infinite-range interactions. This model exhibits a first-order quantum phase transition between a Mott insulator and a charge density wave, with spontaneous symmetry breaking between even and odd sites, as was recently observed experimentally [Landig, Nature (London) 532, 476 (2016)10.1038/nature17409]. In the present paper, we approach the analysis of this transition using a variational model which allows us to establish the notion of an energy barrier separating the two phases. Using a discrete WKB method, we then show that the local tunneling of atoms between adjacent sites lowers this energy barrier and hence facilitates the transition. Within our simplified description, we are thus able to augment the phase diagram of the model with information concerning the height of the barrier separating the metastable minima from the global minimum in each phase, which is an essential aspect for the understanding of the reconfiguration dynamics induced by a quench across a quantum critical point.
publishDate 2018
dc.date.none.fl_str_mv 2018-02-05
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/90486
Wald, Sascha; Timpanaro, André M.; Cormick, Maria Cecilia; Landi, Gabriel T.; Energy barriers between metastable states in first-order quantum phase transitions; American Physical Society; Physical Review A; 97; 2; 5-2-2018; 023608
2469-9934
1050-2947
CONICET Digital
CONICET
url http://hdl.handle.net/11336/90486
identifier_str_mv Wald, Sascha; Timpanaro, André M.; Cormick, Maria Cecilia; Landi, Gabriel T.; Energy barriers between metastable states in first-order quantum phase transitions; American Physical Society; Physical Review A; 97; 2; 5-2-2018; 023608
2469-9934
1050-2947
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.023608
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1712.07180
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.97.023608
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/zip
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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