Phase diagram of the two-fluid Lipkin model : a &quot

Background: In the last few decades quantum phase transitions have been of great interest in Nuclear Physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition evolves when moving into more complex systems, but the number of publicatio...

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Autores: García Ramos, José Enrique, Pérez Fernández, Pedro, Arias Carrasco, José Miguel, Freire, Emilio
Tipo de recurso: artículo
Fecha de publicación:2016
País:España
Institución:Universidad de Huelva (UHU)
Repositorio:Arias Montano. Repositorio Institucional de la Universidad de Huelva
Idioma:inglés
OAI Identifier:oai:ariasmontano.uhu.es:10272/11792
Acceso en línea:http://hdl.handle.net/10272/11792
Access Level:acceso abierto
Palabra clave:Lipkin model
Two-fluid system
Mean field
Catastrophe theory
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spelling Phase diagram of the two-fluid Lipkin model : a &quotbutterfly&quotcatastropheGarcía Ramos, José EnriquePérez Fernández, PedroArias Carrasco, José MiguelFreire, EmilioLipkin modelTwo-fluid systemMean fieldCatastrophe theoryBackground: In the last few decades quantum phase transitions have been of great interest in Nuclear Physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition evolves when moving into more complex systems, but the number of publications along this line has been scarce up to now. Purpose: We intend to determine the phase diagram of a two-fluid Lipkin model, that resembles the nuclear proton-neutron interacting boson model Hamiltonian, using both numerical results and analytic tools, i.e., catastrophe theory, and to compare the mean-field results with exact diagonalizations for large systems. Method: The mean-field energy surface of a consistent-Q-like two-fluid Lipkin Hamiltonian is studied and compared with exact results coming from a direct diagonalization. The mean-field results are analyzed using the framework of catastrophe theory. Results: The phase diagram of the model is obtained and the order of the different phase-transition lines and surfaces is determined using a catastrophe theory analysis. Conclusions: There are two first order surfaces in the phase diagram, one separating the spherical and the deformed shapes, while the other separates two different deformed phases. A second order line, where the later surfaces merge, is found. This line finishes in a transition point with a divergence in the second order derivative of the energy that corresponds to a tricritical point in the language of the Ginzburg-Landau theory for phase transitions.American Physical Society20162016-01-0120162016-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10272/11792reponame:Arias Montano. Repositorio Institucional de la Universidad de Huelvainstname:Universidad de Huelva (UHU)InglésengEuropean Regional Development Fund (FEDER) [FIS2014-53448-C2-1-P, FIS2014-53448-C2-2-P] Not available Not availableopen accesshttp://purl.org/coar/access_right/c_abf2Atribución-NoComercial-SinDerivadas 3.0 Españahttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:ariasmontano.uhu.es:10272/117922026-06-02T14:58:11Z
dc.title.none.fl_str_mv Phase diagram of the two-fluid Lipkin model : a &quot
butterfly&quot
catastrophe
title Phase diagram of the two-fluid Lipkin model : a &quot
spellingShingle Phase diagram of the two-fluid Lipkin model : a &quot
García Ramos, José Enrique
Lipkin model
Two-fluid system
Mean field
Catastrophe theory
title_short Phase diagram of the two-fluid Lipkin model : a &quot
title_full Phase diagram of the two-fluid Lipkin model : a &quot
title_fullStr Phase diagram of the two-fluid Lipkin model : a &quot
title_full_unstemmed Phase diagram of the two-fluid Lipkin model : a &quot
title_sort Phase diagram of the two-fluid Lipkin model : a &quot
dc.creator.none.fl_str_mv García Ramos, José Enrique
Pérez Fernández, Pedro
Arias Carrasco, José Miguel
Freire, Emilio
author García Ramos, José Enrique
author_facet García Ramos, José Enrique
Pérez Fernández, Pedro
Arias Carrasco, José Miguel
Freire, Emilio
author_role author
author2 Pérez Fernández, Pedro
Arias Carrasco, José Miguel
Freire, Emilio
author2_role author
author
author
dc.contributor.none.fl_str_mv
dc.subject.none.fl_str_mv Lipkin model
Two-fluid system
Mean field
Catastrophe theory
topic Lipkin model
Two-fluid system
Mean field
Catastrophe theory
description Background: In the last few decades quantum phase transitions have been of great interest in Nuclear Physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition evolves when moving into more complex systems, but the number of publications along this line has been scarce up to now. Purpose: We intend to determine the phase diagram of a two-fluid Lipkin model, that resembles the nuclear proton-neutron interacting boson model Hamiltonian, using both numerical results and analytic tools, i.e., catastrophe theory, and to compare the mean-field results with exact diagonalizations for large systems. Method: The mean-field energy surface of a consistent-Q-like two-fluid Lipkin Hamiltonian is studied and compared with exact results coming from a direct diagonalization. The mean-field results are analyzed using the framework of catastrophe theory. Results: The phase diagram of the model is obtained and the order of the different phase-transition lines and surfaces is determined using a catastrophe theory analysis. Conclusions: There are two first order surfaces in the phase diagram, one separating the spherical and the deformed shapes, while the other separates two different deformed phases. A second order line, where the later surfaces merge, is found. This line finishes in a transition point with a divergence in the second order derivative of the energy that corresponds to a tricritical point in the language of the Ginzburg-Landau theory for phase transitions.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01
2016
2016-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10272/11792
url http://hdl.handle.net/10272/11792
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv European Regional Development Fund (FEDER) [FIS2014-53448-C2-1-P, FIS2014-53448-C2-2-P] Not available Not available
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución-NoComercial-SinDerivadas 3.0 España
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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:Arias Montano. Repositorio Institucional de la Universidad de Huelva
instname:Universidad de Huelva (UHU)
instname_str Universidad de Huelva (UHU)
reponame_str Arias Montano. Repositorio Institucional de la Universidad de Huelva
collection Arias Montano. Repositorio Institucional de la Universidad de Huelva
repository.name.fl_str_mv
repository.mail.fl_str_mv
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