Condensation of bosons with several degrees of freedom

The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited as a first step to tackle the more complex case of a molecular condensate, where several degrees of freedom have to be taken into account. In the charged bose gas, the conventional approach is ex...

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Detalles Bibliográficos
Autor: Delgado López, Rafael
Tipo de recurso: tesis de maestría
Fecha de publicación:2013
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/36384
Acceso en línea:https://hdl.handle.net/20.500.14352/36384
Access Level:acceso abierto
Palabra clave:538.9
Statistical Mechanics
Macrocanonical Ensemble
Bose Einstein Condensation
Density of States
Degenerate Matter
Bogoliubov Interactions
Mecánica Estadística
Distribución Macrocanónica
Condensación de Bose Einstein
Densidad de Estados
Materia Degenerada
Interacciones de Bogoliubov
Física de materiales
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spelling Condensation of bosons with several degrees of freedomCondensación de bosones con varios grados de libertadDelgado López, Rafael538.9Statistical MechanicsMacrocanonical EnsembleBose Einstein CondensationDensity of StatesDegenerate MatterBogoliubov InteractionsMecánica EstadísticaDistribución MacrocanónicaCondensación de Bose EinsteinDensidad de EstadosMateria DegeneradaInteracciones de BogoliubovFísica de materialesThe condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited as a first step to tackle the more complex case of a molecular condensate, where several degrees of freedom have to be taken into account. In the charged bose gas, the conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to (1/2) NkB and a gradual condensation at lower temperatures. In the molecular case, which is currently in progress, we have studied the condensation of rotational levels in a two–dimensional trap within the Bogoliubov approximation, showing that multi–step condensation also occurs.Bargueño de Retes, PedroSols Lucia, FernandoUniversidad Complutense de Madrid20132013-06-0120132013-06-01master thesishttp://purl.org/coar/resource_type/c_bdccinfo:eu-repo/semantics/masterThesisapplication/pdfhttps://hdl.handle.net/20.500.14352/36384reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/363842026-06-02T12:44:21Z
dc.title.none.fl_str_mv Condensation of bosons with several degrees of freedom
Condensación de bosones con varios grados de libertad
title Condensation of bosons with several degrees of freedom
spellingShingle Condensation of bosons with several degrees of freedom
Delgado López, Rafael
538.9
Statistical Mechanics
Macrocanonical Ensemble
Bose Einstein Condensation
Density of States
Degenerate Matter
Bogoliubov Interactions
Mecánica Estadística
Distribución Macrocanónica
Condensación de Bose Einstein
Densidad de Estados
Materia Degenerada
Interacciones de Bogoliubov
Física de materiales
title_short Condensation of bosons with several degrees of freedom
title_full Condensation of bosons with several degrees of freedom
title_fullStr Condensation of bosons with several degrees of freedom
title_full_unstemmed Condensation of bosons with several degrees of freedom
title_sort Condensation of bosons with several degrees of freedom
dc.creator.none.fl_str_mv Delgado López, Rafael
author Delgado López, Rafael
author_facet Delgado López, Rafael
author_role author
dc.contributor.none.fl_str_mv Bargueño de Retes, Pedro
Sols Lucia, Fernando
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 538.9
Statistical Mechanics
Macrocanonical Ensemble
Bose Einstein Condensation
Density of States
Degenerate Matter
Bogoliubov Interactions
Mecánica Estadística
Distribución Macrocanónica
Condensación de Bose Einstein
Densidad de Estados
Materia Degenerada
Interacciones de Bogoliubov
Física de materiales
topic 538.9
Statistical Mechanics
Macrocanonical Ensemble
Bose Einstein Condensation
Density of States
Degenerate Matter
Bogoliubov Interactions
Mecánica Estadística
Distribución Macrocanónica
Condensación de Bose Einstein
Densidad de Estados
Materia Degenerada
Interacciones de Bogoliubov
Física de materiales
description The condensation of the spinless ideal charged Bose gas in the presence of a magnetic field is revisited as a first step to tackle the more complex case of a molecular condensate, where several degrees of freedom have to be taken into account. In the charged bose gas, the conventional approach is extended to include the macroscopic occupation of excited kinetic states lying in the lowest Landau level, which plays an essential role in the case of large magnetic fields. In that limit, signatures of two diffuse phase transitions (crossovers) appear in the specific heat. In particular, at temperatures lower than the cyclotron frequency, the system behaves as an effectively one-dimensional free boson system, with the specific heat equal to (1/2) NkB and a gradual condensation at lower temperatures. In the molecular case, which is currently in progress, we have studied the condensation of rotational levels in a two–dimensional trap within the Bogoliubov approximation, showing that multi–step condensation also occurs.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-06-01
2013
2013-06-01
dc.type.none.fl_str_mv master thesis
http://purl.org/coar/resource_type/c_bdcc
dc.type.openaire.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/36384
url https://hdl.handle.net/20.500.14352/36384
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
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
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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