Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/206300 |
Resumo: | We study a three-mode Hamiltonian modelling a heteronuclear molecular Bose–Einstein condensate. Two modes are associated with two distinguishable atomic constituents, which can combine to form a molecule represented by the third mode. Beginning with a semi-classical analogue of the model, we conduct an analysis to determine the phase space fixed points of the system. Bifurcations of the fixed points naturally separate the coupling parameter space into different regions. Two distinct scenarios are found, dependent on whether the imbalance between the number operators for the atomic modes is zero or non-zero. This result suggests the ground-state properties of the model exhibit an unusual sensitivity on the atomic imbalance. We then test this finding for the quantum mechanical model. Specifically we use Bethe ansatz methods, ground-state expectation values, the character of the quantum dynamics, and ground-state wavefunction overlaps to clarify the nature of the ground-state phases. The character of the transition is smoothed due to quantum fluctuations, but we may nonetheless identify the emergence of a quantum phase boundary in the limit of zero atomic imbalance. |
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Duncan, MelissaFoerster, AngelaLinks, JonMattei, Eduardo CeruttiOelkers, NormanTonel, Arlei Prestes2020-02-28T04:05:48Z20070550-3213http://hdl.handle.net/10183/206300000595165We study a three-mode Hamiltonian modelling a heteronuclear molecular Bose–Einstein condensate. Two modes are associated with two distinguishable atomic constituents, which can combine to form a molecule represented by the third mode. Beginning with a semi-classical analogue of the model, we conduct an analysis to determine the phase space fixed points of the system. Bifurcations of the fixed points naturally separate the coupling parameter space into different regions. Two distinct scenarios are found, dependent on whether the imbalance between the number operators for the atomic modes is zero or non-zero. This result suggests the ground-state properties of the model exhibit an unusual sensitivity on the atomic imbalance. We then test this finding for the quantum mechanical model. Specifically we use Bethe ansatz methods, ground-state expectation values, the character of the quantum dynamics, and ground-state wavefunction overlaps to clarify the nature of the ground-state phases. The character of the transition is smoothed due to quantum fluctuations, but we may nonetheless identify the emergence of a quantum phase boundary in the limit of zero atomic imbalance.application/pdfengNuclear physics. B. Amsterdam. Vol. 767, no. 3 (Apr. 2007), p. 227-249Condensação Bose-EinsteinTransformações de faseFísica quânticaQuantum phasesBethe ansatzMolecular Bose–Einstein condensateEmergent quantum phases in a heteronuclear molecular Bose-Einstein condensate modelEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSTEXT000595165.pdf.txt000595165.pdf.txtExtracted Texttext/plain48609http://www.lume.ufrgs.br/bitstream/10183/206300/2/000595165.pdf.txte8e40f0ebfa78e3817f22ba28ec5aac9MD52ORIGINAL000595165.pdfTexto completo (inglês)application/pdf1071234http://www.lume.ufrgs.br/bitstream/10183/206300/1/000595165.pdfe06af0b927c7b525854a03fbbcffd96dMD5110183/2063002023-06-28 03:27:03.451365oai:www.lume.ufrgs.br:10183/206300Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2023-06-28T06:27:03Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
title |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
spellingShingle |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model Duncan, Melissa Condensação Bose-Einstein Transformações de fase Física quântica Quantum phases Bethe ansatz Molecular Bose–Einstein condensate |
title_short |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
title_full |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
title_fullStr |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
title_full_unstemmed |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
title_sort |
Emergent quantum phases in a heteronuclear molecular Bose-Einstein condensate model |
author |
Duncan, Melissa |
author_facet |
Duncan, Melissa Foerster, Angela Links, Jon Mattei, Eduardo Cerutti Oelkers, Norman Tonel, Arlei Prestes |
author_role |
author |
author2 |
Foerster, Angela Links, Jon Mattei, Eduardo Cerutti Oelkers, Norman Tonel, Arlei Prestes |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Duncan, Melissa Foerster, Angela Links, Jon Mattei, Eduardo Cerutti Oelkers, Norman Tonel, Arlei Prestes |
dc.subject.por.fl_str_mv |
Condensação Bose-Einstein Transformações de fase Física quântica |
topic |
Condensação Bose-Einstein Transformações de fase Física quântica Quantum phases Bethe ansatz Molecular Bose–Einstein condensate |
dc.subject.eng.fl_str_mv |
Quantum phases Bethe ansatz Molecular Bose–Einstein condensate |
description |
We study a three-mode Hamiltonian modelling a heteronuclear molecular Bose–Einstein condensate. Two modes are associated with two distinguishable atomic constituents, which can combine to form a molecule represented by the third mode. Beginning with a semi-classical analogue of the model, we conduct an analysis to determine the phase space fixed points of the system. Bifurcations of the fixed points naturally separate the coupling parameter space into different regions. Two distinct scenarios are found, dependent on whether the imbalance between the number operators for the atomic modes is zero or non-zero. This result suggests the ground-state properties of the model exhibit an unusual sensitivity on the atomic imbalance. We then test this finding for the quantum mechanical model. Specifically we use Bethe ansatz methods, ground-state expectation values, the character of the quantum dynamics, and ground-state wavefunction overlaps to clarify the nature of the ground-state phases. The character of the transition is smoothed due to quantum fluctuations, but we may nonetheless identify the emergence of a quantum phase boundary in the limit of zero atomic imbalance. |
publishDate |
2007 |
dc.date.issued.fl_str_mv |
2007 |
dc.date.accessioned.fl_str_mv |
2020-02-28T04:05:48Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/206300 |
dc.identifier.issn.pt_BR.fl_str_mv |
0550-3213 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000595165 |
identifier_str_mv |
0550-3213 000595165 |
url |
http://hdl.handle.net/10183/206300 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Nuclear physics. B. Amsterdam. Vol. 767, no. 3 (Apr. 2007), p. 227-249 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFRGS instname:Universidade Federal do Rio Grande do Sul (UFRGS) instacron:UFRGS |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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