Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://iopscience.iop.org/article/10.1088/0953-4075/48/2/025302/meta http://hdl.handle.net/11449/128929 |
Resumo: | The spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic of great interest in different fields of physics. In this paper we study weakly bound states of non-relativistic two and three boson systems when passing continuously from a three (3D) to a two-dimensional (2D) regime within a 'squeezed dimension' model. We use periodic boundary conditions to derive a surprisingly simple form of the three-boson Schrodinger equation in momentum space that we solve numerically. Our results show a distinct dimensional crossover as three-boson states will either disappear into the continuum or merge with a 2D counterpart, and also a series of sharp transitions in the ratios of three-body and two-body energies from being purely 2D to purely 3D. |
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Repositório Institucional da UNESP |
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Weakly bound states of two- and three-boson systems in the crossover from two to three dimensionsCold atomsEfimov statesLow-dimensional systemsThe spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic of great interest in different fields of physics. In this paper we study weakly bound states of non-relativistic two and three boson systems when passing continuously from a three (3D) to a two-dimensional (2D) regime within a 'squeezed dimension' model. We use periodic boundary conditions to derive a surprisingly simple form of the three-boson Schrodinger equation in momentum space that we solve numerically. Our results show a distinct dimensional crossover as three-boson states will either disappear into the continuum or merge with a 2D counterpart, and also a series of sharp transitions in the ratios of three-body and two-body energies from being purely 2D to purely 3D.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Danish Council for Independent Research DFF Natural SciencesDFF Sapere Aude programUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), BR-01156970 São Paulo, SP, BrasilInstituto de Tecnologia Aeronáutica (ITA), BR-12228900 São José dos Campos, SP, BrasilAarhus University, Department of Physics and Astronomy, DK-8000 Aarhus C, DenmarkInstituto de Fomento e Coordenação Industrial, BR-12228901 São José dos Campos, SP, BrasilUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), BR-01156970 São Paulo, SP, BrasilFAPESP: 2013/04093-3CAPES: 88881.030363/2013-01Iop Publishing LtdUniversidade Estadual Paulista (Unesp)Instituto Tecnológico de Aeronáutica (ITA)Aarhus UnivInst Fomento & Coordenacao IndYamashita, M. T. [UNESP]Bellotti, F. F.Frederico, T.Fedorov, D. V.Jensen, A. S.Zinner, N. T.2015-10-21T14:09:33Z2015-10-21T14:09:33Z2015-01-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-6application/pdfhttp://iopscience.iop.org/article/10.1088/0953-4075/48/2/025302/metaJournal Of Physics B-atomic Molecular And Optical Physics. Bristol: Iop Publishing Ltd, v. 48, n. 2, p. 1-6, 2015.0953-4075http://hdl.handle.net/11449/12892910.1088/0953-4075/48/2/025302WOS:000347108300011WOS000347108300011.pdf3740639726545315Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Physics B-atomic Molecular And Optical Physics2.1190,850info:eu-repo/semantics/openAccess2023-10-03T06:03:07Zoai:repositorio.unesp.br:11449/128929Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-05-23T11:20:56.744709Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
title |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
spellingShingle |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions Yamashita, M. T. [UNESP] Cold atoms Efimov states Low-dimensional systems |
title_short |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
title_full |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
title_fullStr |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
title_full_unstemmed |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
title_sort |
Weakly bound states of two- and three-boson systems in the crossover from two to three dimensions |
author |
Yamashita, M. T. [UNESP] |
author_facet |
Yamashita, M. T. [UNESP] Bellotti, F. F. Frederico, T. Fedorov, D. V. Jensen, A. S. Zinner, N. T. |
author_role |
author |
author2 |
Bellotti, F. F. Frederico, T. Fedorov, D. V. Jensen, A. S. Zinner, N. T. |
author2_role |
author author author author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) Instituto Tecnológico de Aeronáutica (ITA) Aarhus Univ Inst Fomento & Coordenacao Ind |
dc.contributor.author.fl_str_mv |
Yamashita, M. T. [UNESP] Bellotti, F. F. Frederico, T. Fedorov, D. V. Jensen, A. S. Zinner, N. T. |
dc.subject.por.fl_str_mv |
Cold atoms Efimov states Low-dimensional systems |
topic |
Cold atoms Efimov states Low-dimensional systems |
description |
The spectrum and properties of quantum bound states is strongly dependent on the dimensionality of space. How this comes about and how one may theoretically and experimentally study the interpolation between different dimensions is a topic of great interest in different fields of physics. In this paper we study weakly bound states of non-relativistic two and three boson systems when passing continuously from a three (3D) to a two-dimensional (2D) regime within a 'squeezed dimension' model. We use periodic boundary conditions to derive a surprisingly simple form of the three-boson Schrodinger equation in momentum space that we solve numerically. Our results show a distinct dimensional crossover as three-boson states will either disappear into the continuum or merge with a 2D counterpart, and also a series of sharp transitions in the ratios of three-body and two-body energies from being purely 2D to purely 3D. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-10-21T14:09:33Z 2015-10-21T14:09:33Z 2015-01-28 |
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.uri.fl_str_mv |
http://iopscience.iop.org/article/10.1088/0953-4075/48/2/025302/meta Journal Of Physics B-atomic Molecular And Optical Physics. Bristol: Iop Publishing Ltd, v. 48, n. 2, p. 1-6, 2015. 0953-4075 http://hdl.handle.net/11449/128929 10.1088/0953-4075/48/2/025302 WOS:000347108300011 WOS000347108300011.pdf 3740639726545315 |
url |
http://iopscience.iop.org/article/10.1088/0953-4075/48/2/025302/meta http://hdl.handle.net/11449/128929 |
identifier_str_mv |
Journal Of Physics B-atomic Molecular And Optical Physics. Bristol: Iop Publishing Ltd, v. 48, n. 2, p. 1-6, 2015. 0953-4075 10.1088/0953-4075/48/2/025302 WOS:000347108300011 WOS000347108300011.pdf 3740639726545315 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal Of Physics B-atomic Molecular And Optical Physics 2.119 0,850 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1-6 application/pdf |
dc.publisher.none.fl_str_mv |
Iop Publishing Ltd |
publisher.none.fl_str_mv |
Iop Publishing Ltd |
dc.source.none.fl_str_mv |
Web of Science reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
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1803045807250735104 |