The effect of the negative coupling parameter on the spectrum of a trapped Bose gas
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2010
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Resumo |
The interest in attractive Bose-Einstein Condensates arises due to the chemical instabilities generate when the number of trapped atoms is above a critical number. In this case, recombination process promotes the collapse of the cloud. This behavior is normally geometry dependent. Within the context of the mean field approximation, the system is described by the Gross-Pitaevskii equation. We have considered the attractive Bose-Einstein condensate, confined in a nonspherical trap, investigating numerically and analytically the solutions, using controlled perturbation and self-similar approximation methods. This approximation is valid in all interval of the negative coupling parameter allowing interpolation between weak-coupling and strong-coupling limits. When using the self-similar approximation methods, accurate analytical formulas were derived. These obtained expressions are discussed for several different traps and may contribute to the understanding of experimental observations. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) CAPES CNPQ (Brazilian agencies) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) |
Identificador |
JOURNAL OF MATHEMATICAL CHEMISTRY, v.47, n.2, p.636-646, 2010 0259-9791 http://producao.usp.br/handle/BDPI/29630 10.1007/s10910-009-9591-8 |
Idioma(s) |
eng |
Publicador |
SPRINGER |
Relação |
Journal of Mathematical Chemistry |
Direitos |
restrictedAccess Copyright SPRINGER |
Palavras-Chave | #Bose-Einstein condensation #Negative coupling parameter #EINSTEIN CONDENSATION #PERTURBATION-THEORY #MECHANICS #ROTATION #Chemistry, Multidisciplinary #Mathematics, Interdisciplinary Applications |
Tipo |
article original article publishedVersion |