Bright solitons in a quasi-one-dimensional dipolar Bose-Einstein condensate

• Autor(a) principal: Chiquillo Márquez, Emerson Evaristo [UNESP]
• Data de Publicação: 2014
• Tipo de documento: Dissertação
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://hdl.handle.net/11449/108899
• topic: Condensação de Bose-Einstein; Equações de Gross-Pitaevskii

The ultracold atomic gases have provided an important environment for studying quantum many-particle systems in the last two decades. In 2005 the experimental realization of a 'INTPOT. 52 Cr' Bose-Einstein condensate with inter-atomic magnetic dipole dipole interaction opened the door to a new level in the research of degenerate quantum gases. As opposed to the usual contact interaction, this new interaction is long-range and anisotropic being partially repulsive or attractive. In the mean-?eld approximation initially are introduced the main issues about non-dipolar condensates with particular interest in the attractive regime (a< 0) where is possible the formation of bright solitons and the existence of instability by collapse beyond a certain critical value. The study is carried out mainly using a numerical method and a variational one. Later, the dipolar Bose-Einstein condensate is depicted by means of the non-local Gross-Pitaevskii equation. From the non-dipolar scenario by means of the extension in the numerical and the variational method is determined the formation of bright solitons in the GPE in the three-dimensional model and thequasi-one-dimensionaltothreedi?erentdipolarcondensatesofexperimentalrelevance, namely 'INTPOT. 52 Cr', 'INTPOT. 168 Er' and 'INTPOT. 164 Dy'. Plots of chemical potential and rms sizes of solitons are obtained. Finally, it is studied collision dynamics of two bright solitons in the quasi-1D dipolar model of every condensate above