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Doctoral Thesis
DOI
https://doi.org/10.11606/T.43.2002.tde-18022014-161316
Document
Author
Full name
Renata Benedicto Prandini
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2002
Supervisor
Committee
Piza, Antonio Fernando Ribeiro de Toledo (President)
Bagnato, Vanderlei Salvador
Gammal, Arnaldo
Hussein, Mahir Saleh
Kraenkel, Roberto Andre
Title in Portuguese
Dinâmica de dois condensados de Bose-Einstein - Tratamento de campo médio
Keywords in Portuguese
Coexistence and phase separation
Equation Gross-Pitaevski
Potential cigar-shaped
Quantum mechanics
Two Bose-Einstein
Abstract in Portuguese
Investigamos o sistema formado por dois condensados aprisionados em estados hiperfinos diferentes do Rubídio, num potencial em forma de charuto, ou seja, num sistema físico real e quase-unidimensional. É investigada a dependência das soluções das equações de Gross-Pitaevski com a separação entre as armadilhas, bem como com o parâmetro de acoplamento de Josephson, para três valores diferentes do número total de átomos aprisionados. Para alguns conjuntos de parâmetros constatamos a existência de estados metaestáveis. O observável que escolhemos para caracterizar tal sistema físico foi a separação média entre os pacotes, pois os dois ramos de soluções encontramos correspondem a soluções mais juntas ou mais separadas espacialmente.
Title in English
Dynamics of two Bose-Einstein condensates: mean-field treatment
Keywords in English
Cigar-shaped potential
Coexistence and phase separation
Gross-Pitaevski equation
Quantum mechanics
Two Bose-Einstein condensates
Abstract in English
We study the system formed by two coupled condensates of different Rubidium hyperfine states trapped in a cigar shaped potential, that is, a real quasi one-dimensional system. The dependency of the solution of the Gross-Pitaevski equations is investigated as a function of trap displacement and Josephson coupling parameter for three different values of the total trapped atoms number. For some sets of parameters we report the existence of metastable states. The observable we chose to characterize this system was the mean separation between the packages, because we found two branches which correspond to closer or more separated solutions.
 
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36202Prandini.pdf (2.64 Mbytes)
Publishing Date
2014-02-18
 
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