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Dynamics of two Bose-Einstein condensates: mean-field treatment

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Author(s):
Renata Benedicto Prandini
Total Authors: 1
Document type: Doctoral Thesis
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Antonio Fernando Ribeiro de Toledo Piza; Vanderlei Salvador Bagnato; Arnaldo Gammal; Mahir Saleh Hussein; Roberto Andre Kraenkel
Advisor: Antonio Fernando Ribeiro de Toledo Piza
Abstract

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. (AU)