Control of the geometric phase and pseudospin dynamics on coupled BoseEinstein condensates
Abstract
We describe the behavior of two coupled BoseEinstein condensates in timedependent (TD) trap potentials and TD Rabi (or tunneling) frequency using the twomode approach. Starting from Bloch states, we succeed in obtaining analytical solutions for the TD Schroedinger equation and present a detailed analysis of the relative and geometric phases acquired by the wave function of the condensates, as well as their population imbalance. We also establish a connection between the geometric phases and constants of motion which characterize the dynamic of the system. Besides analyzing the affects of temporality on condensates that differ by hyperfine degrees of freedom (internal Josephson effect), we also do present a brief discussion of a onespecies condensate in a doublewell potential (external Josephson effect)
 Authors:
 Departamento de Fisica, Universidade Federal de Sao Carlos, 13565905, Sao Carlos, SP (Brazil)
 (Brazil)
 Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Caixa Postal 369, 13560970, Sao Carlos, Sao Paulo (Brazil)
 Publication Date:
 OSTI Identifier:
 20982244
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032113; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ANALYTICAL SOLUTION; BOSEEINSTEIN CONDENSATION; CONDENSATES; DEGREES OF FREEDOM; HYPERFINE STRUCTURE; JOSEPHSON EFFECT; PHOTONATOM COLLISIONS; POTENTIALS; SCHROEDINGER EQUATION; TIME DEPENDENCE; TRAPS; TUNNEL EFFECT; WAVE FUNCTIONS
Citation Formats
Duzzioni, E. I., Mizrahi, S. S., Sanz, L., Instituto de Fisica, Universidade Federal de Uberlandia, Caixa Postal 593, 38400902, Uberlandia, Minas Gerais, and Moussa, M. H. Y.. Control of the geometric phase and pseudospin dynamics on coupled BoseEinstein condensates. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVA.75.032113.
Duzzioni, E. I., Mizrahi, S. S., Sanz, L., Instituto de Fisica, Universidade Federal de Uberlandia, Caixa Postal 593, 38400902, Uberlandia, Minas Gerais, & Moussa, M. H. Y.. Control of the geometric phase and pseudospin dynamics on coupled BoseEinstein condensates. United States. doi:10.1103/PHYSREVA.75.032113.
Duzzioni, E. I., Mizrahi, S. S., Sanz, L., Instituto de Fisica, Universidade Federal de Uberlandia, Caixa Postal 593, 38400902, Uberlandia, Minas Gerais, and Moussa, M. H. Y.. Thu .
"Control of the geometric phase and pseudospin dynamics on coupled BoseEinstein condensates". United States.
doi:10.1103/PHYSREVA.75.032113.
@article{osti_20982244,
title = {Control of the geometric phase and pseudospin dynamics on coupled BoseEinstein condensates},
author = {Duzzioni, E. I. and Mizrahi, S. S. and Sanz, L. and Instituto de Fisica, Universidade Federal de Uberlandia, Caixa Postal 593, 38400902, Uberlandia, Minas Gerais and Moussa, M. H. Y.},
abstractNote = {We describe the behavior of two coupled BoseEinstein condensates in timedependent (TD) trap potentials and TD Rabi (or tunneling) frequency using the twomode approach. Starting from Bloch states, we succeed in obtaining analytical solutions for the TD Schroedinger equation and present a detailed analysis of the relative and geometric phases acquired by the wave function of the condensates, as well as their population imbalance. We also establish a connection between the geometric phases and constants of motion which characterize the dynamic of the system. Besides analyzing the affects of temporality on condensates that differ by hyperfine degrees of freedom (internal Josephson effect), we also do present a brief discussion of a onespecies condensate in a doublewell potential (external Josephson effect)},
doi = {10.1103/PHYSREVA.75.032113},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}

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