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Title: Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms

Abstract

Gaussian distribution is commonly used as a good approximation to study the trapped one-component Bose-condensed atoms with relatively small nonlinear effect. It is not adequate in dealing with the one-component system of large nonlinear effect, nor the two-component system where phase separation exists. We propose a modified Gaussian distribution which is more effective when dealing with the one-component system with relatively large nonlinear terms as well as the two-component system. The modified Gaussian is also used to study the breathing modes of the two-component system, which shows a drastic change in the mode dispersion at the occurrence of the phase separation. The results obtained are in agreement with other numerical results.

Authors:
;  [1]
  1. Department of Physics, National Taiwan Normal University, Taipei 11650, Taiwan (China)
Publication Date:
OSTI Identifier:
20982160
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.023609; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ATOMS; BOSE-EINSTEIN CONDENSATION; GAUSS FUNCTION; NONLINEAR PROBLEMS; PHYSICAL PROPERTIES; TRAPPING

Citation Formats

Huang, Chou-Chun, and Wu, Wen-Chin. Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.023609.
Huang, Chou-Chun, & Wu, Wen-Chin. Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms. United States. doi:10.1103/PHYSREVA.75.023609.
Huang, Chou-Chun, and Wu, Wen-Chin. Thu . "Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms". United States. doi:10.1103/PHYSREVA.75.023609.
@article{osti_20982160,
title = {Using modified Gaussian distributions to study the physical properties of one- and two-component ultracold atoms},
author = {Huang, Chou-Chun and Wu, Wen-Chin},
abstractNote = {Gaussian distribution is commonly used as a good approximation to study the trapped one-component Bose-condensed atoms with relatively small nonlinear effect. It is not adequate in dealing with the one-component system of large nonlinear effect, nor the two-component system where phase separation exists. We propose a modified Gaussian distribution which is more effective when dealing with the one-component system with relatively large nonlinear terms as well as the two-component system. The modified Gaussian is also used to study the breathing modes of the two-component system, which shows a drastic change in the mode dispersion at the occurrence of the phase separation. The results obtained are in agreement with other numerical results.},
doi = {10.1103/PHYSREVA.75.023609},
journal = {Physical Review. A},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}