Mean-field approach to excitations of a trapped Bose-Einstein condensate gas at finite temperatures

Journal Article · Fri Apr 01 04:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.71.043613· OSTI ID:20653337

Tohyama, M ^[1]

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1. Kyorin University School of Medicine, Mitaka, Tokyo 181-8611 (Japan)

The monopole and quadrupole oscillations of a Bose-Einstein condensate (BEC) gas trapped in a spherically symmetric potential are calculated using the time-dependent Hartree approximation which enables us to use an orthonormal single-particle basis for the description of both the condensate and noncondensate components. It is found that the monopole mode has a much smaller damping rate than the quadrupole mode. The obtained temperature dependence of the frequency shifts and the damping rates of the collective oscillations are found to be consistent with experimental data obtained for BEC gases in anisotropic trapping potentials. A comparison between the time-dependent Hartree approximation and the time-dependent Hartree-Fock approximation is also made and it is found that there is a rather small difference.

• OSTI ID: 20653337
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 71; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
COMPARATIVE EVALUATIONS
DAMPING
EXCITATION
HARTREE-FOCK METHOD
MEAN-FIELD THEORY
OSCILLATIONS
PARTICLES
POTENTIALS
QUADRUPOLES
TEMPERATURE DEPENDENCE
TIME DEPENDENCE
TRAPPING