Collective excitations of a Bose-Einstein condensate in an anharmonic trap

Journal Article · Wed Nov 15 04:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.055601· OSTI ID:20974805

Guanqiang, Li ^[1]; Libin, Fu; Jie, Liu ^[1]; Jukui, Xue ^[2]; Xuzong, Chen ^[3]

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1. Institute of Applied Physics and Computational Mathematics, P. O. Box 8009 (28), 100088 Beijing (China)
2. Physics and Electronics Engineering College, Northwest Normal University, 730070 Lanzhou (China)
3. Key Laboratory for Quantum Information and Measurements, Ministry of Education, School of Electronics Engineering and Computer Science, Peking University, Beijing 100871 (China)

We investigate the collective excitations of a one-dimensional Bose-Einstein condensate with repulsive interaction between atoms in a quadratic plus quartic trap. Using variational approaches, the coupled equations of motions for the center-of-mass coordinate of the condensate and its width are derived. Then, two low-energy excitation modes are obtained analytically. The frequency shift induced by the anharmonic distortion, and the collapse and revival of the collective excitations originating from the nonlinear coupling between the two modes, are discussed.

• OSTI ID: 20974805
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
CENTER-OF-MASS SYSTEM
COLLECTIVE EXCITATIONS
COUPLING
EQUATIONS OF MOTION
INTERACTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SPECTRAL SHIFT
TRAPS
VARIATIONAL METHODS