https://doi.org/10.1140/epjd/e2002-00112-5
Low energy excitations of a quasi-2D Bose-Einstein condensate
1
CCAST (World Lab.), P.O. Box 8730, Beijing 100080, P.R. China
2
Department of physics, Lanzhou University, Lanzhou 730000, P.R. China
Corresponding author: a wangzc@lzu.edu.cn
Received:
31
October
2001
Revised:
1
March
2002
Published online:
28
June
2002
Starting from the Gross-Pitaevskii energy functional of the 3D Bose-Einstein Condensate, we derive approximately the energy functional and the effective coupling constant of the quasi-2D condensate. The evolution of the quasi-2D condensate wave function is studied by a variational method. Low energy excitation spectra for both positive and negative scattering lengths are analyzed. The condition of collapse instability of a quasi-2D Bose gas with attractive particle interaction is also proposed.
PACS: 03.75.Fi – Phase coherent atomic ensembles; quantum condensation phenomena / 03.65.Ge – Solutions of wave equations: bound states
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002