Collective Excitations and Nonlinear Dynamics of 1D
BEC with Two- and Three-body Interactions in Anharmonic Traps |
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| Authors: | LI Guan-Qiang PENG Ping LIU Jian-Ke XUE Ju-Kui |
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| Institution: | 1. Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, China
;2. Physics and Electronics Engineering College, Northwest Normal
University, Lanzhou 730070, China |
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| Abstract: | The collective excitations of low-dimensional Bose-Einstein
condensates with two- and three-body interactions in anharmonic
potentials are investigated. Using the standard variational approach, the governing equations of motions for the low-energy excitations are obtained by solving time-dependent
Gross-Pitaevskii-Ginzburg equation, and the excitation spectrums are calculated in small amplitude limit. The frequency shift and nonlinear mode coupling induced by the anharmonic distortion
(adding cubic, quartic, or quintic term to a harmonic trap) are studied. |
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| Keywords: | collective excitations Gross-Pitaevskii-Ginzburg equation anharmonic trapping potentials frequency shift of low-energy excitations non-resonant mode coupling |
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