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Collective Excitations and Nonlinear Dynamics of 1DBEC with Two- and Three-body Interactions in Anharmonic Traps
Authors:LI Guan-Qiang  PENG Ping  LIU Jian-Ke  XUE Ju-Kui
Affiliation:1. Faculty of Science, Shaanxi University of Science and Technology, Xi'an 710021, China;2. Physics and Electronics Engineering College, Northwest NormalUniversity, Lanzhou 730070, China
Abstract:The collective excitations of low-dimensional Bose-Einsteincondensates with two- and three-body interactions in anharmonicpotentials are investigated. Using the standard variational approach, the governing equations of motions for the low-energy excitations are obtained by solving time-dependentGross-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.
Keywords:collective excitations   Gross-Pitaevskii-Ginzburg equation   anharmonic trappingpotentials   frequency shift of low-energy excitations   non-resonant mode coupling   
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