Collective Excitations and Nonlinear Dynamics of 1D BEC with Two- and Three-body Interactions in Anharmonic Traps

摘要

The collective excitations of low-dimensional Bose-Einstein condensates with two-and three-body inter-actions in anharmonic potentials are investigated.Using the standard variational approach,the governing equationsof 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 couplinginduced by the anharmonic distortion(adding cubic,quartic,or quintic term to a harmonic trap)are studied.