Analyzing Dynamics of a Bright Soliton in Bose-Einstein Condensates with Time-Dependent Atomic Scattering Length

摘要

We analyze the dynamics of a bright soliton in Bose-Einstein condensates (BECs) with time-dependentatomic scattering length in an expulsive parabolic potential.Under a safe range of parameters in which the Gross-Pitaevskii(GP) equation is effective in one dimension,our results show that,the dynamics of the bright soliton can beclassed into two phases,depending on the value of the scattering length.Meanwhile,there exists a critical value of theabsolute value of the atomic scattering length,below which,the dynamics of the bright soliton is very regular.Thosephenomena can be useful for developing concrete applications of the nonlinear matter waves.We also obtain the orbitalequation of the bright soliton and get some interesting data which may be useful for the experimental observation of thebright soliton and the application of the atom laser with manipulated intensity.