摘要
We investigate the exact solutions of one-dimensional (1D) time-independent Gross-Pitaevskii equation(GPE),which governs a Bose-Einstein condensate (BEC) in the magnetic waveguide with a square-Sech potential.Boththe bound state and transmission state are found and the corresponding spatial configurations and transport propertiesof BEC are analyzed.It is shown that the well-known absolute transmission of the linear system can occur in theconsidered nonlinear system.
We investigate the exact solutions of one-dimensional （1D） time-independent Gross-Pitaevskii equation （GPE）, which governs a Bose-Einstein condensate （BEC） in the magnetic waveguide with a square-Sech potential. Both the bound state and transmission state are found and the corresponding spatial configurations and transport properties of BEC are analyzed. It is shown that the well-known absolute transmission of the linear system can occur in the considered nonlinear system.
基金
National Natural Science Foundation of China under Grant No.10575034
the Laboratory of Magnetic Resonance and Atomic and Molecular Physics of China under Grant No.T152504
关键词
双曲正割电位
正方形
冷凝物
波导管
square-Sech potential, exact solutions, bound state, transmission state, absolute transmission
