Analytic Study of a Bose–Einstein Condensate in Waveguide with an Obstacle Potential
Jianwen Song, Hai Wen-Hua, Zhong Hong-Hua +1 more
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.
Communications in Theoretical Physics•Jul 1, 2008•6 citations