Computing Ground State Solution of Bose-Einstein Condensates Trapped in One-Dimensional Harmonic Potential

作     者：YUAN Qing-Xin DING Guo-Hui 

作者机构：Department of Mathematics and Physics Zhengzhou Institute of Aeronautical Industry Management Zhengzhou 450015 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2006年第46卷第5X期

页      面：873-878页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：The project supported by the Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management under Grant No. Q05K067 

主　　题：玻色子-爱因斯坦冷凝物 非线性Schrodinger方程 Crank-Nicolson法 势阱 

摘      要：For Bose–Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the time-dependent nonlinear Schrödinger equation based on the Crank–Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial initial wave function in real and imaginary time spaces, respectively. In real time space, the results are in agreement with [Phys. Rev. A 51 (1995) 4704], but the trial wave function is restricted in a very small range. On the contrary, in imaginary time space, the trial wave function can be chosen widely, moreover, the results are stable.