Equilibrium Properties of Bose-Einstein Condensates

• Main Authors: Tai-Hung Wu, 吳泰宏
• Other Authors: Da-Shin Lee
• Format: Others
• Language: zh-TW
• Published: 2005
• Online Access: http://ndltd.ncl.edu.tw/handle/34960698181967433718

碩士 === 國立東華大學 === 應用物理研究所 === 93 === This thesis aims at the study of the ground state properties of magnetically trapped weakly interacting Bose gases in a state of the so-called Bose-Einstein condensate (BEC). Using a variational ansatz for the trial wave function of a Gaussian form allows us to study its ground state properties as well as the dynamics of the normal modes for perturbations around its ground state. In addition, the equilibrium and stabilities properties of a coupled two-component BEC are studied. The laser field is introduced and it allows to exchange the atoms between two condensates. We study the equilibrium configuration for these condensates magnetically trapped at difference locations as a function of the strength of the laser field. We find that in addition to the stable configurations, there exist the potential unstable configurations when these ground state wave functions reveal strongly spatial overlap by decreasing the relative distance between the centers of the magnetic trap potentials. These unstable configurations deserve to be studied experimentally in order to test the microscopic model for atoms under consideration here.