囚禁弱相互作用玻色气体的势场优化准则

摘要

Based on Bose-Einstein condensation in minimized momentum state, the optimization criterion of potential is studied for trapped weakly interacting Bose gas according to Thomas-Fermi approximation. A criterion for the validity of potential and the limited atom number loaded in a power law attractive potential well for ultra-cold weakly interacting Bose atom gas is derived. The criterion gives the required potential field strength when the loaded atom number is fixed, or the limited atom number when the potential field strength is given, and then, the best ranges of potential field strength are obtained,for attractive interaction and repulsive interaction, respectively.%根据Thomas-Fermi近似,在基于最小动量态上玻色-爱因斯坦凝聚的前提下,研究了囚禁弱相互作用玻色气体势场的最优化问题.导出了指数吸引势阱中有效势场和粒子数极限判据,粒子数给定时,可由此判据求出所需势场强度;势场强度给定时,可由此判据求出粒子数极限.根据吸引相互作用系统的稳定性以及求出的排斥相互作用的最大粒子数极限,结合有效势场判据,分别给出了囚禁吸引和排斥相互作用玻色气体时,势场强度的最佳取值范围.