一维,二维和三维对称双色型光晶格中玻色-爱因斯坦凝聚的局域化

The localization of a Bose-Einstein condensate in one-dimensional, two-dimensional and three-dimensional bichromatic optical lattices

摘要:

利用含时变分法研究了一维,二维和三维对称情形下双色型光晶格中玻色-爱因斯坦凝聚中局域化态的稳定性.首先采用高斯型试探波函数得出了三种维度下稳定性分析所需要的有效势能表达式.其次根据有效势能是否具有局域最小值来判断体系是否具有稳定状态,结果表明,双色型光晶格强度,两体,三体和高阶相互作用在稳定性中所起的作用是不同的,两体和高阶相互作用对体系的稳定性有决定性作用,而三体和晶格强度只对稳定性起调节作用,在有些情况下这种调节作用时必须的.最后给出了参数相空间中的稳定区域.

Abstract:

We investigate the stability of the localization of a Bose-Einstein condensate in one-dimensional, two-dimensional and three-dimensional bichromatic optical lattices using a time-dependent variational approach. We derive the effective potential for the stability analysis of the system using the Gauss type trial wave function and give the stable criteria through this effective potential. It is demonstrated that the bichromatic optical lattice's intensities, two-body, three-body and high-order interactions play different roles in the stability of the system. The two-body and high-order have an important influence to the stability but the others play a regulatory role on the stability.