自旋相关光晶格中玻色-爱因斯坦凝聚体的基态

Ground State of Bose-Einstein Condensates in a Spin-dependent Optical Lattice

基于Gross-Pitaevskii方程数值研究自旋相关光晶格势和无限深势阱的联合势阱中玻色-爱因斯坦凝聚体的基态密度分布。重点讨论产生自旋相关光晶格势的两束激光传播方向和波数之比(?)对基态密度分布的影响。在两束激光的波数较小,两束光相向传播,且?<2时,两分量的基态密度条纹都是连续的,?≥2时,两分量的基态密度均出现不连续条纹。两束光垂直传播时,随着?的增大,组分1的基态密度从连续条纹逐渐转变为不连续条纹,组分2则正好相反。基态密度条纹数随着波数的增加而增多,但涡旋个数保持不变。

Based on Gross-Pitaevskii equation,we studied numerically ground-state density distribution of Bose-Einstein condensates trapped in a combined potential of a spin-dependent optical lattice potential and an infinite deep potential.We discuss specifically the influence of propagation directions and the ratio of wave numbers(?)of the two lasers,which produce the spin-dependent optical lattice on the ground-state of the Bose-Einstein condensate.As the wave number is small,two beams of light spread forward to each other.The two components exhibit continuous stripes with?<2.And with?≥2 both components show discontinuous stripes.As the two beams of light propagate vertically,with the increase of?,component 1 changes gradually from continuous to discontinuous stripes,and component 2 behaves oppositely.The number of ground state density fringes increases with the increase of wave number,while the number of vortices remains unchanged.