三体作用下玻色-爱因斯坦凝聚中的PT-对称孤子

Effect of three-body interactions on solitary wave dynamics of BEC in PT-symmetric potential

研究了三体相互作用对PT对称势中玻色-爱因斯坦凝聚体孤子的存在性和稳定性的影响.采用变分法解析得到了凝聚体的化学势、宽度和相位的表达式.发现三体相互作用可以显著地影响凝聚体的化学势、宽度和密度分布.且存在一个三体相互作用临界强度χc,当三体相互作用强度位于参数区间χc>χ0>0时,将会出现一个稳定的亮孤子.结合Vakhitov-Kolokolov(VK)稳定性分析,进一步证明该孤子是稳定存在的.

The influence of three-body interactions on the existence and stability of solitons of Bose-Einstein condensates in PT-symmetric potential is considered.The expressions of chemical potential,width and phase of the condensate are obtained by variational method.It's found that the chemical potential,width and density distribution of condensates can be significantly affected by the three-body interactions.There is a critical intensityχc of three-body interactions.When the three-body interactions intensity is in the parameter intervalχc>χ0>0,a stable bright soliton will appear.Combined with Vakhitov-Kolokolov(VK)stability analysis,it is further proved that the soliton is stable.