光晶格中具有三体吸引相互作用的超冷玻色子
Ultracold Bosons with 3-Body Attractive Interactions in an Optical Lattice
摘要：
研究了光晶格（OL）对具有周期势的五次Gross-Pitaevskii方程描述的具有三体吸引和两体排斥的一维超冷玻色子基态性质的影响.如果没有OL和消失的两体相互作用项，汤斯型孤子解只可能在三体相互作用强度的临界值，在该临界值处基态发生无限简并;排斥的两体相互作用使这种局部解不稳定。我们发现，OL打开一个稳定窗口的临界点附近的周期电位的强度时，是一个临界阈值以上。我们还考虑了外部抛物陷阱的影响，研究了孤子的稳定性如何依赖于周期势的最小值和抛物陷阱的最小值之间的匹配。
英文摘要：
We study the effect of an optical lattice (OL) on the ground-state properties of one-dimensional ultracold bosons with three-body attraction and two-body repulsion, which are described by a cubic-quintic Gross-Pitaevskii equation with a periodic potential. Without the OL and with a vanishing two-body interaction term, soliton solutions of the Townes type are possible only at a critical value of the three-body interaction strength, at which an infinite degeneracy of the ground-state occurs; a repulsive two-body interaction makes such localized solutions unstable. We show that the OL opens a stability window around the critical point when the strength of the periodic potential is above a critical threshold. We also consider the effect of an external parabolic trap, studying how the stability of the solitons depends on matching between minima of the periodic potential and the minimum of the parabolic trap.
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