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Oscillatory stability of quantum droplets in -symmetric optical lattice
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2021-04-20 , DOI: 10.1088/1572-9494/abf093
Jiehong Lao 1 , Zheng Zhou 2 , Xili Zhang 1 , Fuqiu Ye 3 , Honghua Zhong 4
Affiliation  

We study stability and collisions of quantum droplets (QDs) forming in a binary bosonic condensate trapped in parity-time (${ \mathcal P }{ \mathcal T }$)-symmetric optical lattices. It is found that the stability of QDs in the ${ \mathcal P }{ \mathcal T }$-symmetric system depends strongly on the values of the imaginary part W 0 of the ${ \mathcal P }{ \mathcal T }$-symmetric optical lattices, self-repulsion strength g, and the condensate norm N. As expected, the ${ \mathcal P }{ \mathcal T }$-symmetric QDs are entirely unstable in the broken ${ \mathcal P }{ \mathcal T }$-symmetric phase. However, the ${ \mathcal P }{ \mathcal T }$-symmetric QDs exhibit oscillatory stability with the increase of N and g in the unbroken ${ \mathcal P }{ \mathcal T }$-symmetric phase. Finally, collisions between ${ \mathcal P }{ \mathcal T }$-symmetric QDs are considered. The collisions of droplets with unequal norms are completely different from that in free space. Besides, a stable ${ \mathcal P }{ \mathcal T }$-symmetric QDs collides with an unstable ones tend to merge into breathers after the collision.



中文翻译:

对称光晶格中量子液滴的振荡稳定性

我们研究了在奇偶时间 ( ${ \mathcal P }{ \mathcal T }$) 对称光学晶格中捕获的二元玻色子凝聚物中形成的量子液滴 (QD) 的稳定性和碰撞。据发现,量子点的在稳定性${ \mathcal P }{ \mathcal T }$-对称系统上的虚部的值强烈地取决于w ^ 0的的${ \mathcal P }{ \mathcal T }$-对称光晶格,自斥力强度,并且冷凝物规范Ñ。正如预期的那样,${ \mathcal P }{ \mathcal T }$对称量子点在破坏${ \mathcal P }{ \mathcal T }$对称相中是完全不稳定的。然而,${ \mathcal P }{ \mathcal T }$随着Ng在不间断的${ \mathcal P }{ \mathcal T }$对称相中的增加,对称 QD 表现出振荡稳定性。最后,之间的碰撞${ \mathcal P }{ \mathcal T }$考虑-对称量子点。不等范数的液滴碰撞与自由空间的碰撞完全不同。此外,稳定的${ \mathcal P }{ \mathcal T }$对称量子点与不稳定的量子点碰撞后往往会合并到呼吸器中。

更新日期:2021-04-20
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