Stability and collisions of quantum droplets in PT-symmetric dual-core couplers
Stability and collisions of quantum droplets in PT-symmetric dual-core couplers
复制标题
PT对称双核耦合器中量子液滴的稳定性和碰撞
DOI：
10.1016/j.cnsns.2020.105424
复制
发表时间：
2020-07
影响因子：
3.9
通讯作者：
Zhong Honghua
中科院分区：
文献类型：
--
作者：
Zhou Zheng;Zhu Bo;Wang Haibin;Zhong Honghua
我们研究了宇称时间(PT)对称性和光学晶格(OL)势之间的相互作用对双核系统中捕获的二元玻色凝聚体中量子液滴(QD)形成的动力学的影响。结果表明，在这种非厄米系统中，对称量子点的稳定性主要取决于增益和损耗γ、芯间耦合κ和OL势的竞争。在没有OL势的情况下，PT对称量子点对于对称破缺微扰是不稳定的，随着总凝聚范数N的增加，它们在弱耦合区域恢复了在较大N处的稳定性。正如预期的那样，PT对称的量子点的稳定区域随着γ的增加而缩小，即PT对称性容易破坏量子点的稳定性。κ存在一个临界值，超过这个临界值，PT对称的量子点在未破裂的PT对称相中完全稳定。在存在OL电位的情况下，PT对称的在位量子点对于较小和较大的N值仍然是稳定的，但是，研究表明，对于中等的N值，OL电位可以帮助PT对称的在位量子点稳定。另一方面，值得注意的是，相对较小的PT对称的场外量子点是不稳定的，只有相对较大的场外量子点是稳定的。此外，还考虑了稳定的PT对称量子点之间的碰撞。结果表明，缓慢移动的PT对称量子点倾向于合并成呼吸，而快速移动的量子点分别在较小和较大的N值下表现为准弹性碰撞和碎裂。
We study the effect of the interplay between parity-time (PT) symmetry and optical lattice (OL) potential on dynamics of quantum droplets (QDs) forming in a binary bosonic condensate trapped in a dual-core system. It is found that the stability of symmetric QDs in such non-Hermitian system depends critically on the competition of gain and loss γ, inter-core coupling κ, and OL potential. In the absence of OL potential, the PT-symmetric QDs are unstable against symmetry-breaking perturbations with the increase of the total condensate norm N, and they retrieve the stability at larger N, in the weakly-coupled regime. As expected, the stable region of the PT-symmetric QDs shrinks when γ increases, ie, the PT symmetry is prone to break the stability of QDs. There is a critical value of κ beyond which the PT-symmetric QDs are entirely stable in the unbroken PT-symmetric phase. In the presence of OL potential, the PT-symmetric on-site QDs are still stable for relatively small and large values of N. Nevertheless, it is demonstrated that the OL potential can assist stabilization of PT-symmetric on-site QDs for some moderate values of N. On the other hand, it is worth noting that the relatively small PT-symmetric off-site QDs are unstable, and only the relatively large ones are stable. Furthermore, collisions between stable PT-symmetric QDs are considered too. It is revealed that the slowly moving PT-symmetric QDs tend to merge into breathers, while the fast-moving ones display quasi-elastic collision and suffer fragmentation for small and large values of N, respectively.
登录
查看更多内容
影响因子：
8.6
作者：
Bender, CM;Boettcher, S
通讯作者：
Boettcher, S
影响因子：
8.6
作者：
Musslimani, Z. H.;Makris, K. G.;Christodoulides, D. N.
通讯作者：
Christodoulides, D. N.
影响因子：
8.6
作者：
Kartashov, Yaroslav V.;Malomed, Boris A.;Torner, Lluis
通讯作者：
Torner, Lluis
影响因子：
2.9
作者：
F. Wächtler;Luis Santos
通讯作者：
F. Wächtler;Luis Santos
影响因子：
2.9
作者：
M. Kreibich;J. Main;H. Cartarius;G. Wunner
通讯作者：
M. Kreibich;J. Main;H. Cartarius;G. Wunner