Symmetry breaking in dipolar matter-wave solitons in dual-core couplers

Symmetry breaking in dipolar matter-wave solitons in dual-core couplers
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双核耦合器中偶极物质波孤子的对称性破缺

DOI:
10.1103/physreva.87.013604
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发表时间:
2012-12
期刊:
影响因子:
2.9
通讯作者:
Malomed, Boris A.
Malomed, Boris A.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Li, Yongyao;Liu, Jingfeng;Pang, Wei;Malomed, Boris A.

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研究了偶极玻色-爱因斯坦凝聚体(BEC)在具有偶极-偶极相互作用(DDI)和核间跳跃的双核系统中形成的孤子的自发破缺(SSB)效应.介绍了这种物质波耦合器的两种实现方式,弱耦合和强耦合。前者是基于两个平行的管状陷阱,而后者是由一个单一的管道被外部场切成平行的层。偶极子沿着管的轴线定向。在这些系统中,双核孤子的特点SSB的超临界型和亚临界型,分别。对称和非对称孤子的稳定区域被确定,此外,对于非分叉反对称的,以及对称的平坦状态,这也可能是稳定的强耦合系统,由于吸引力和排斥力之间的竞争内和核间DDI。也考虑了接触相互作用的影响。运动的非对称孤子之间的碰撞在弱对称系统的功能弹性反弹,合并成一个单一的呼吸,并通过伴随着激发的孤子的固有振动,小,中,大碰撞速度,分别。一个PT对称版本的弱耦合系统也被简要考虑,这可能是相关的物质波激光器。确定了PT对称孤子和反对称孤子的稳定边界。
We study effects of the spontaneous symmetry-breaking (SSB) in solitons built of the dipolar Bose-Einstein condensate (BEC), trapped in a dual-core system with the dipole-dipole interactions (DDIs) and hopping between the cores. Two realizations of such a matter-wave coupler are introduced, weakly- and strongly-coupled. The former one in based on two parallel pipe-shaped traps, while the latter one is represented by a single pipe sliced by an external field into parallel layers. The dipoles are oriented along axes of the pipes. In these systems, the dual-core solitons feature the SSB of the supercritical type and subcritical types, respectively. Stability regions are identified for symmetric and asymmetric solitons, and, in addition, for non-bifurcating antisymmetric ones, as well as for symmetric flat states, which may also be stable in the strongly-coupled system, due to competition between the attractive and repulsive intra- and inter-core DDIs. Effects of the contact interactions are considered too. Collisions between moving asymmetric solitons in the weakly-symmetric system feature elastic rebound, merger into a single breather, and passage accompanied by excitation of intrinsic vibrations of the solitons, for small, intermediate, and large collision velocities, respectively. A PT-symmetric version of the weakly-coupled system is briefly considered too, which may be relevant for matter-wave lasers. Stability boundaries for PT-symmetric and antisymmetric solitons are identified.
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