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arXiv 1609.06336nlin.PScond-mat.other
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用排斥凝聚进行Hong-Ou-Mandel型数值实验:暗孤子和暗亮孤子的情况

Performing Hong-Ou-Mandel-type Numerical Experiments with Repulsive Condensates: The case of Dark and Dark-bright Solitons

Zhi-Yuan Sun, Panayotis G. Kevrekidis, Peter Krüger

摘要:

Hong-Ou-Mandel实验通过双光子干涉使不可分辨的光子同时到达50:50分束器,在同一端口出射。出于这种现象,我们考虑相同风味的经典,{ \it波}对象的设置中的排斥凝聚的数值实验。我们研究暗孤子相互作用的排斥障碍,在这种情况下,我们发现没有显着的不对称性碰撞后出现的波,大概是由于它们的拓扑性质。我们还考虑了两个组件系统的情况下,暗孤子陷阱的第二个组件(暗亮孤立波)的明亮结构的例子。对于这些,对于非拓扑亮分量,碰撞时的明显不对称{ \it}是可能的。我们还显示了一个类似的现象,在两个维度的环暗亮结构的例子。

英文摘要:

The Hong-Ou-Mandel experiment leads indistinguishable photons simultaneously reaching a 50:50 beam splitter to emerge on the same port through two-photon interference. Motivated by this phenomenon, we consider numerical experiments of the same flavor for classical, {\it wave} objects in the setting of repulsive condensates. We examine dark solitons interacting with a repulsive barrier, a case in which we find no significant asymmetries in the emerging waves after the collision, presumably due to their topological nature. We also consider case examples of two-component systems, where the dark solitons trap a bright structure in the second-component (dark-bright solitary waves). For these, pronounced asymmetries upon collision {\it are} possible for the non-topological bright component. We also show an example of a similar phenomenology for ring dark-bright structures in two dimensions.

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