Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory
Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory
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DOI：
10.1088/1367-2630/aab29e
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发表时间：
2017-09
影响因子：
3.3
通讯作者：
R. Dingwall;M. Edmonds;M. Edmonds;J. Helm;J. Helm;B. Malomed;P. Öhberg
中科院分区：
文献类型：
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作者：
R. Dingwall;M. Edmonds;M. Edmonds;J. Helm;J. Helm;B. Malomed;P. Öhberg
我们研究明亮物质波孤子之间的相互作用，由于光诱导的密度依赖规范势而获得手性输运动力学。通过数值模拟，我们发现碰撞动力学具有多种不可积现象，从包括粒子转移和辐射损失的非弹性碰撞到短命束缚态的形成和孤子裂变。通过变分近似导出了孤子之间相互作用的有效准粒子模型，该模型表明碰撞的非弹性性质是由规范场与孤子速度的耦合引起的。此外，我们推导了一组相互作用势，表明规范场的影响表现为短程势，可以引起吸引和排斥相互作用。
We study interactions between bright matter-wave solitons which acquire chiral transport dynamics due to an optically-induced density-dependent gauge potential. Through numerical simulations, we find that the collision dynamics feature several non-integrable phenomena, from inelastic collisions including population transfer and radiation losses to the formation of short-lived bound states and soliton fission. An effective quasi-particle model for the interaction between the solitons is derived by means of a variational approximation, which demonstrates that the inelastic nature of the collision arises from a coupling of the gauge field to velocities of the solitons. In addition, we derive a set of interaction potentials which show that the influence of the gauge field appears as a short-range potential, that can give rise to both attractive and repulsive interactions.