密度相关规范理论中物质波孤子的不可积动力学
Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory
摘要：
研究了由光致密度相关规范势引起的具有手征输运动力学的亮物质波孤子之间的相互作用。通过数值模拟，我们发现碰撞动力学的几个不可积的现象，从非弹性碰撞，包括布居转移和辐射损失，短寿命的束缚态和孤子裂变。通过变分近似导出了孤子间相互作用的有效准粒子模型，证明了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，我们还导出了一组相互作用势，表明规范场的影响表现为一个短程势，它可以引起吸引和排斥相互作用。
英文摘要：
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 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.
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