均匀电场下磁性粒子的俘获和混沌散射
Capture and chaotic scattering of a charged particle by magnetic monopole under uniform electric field
摘要：
受能量交叉点实现Berry曲率的磁共振效应的启发，我们从理论上研究了半经典动力学中均匀电场下的磁共振效应，它涉及到许多物理情况，如通过抛物点的弛豫.我们发现，在后向散射之间的竞争由负磁场和加速由电场导致的束缚态，即，在粒子附近捕获粒子。此外，由磁致伸缩引起的非线性导致瞬态动力学中的混沌行为，即，短暂的混沌我们计算了引起瞬态混沌的奇异鞍点的特征量，并验证了当我们将系统参数调整到系统可解的参数区域时会发生突变分岔。
英文摘要：
Motivated by the realization of magnetic monopole of Berry curvature by the energy crossing point, we theoretically study the effect of magnetic monopole under a uniform electric field in the semiclassical dynamics, which is relevant to many physical situations such as relaxation through the diabolic point. We found that the competition between the backward scattering by the monopole magnetic field and the acceleration by the electric field leads to the bound state, i.e., capture of a particle near the monopole. Furthermore, the nonlinearity induced by the magnetic monopole leads to the chaotic behavior in the transient dynamics, i.e., the transient chaos. We computed characteristic quantities of the strange saddle which gives rise to the transient chaos, and verified that the abrupt bifurcation occurs as we tune the system parameter toward the parameter region in which the system is solvable.
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