Capture and chaotic scattering of a charged particle by a magnetic monopole under a uniform electric field

Motivated by the realization of a magnetic monopole of Berry curvature by the energy crossing point, we study theoretically the effect of a magnetic monopole under a uniform electric field in semiclassical wave-packet dynamics, which is relevant to many physical situations such as relaxation through the diabolic point. We found that the competition between backward scattering by a monopole magnetic field and acceleration by an electric field leads to a bound state, i.e., capture of a particle near the monopole. Furthermore, the nonlinearity induced by the magnetic monopole leads to chaotic behavior in transient dynamics, i.e., transient chaos. We computed the characteristic quantities of the strange saddle, which gives rise to transient chaos, and we verified that the abrupt bifurcation occurs as we tune the system parameter toward the parameter region in which the system is solvable.