Collision dynamics of skyrmions in a two-component Bose-Einstein condensate

Abstract

The dynamics of Skyrmions in a two-component Bose-Einstein condensate are numerically investigated in the mean-field theory. When two Skyrmions collide with each other, they are first united and then scattered into various states. For head-on collisions, Skyrmions with unit winding number are scattered. The collision dynamics with an impact parameter are shown to depend on the relative phase. These dynamic processes are characterized by integer winding numbers.

Hydrodynamic generation of skyrmions in a two-component Bose-Einstein condensate

“…Theoretically, several schemes to generate skyrmions in multicomponent BECs have been proposed: Rabi transitions with topological phases [7], spin rotation by a fictitious or real magnetic field [8,[14][15][16], capillary instability [17], spin-orbit coupling [18,19], decay of domain walls [20], and light-matter coupling [21]. The stability and dynamics of skyrmions have also been studied [22][23][24][25][26][27][28][29][30][31][32]. In this paper, we propose an alternative scheme to generate three-dimensional skyrmions in a twocomponent BEC: hydrodynamic generation of skyrmions behind an obstacle moving in the BEC.…”

“…The dynamics of the skyrmion for g = g 12 shown in the video provided in the Supplemental Material [48] indicates that the skyrmion is stable. Since the vortex ring has a momentum along the axis of the ring (z direction), the skyrmion moves at a constant velocity in a uniform system [32]. We therefore use the frame of reference moving with the skyrmion by adding a term i v z ∂ z ψ j to the right-hand side of Eq.…”

Surface Excitations, Shape Deformation, and the Long-Time Behavior in a Stirred Bose–Einstein Condensate

“…The dynamical properties of a BEC for vortex nucleation [14][15][16][17] and evolution [18][19][20][21][22][23] have been investigated extensively. In addition, much work has been done on the vortex structure in multi-component [24,25] and spinor BECs [26][27][28], as well as the collisions and evolution of vortex loops and knots in 3-dimensional BECs [29][30][31][32][33][34][35][36].…”