Short range inter-vortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates

摘要

We study the interaction and dynamics of two half-quantized vortices intwo-component Bose- Einstein condensates. Using the Pade approximation for thevortex core profile, we calculate the intervortex potential, whose asymptoticform for a large distance has been derived by Eto et al. [Phys. Rev. A, 83,063603 (2011)]. Through numerical simulations of the two-dimensionalGross-Pitaevskii equations, we reveal different kinds of dynamical trajectoriesof the vortices depending on the combinations of signs of circulations and theintercomponent density coupling. Under the adiabatic limit, we derive theequations of motion for the vortex coordinates, in which the motion is causedby the balance between Magnus force and the intervortex forces. The initialvelocity of the vortex motion can be explained quantitatively by this pointvortex approximation, but under- standing the long-time behavior of thedynamics needs more consideration beyond our model.