Half-Skyrmions and spike-vortex solutions of two-component nonlinear Schrödinger systems
Resource
Journal of Mathematical Physics 48 (5): 053518
Journal
Journal of Mathematical Physics
Journal Volume
48
Journal Issue
5
Pages
-
Date Issued
2007
Date
2007
Author(s)
Wei, Juncheng
Abstract
Recently, Skyrmions with integer topological charges have been observed numerically but have not yet been shown rigorously on two-component systems of nonlinear Schrödinger equations (NLSEs) describing a binary mixture of Bose-Einstein condensates [see Battye, Phys. Rev. Lett. 88, 080401 (2002) and Savage and Ruostekoski, Phys. Rev. Lett. 91, 010403 (2003)] Besides, half-Skyrmions characterized by half-integer topological charges can also be found in the nonlinear model which is a model of the Bose-Einstein condensate of the Schwinger bosons [see Morinari, Phys. Rev. B 72, 104502 (2005)]. Here we prove rigorously the existence of half-Skyrmions which may come from a new type of soliton solutions called spike-vortex solutions of two-component systems of NLSE on the entire plane R2. These spike-vortex solutions having spikes in one component and a vortex in the other component may form half-Skyrmions. By Liapunov-Schmidt reduction process, we may find spike-vortex solutions of two-component systems of NLSE. © 2007 American Institute of Physics.
Type
journal article
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