2010/06/18 by Lei Wu, Wu, Lei, Lu Li +9
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Strong Light-Matter Interactions #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.1006.3695
We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in 2D models of Bose-Einstein condensates with a spatially modulated nonlinearity of either sign and a harmonic trapping potential. The number of vortex-soliton (VS) modes is determined by the discrete energy spectrum of a related linear Schrödinger equation. The VS families in the system with the attractive and repulsive nonlinearity are mutually complementary. % Stable VSs with vorticity S≥ 2 and those corresponding to higher-order radial states are reported for the first time, in the case of the attraction and repulsion, respectively.