TY - JOUR
T1 - Exact solutions of the Gross-Pitaevskii equation for stable vortex modes in two-dimensional Bose-Einstein condensates
AU - Wu, Lei
AU - Li, Lu
AU - Zhang, Jie Fang
AU - Mihalache, Dumitru
AU - Malomed, Boris A.
AU - Liu, W. M.
PY - 2010/6/28
Y1 - 2010/6/28
N2 - We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in two-dimensional 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, in the case of the attraction and repulsion, respectively.
AB - We construct exact solutions of the Gross-Pitaevskii equation for solitary vortices, and approximate ones for fundamental solitons, in two-dimensional 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, in the case of the attraction and repulsion, respectively.
UR - http://www.scopus.com/inward/record.url?scp=77954203954&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.81.061805
DO - 10.1103/PhysRevA.81.061805
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AN - SCOPUS:77954203954
SN - 1050-2947
VL - 81
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 061805
ER -