TY - JOUR
T1 - Dipolar bright solitons and solitary vortices in a radial lattice
AU - Huang, Chunqing
AU - Lyu, Lin
AU - Huang, Hao
AU - Chen, Zhaopin
AU - Fu, Shenhe
AU - Tan, Haishu
AU - Malomed, Boris A.
AU - Li, Yongyao
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/11/13
Y1 - 2017/11/13
N2 - Stabilizing vortex solitons with high values of the topological charge S is a challenging issue in optics, studies of Bose-Einstein condensates (BECs), and other fields. To develop an approach to the solution of this problem, we consider a two-dimensional dipolar BEC under the action of an axisymmetric radially periodic lattice potential, V(r)∼cos(2r+δ), with dipole moments polarized perpendicular to the system's plane, which gives rise to isotropic repulsive dipole-dipole interactions. Two radial lattices are considered, with δ=0 and π, i.e., a potential maximum or minimum at r=0, respectively. Families of vortex gap soliton (GSs) with S=1 and S≥2, the latter ones often being unstable in other settings, are completely stable in the present system (at least up to S=11), being trapped in different annular troughs of the radial potential. The vortex solitons with different S may stably coexist in sufficiently far separated troughs. Fundamental GSs, with S=0, are found too. In the case of δ=0, the fundamental solitons are ring-shaped modes, with a local minimum at r=0. At δ=π, they place a density peak at the center.
AB - Stabilizing vortex solitons with high values of the topological charge S is a challenging issue in optics, studies of Bose-Einstein condensates (BECs), and other fields. To develop an approach to the solution of this problem, we consider a two-dimensional dipolar BEC under the action of an axisymmetric radially periodic lattice potential, V(r)∼cos(2r+δ), with dipole moments polarized perpendicular to the system's plane, which gives rise to isotropic repulsive dipole-dipole interactions. Two radial lattices are considered, with δ=0 and π, i.e., a potential maximum or minimum at r=0, respectively. Families of vortex gap soliton (GSs) with S=1 and S≥2, the latter ones often being unstable in other settings, are completely stable in the present system (at least up to S=11), being trapped in different annular troughs of the radial potential. The vortex solitons with different S may stably coexist in sufficiently far separated troughs. Fundamental GSs, with S=0, are found too. In the case of δ=0, the fundamental solitons are ring-shaped modes, with a local minimum at r=0. At δ=π, they place a density peak at the center.
UR - http://www.scopus.com/inward/record.url?scp=85036645413&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.96.053617
DO - 10.1103/PhysRevA.96.053617
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85036645413
SN - 2469-9926
VL - 96
JO - Physical Review A
JF - Physical Review A
IS - 5
M1 - 053617
ER -