Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice
arXiv:1012.5469 · doi:10.1016/j.aop.2006.11.004
Abstract
We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. An equation of nonlinear Schrödinger type is derived and exact magnetic soliton solutions are obtained analytically by means of Hirota method. Our results show that the critical external field is needed for creating the magnetic soliton in spinor Bose-Einstein condensates. The soliton size, velocity and shape frequency can be controlled in practical experiment by adjusting the magnetic field. Moreover, the elastic collision of two solitons is investigated in detail.
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Cited by in corpus (8)
- Soliton Solution for the Spin Current in Ferromagnetic Nanowire
- Hirota method for the nonlinear Schrődinger equation with an arbitrary linear time-dependent potential
- Domain-wall solutions of spinor Bose-Einstein condensates in an optical lattice
- Vortex-ring quantum droplets in a radially-periodic potential
- Interaction of a nonlinear spin wave and magnetic soliton in a uniaxial anisotropic ferromagnet
- Riemann-Hilbert problem for the modified Landau-Lifshitz equation with nonzero boundary conditions
- Long-time asymptotics in the modified Landau-Lifshitz equation with nonzero boundary conditions
- Quantum droplets in two-dimensional optical lattices