Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice

Details Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice Dark Soliton Interaction of Spinor Bose-Einstein Condensates in an Optical Lattice

2010-12-25

arxiv.org/abs/1012.5469v1

Ann. Phys. (New York) 322, 1961 (2007)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1016/j.aop.2006.11.004

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 Schr\"odinger 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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