Dissipative dynamics of matter-wave solitons in a nonlinear optical lattice
نویسندگان
چکیده
Dynamics and stability of solitons in two-dimensional 2D Bose-Einstein condensates BEC , with onedimensional 1D conservative plus dissipative nonlinear optical lattices, are investigated. In the case of focusing media with attractive atomic systems , the collapse of the wave packet is arrested by the dissipative periodic nonlinearity. The adiabatic variation of the background scattering length leads to metastable matterwave solitons. When the atom feeding mechanism is used, a dissipative soliton can exist in focusing 2D media with 1D periodic nonlinearity. In the defocusing media repulsive BEC case with harmonic trap in one direction and nonlinear optical lattice in the other direction, the stable soliton can exist. Variational approach simulations are confirmed by full numerical results for the 2D Gross-Pitaevskii equation.
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