Soliton dynamics at an interface between a uniform medium and a nonlinear optical lattice
F. Kh. AbdullaevPhysical-Technical Institute of the Academy of Sciences, G. Mavlyanov Street 2-b, 100084 Tashkent, Uzbekistan. [email protected]R. M. GalimzyanovPhysical-Technical Institute of the Academy of Sciences, G. Mavlyanov Street 2-b, 100084 Tashkent, UzbekistanMarijana BrtkaInstituto de Física, Universidade de São Paulo, CP 66318, São Paulo 05315-970, SP, BrazilLauro TomioInstituto de Física Teórica, São Paulo State University (UNESP), Rua Pamplona 145, São Paulo 01405-900, SP, Brazil
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We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice. Different regimes for transmission of a broad and a narrow solitons are investigated. Reflections and transmissions of solitons are predicted as a function of the lattice phase. The existence of a threshold in the amplitude of the nonlinear optical lattice, separating the transmission and reflection regimes, is verified. The localized nonlinear surface state, corresponding to the soliton trapped by the interface, is found. Variational approach predictions are confirmed by numerical simulations for the original Gross-Pitaevskii equation with nonlinear periodic potentials.
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