Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-05-07
Physics
Condensed Matter
Quantum Gases
Scientific paper
We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections and transmissions of solitons are predicted as 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.
Abdullaev Fatkhulla Kh.
Brtka Marijana
Galimzyanov Ravil M.
Tomio Lauro
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