Abstract
The dynamics and stability of a Bose-Einstein Condensate, described by a two-dimensional nonlinear Schrödinger equation in a one-dimensional conservative plus dissipative nonlinear optical lattice, 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. Confirmed by full numerical simulations, a stable soliton can exist in the defocusing media (repulsive case) with harmonic trap or linear periodic potential in one dimension (y-direction), with nonlinear optical lattice in the x-direction.
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Acknowledgements
We thank M. Salerno for helpful discussions. For the partial support, F.Kh.A. is grateful to the Marie Curie IIF grant; and A.G., H.L.F. da Luz and L.T. thank FAPESP and CNPq (Brazil).
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Tomio, L., Abdullaev, F.K., da Luz, H.L.F., Gammal, A. (2011). Stability of BEC Systems in Nonlinear Optical Lattices. In: Machado, J., Luo, A., Barbosa, R., Silva, M., Figueiredo, L. (eds) Nonlinear Science and Complexity. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9884-9_21
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DOI: https://doi.org/10.1007/978-90-481-9884-9_21
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