Soliton solution of nonlinear Schrodinger equation with application to Bose-Einstein condensation using the FD method

K. Abedi; Vahid Ahmadi; S. Gholmohammadi; E. Darabi; M. H. Yavari

doi:10.1117/12.793329

5 March 2008 Soliton solution of nonlinear Schrodinger equation with application to Bose-Einstein condensation using the FD method

K. Abedi, Vahid Ahmadi, S. Gholmohammadi, E. Darabi, M. H. Yavari

Author Affiliations +

Proceedings Volume 7009, Second International Conference on Advanced Optoelectronics and Lasers; 70090G (2008) https://doi.org/10.1117/12.793329
Event: Second International Conference on Advanced Optoelectronics and Lasers, 2005, Yalta, Ukraine

Abstract

In this paper, we discussed the behavior of bright soliton solutions to the NLS equation and their interactions then investigated dark solitons and their formation within an attractive potential and applied them to Bose-Einstein Condensation using fast and efficient finite difference scheme. We report numerical results for intersite collisions between solitons in the discrete nonlinear Schrodinger model. We systematically examine the dependence of the collision outcome on initial velocity and amplitude of the solitons, as well as on the phase shift between them, and location of the collision point relative to the lattice.

Citation Download Citation

K. Abedi, Vahid Ahmadi, S. Gholmohammadi, E. Darabi, and M. H. Yavari "Soliton solution of nonlinear Schrodinger equation with application to Bose-Einstein condensation using the FD method", Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70090G (5 March 2008); https://doi.org/10.1117/12.793329

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