3D soliton-like bullets in nonlinear optics and Bose-Einstein condensates

T. L. Belyaeva; Akira Hasegawa; L. M. Kovachev; V. N. Serkin

doi:10.1117/12.881901

17 January 2011 3D soliton-like bullets in nonlinear optics and Bose-Einstein condensates

T. L. Belyaeva, Akira Hasegawa, L. M. Kovachev, V. N. Serkin

Proceedings Volume 7747, 16th International School on Quantum Electronics: Laser Physics and Applications; 774714 (2011) https://doi.org/10.1117/12.881901
Event: XVI International School on Quantum Electronics: Laser Physics and Applications, 2010, Nessebar, Bulgaria

Abstract

Mathematical similarities and parallels between two different physical objects, optical solitons and matter-wave solitons, both described by similar mathematical models: the nonlinear Schrodinger equation (NLSE) and the Gross-Pitaevskii equation (GPE) model, open the possibility to study both systems in parallel and because of the obvious complexity of experiments with matter-wave solitons, offer outstanding possibilities in studies of BEC system by performing experiments in the nonlinear optical system and vise versa. In this report we briefly overview recent theoretical studies of the existence and stability of 3D solitons. With contributions from major groups who have pioneered research in this field, the report describes the historical development of the subject, provides a background to the associated nonlinear optical processes, the generation mechanisms of soliton bullets. The main features of nonautonomous matter-wave solitons near the Feshbach resonance with continuously tuned scattering length are investigated. We focus on the most physically important situations where the applied magnetic field is varying in time linearly and periodically. In nonlinear optical applications, this kind of periodic graded-index nonlinear structure with alternating waveguiding and antiwaveguiding segments can be used to simulate different and complicated processes in the total scenario of matterwave soliton bullets generation.

Citation Download Citation

T. L. Belyaeva, Akira Hasegawa, L. M. Kovachev, and V. N. Serkin "3D soliton-like bullets in nonlinear optics and Bose-Einstein condensates", Proc. SPIE 7747, 16th International School on Quantum Electronics: Laser Physics and Applications, 774714 (17 January 2011); https://doi.org/10.1117/12.881901

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KEYWORDS

Solitons

Nonlinear optics

Chemical species

Clouds

Complex systems

Scattering

Optical solitons

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