Nonautonomous solitons in nonlinear optics and Bose-Einstein condensates

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

doi:10.1117/12.822526

19 December 2008 Nonautonomous solitons in nonlinear optics and Bose-Einstein condensates

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

Proceedings Volume 7027, 15th International School on Quantum Electronics: Laser Physics and Applications; 70271D (2008) https://doi.org/10.1117/12.822526
Event: 15th International School on Quantum Electronics: Laser Physics and Applications, 2008, Bourgas, Bulgaria

Abstract

We consider the generalized Gross-Pitaevskii models with varying nonlinearities from the point of view of their exact integrability and obtain the general solutions for these models both for confining and expulsive external potentials. We show that exact soliton solutions exist only under certain conditions and that varying in time nonlinearity and confining harmonic potential cannot be chosen independently; they satisfy the exact integrability conditions. 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. It is proved that near a Feshbach resonance the matter wave solitons can be stabilized even without a trapping potential. In the case of periodically varying interaction strength among atoms, variations of the external harmonic potential are found to be sign-reversal. The main difference from the canonical soliton case is that the matter-wave solitons management concept must be consistent with variations of confining potential.

Citation Download Citation

V. N. Serkin, Akira Hasegawa, and T. L. Belyaeva "Nonautonomous solitons in nonlinear optics and Bose-Einstein condensates", Proc. SPIE 7027, 15th International School on Quantum Electronics: Laser Physics and Applications, 70271D (19 December 2008); https://doi.org/10.1117/12.822526

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available