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Theoretical and Mathematical Physics 152(2) (2007) 1122-1131
Nonlinear Dynamics in Square Double-well Potentials
R. Khomeriki, J. Leon1, S. Ruffo, S. Wimberger

Coherent nonlinear dynamics in a double square well potential reveal the first example of coexistence of Josephson oscillations with a self-trapping regime. This macroscopic bistability is explained by proving analytically the simultaneous existence of symmetric, antisymmetric and asymmetric stationary solutions of the associated Gross-Pitaevskii equation. The effect is illustrated and confirmed by numerical simulations. This property allows to suggest experiments with Bose-Einstein condensates in engineered optical lattices or else with weakly coupled optical waveguide arrays.
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
Science non linéaire/Formation de Structures et Solitons
waveguide array – Bose-Einstein condensate