Nonlinear Dynamics in Double Square Well Potential

Details Nonlinear Dynamics in Double Square Well Potential Nonlinear Dynamics in Double Square Well Potential

2007-11-15

arxiv.org/abs/0711.2436v1

Theor. Math. Phys., v. 152, p.1122 (2007)

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1007/s11232-007-0096-y

Considering the coherent nonlinear dynamics in double square well potential we find the 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 make suggestions on possible experiments using Bose-Einstein condensates in engineered optical lattices or weakly coupled optical waveguide arrays.

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