Nonlinear Dynamics in Double Square Well Potential

Ramaz Khomeriki; Jerome Leon; Stefano Ruffo; Sandro Wimberger

doi:10.1007/s11232-007-0096-y

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arXiv · 0711.2436

Nonlinear Dynamics in Double Square Well Potential

Ramaz Khomeriki·Jerome Leon·Stefano Ruffo·Sandro Wimberger

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Abstract

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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Ramaz Khomeriki, Jerome Leon, Stefano Ruffo, Sandro Wimberger. 2007-11-15. Nonlinear Dynamics in Double Square Well Potential. https://doi.org/10.1007/s11232-007-0096-y

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