Nonlinear Dynamics in Double Square Well Potential

Date
Authors
Khomeriki, Ramaz
Leon, Jerome
Ruffo, Stefano
Wimberger, Sandro
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Keywords
Nonlinear Sciences - Pattern Formation and Solitons, Condensed Matter - Other Condensed Matter, Mathematical Physics, Physics - Atomic Physics
Citation
Collections