Nonlinear Dynamics in Double Square Well Potential
Pattern Formation and Solitons
2009-11-13 v1 Other Condensed Matter
Mathematical Physics
math.MP
Atomic Physics
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.
Cite
@article{arxiv.0711.2436,
title = {Nonlinear Dynamics in Double Square Well Potential},
author = {Ramaz Khomeriki and Jerome Leon and Stefano Ruffo and Sandro Wimberger},
journal= {arXiv preprint arXiv:0711.2436},
year = {2009}
}