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Nonlinear Dynamics in Square Double-well Potentials

Abstract : 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.
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http://hal.in2p3.fr/in2p3-00149189
Contributor : Francoise Duceau <>
Submitted on : Thursday, May 24, 2007 - 4:57:05 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM

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R. Khomeriki, J. Leon, S. Ruffo, S. Wimberger. Nonlinear Dynamics in Square Double-well Potentials. Theoretical and Mathematical Physics, Consultants bureau, 2007, 152(2), pp.1122-1131. ⟨10.1007/s11232-007-0096-y⟩. ⟨in2p3-00149189⟩

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