The first example of the coexistence of Josephson oscillations with a self-trapping regime is found in the context of the coherent nonlinear dynamics in a double square-well potential. We prove the simultaneous existence of symmetric, antisymmetric, and asymmetric stationary solutions of the associated Gross-Pitaevskii equation, which explains this macroscopic bistability. We illustrate and confirm the effect with numerical simulations. This property allows suggesting experiments with Bose-Einstein condensates in engineered optical lattices or with weakly coupled optical waveguide arrays.

Nonlinear dynamics in double square well potentials / Khomeriki, R.; Leon, J.; Ruffo, S.; Wimberger, S.. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - 152:2(2007), pp. 1122-1131. [10.1007/s11232-007-0096-y]

Nonlinear dynamics in double square well potentials

Ruffo, S.;
2007-01-01

Abstract

The first example of the coexistence of Josephson oscillations with a self-trapping regime is found in the context of the coherent nonlinear dynamics in a double square-well potential. We prove the simultaneous existence of symmetric, antisymmetric, and asymmetric stationary solutions of the associated Gross-Pitaevskii equation, which explains this macroscopic bistability. We illustrate and confirm the effect with numerical simulations. This property allows suggesting experiments with Bose-Einstein condensates in engineered optical lattices or with weakly coupled optical waveguide arrays.
2007
152
2
1122
1131
https://arxiv.org/abs/0711.2436
Khomeriki, R.; Leon, J.; Ruffo, S.; Wimberger, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12239
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