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 / R., Khomeriki; J., Leon; S., Ruffo; Wimberger, Sandro Marcel. - 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

WIMBERGER, Sandro Marcel
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
Nonlinear dynamics in double square-well potentials / R., Khomeriki; J., Leon; S., Ruffo; Wimberger, Sandro Marcel. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - 152:2(2007), pp. 1122-1131. [10.1007/s11232-007-0096-y]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2696723
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