Nonlinear dynamics in double square-well potentials. (English. Russian original) Zbl 1131.35078
Theor. Math. Phys. 152, No. 2, 1122-1131 (2007); translation from Teor. Mat. Fiz. 152, No. 2, 292-303 (2007).
Summary: 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.
MSC:
| 35Q55 | NLS equations (nonlinear Schrödinger equations) |
| 78A60 | Lasers, masers, optical bistability, nonlinear optics |
| 82D50 | Statistical mechanics of superfluids |
Keywords:
waveguide array; Bose-Einstein condensate; Josephson oscillations; Gross-Pitaevskii equationReferences:
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