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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 2, pp. 292–303, August, 2007.
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Khomeriki, R., Leon, J., Ruffo, S. et al. Nonlinear dynamics in double square-well potentials. Theor Math Phys 152, 1122–1131 (2007). https://doi.org/10.1007/s11232-007-0096-y
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DOI: https://doi.org/10.1007/s11232-007-0096-y