We review recent work on compacton matter waves in Bose-Einstein condensates (BEC) trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length. In particular, we derive averaged discrete nonlinear Schroedinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are also investigated both by linear analysis and by direct numerical integrations of the DNLSE.

Compactons of nonlinear Schroedinger lattices under strong nonlinearity management

SALERNO, Mario
2015

Abstract

We review recent work on compacton matter waves in Bose-Einstein condensates (BEC) trapped in deep optical lattices in the presence of strong and rapid periodic time modulations of the atomic scattering length. In particular, we derive averaged discrete nonlinear Schroedinger equations (DNLSE) and show that compacton solutions of different types can exist as stable excitations. Stability properties are also investigated both by linear analysis and by direct numerical integrations of the DNLSE.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4688547
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