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Enhanced quantum reflection of matter-wave solitons

C LeeMax Planck Institute for the Physics of Complex Systems Nöthnitzer Straße 38, 01187 Dresden, GermanyJ BrandMax Planck Institute for the Physics of Complex Systems Nöthnitzer Straße 38, 01187 Dresden, Germany
2005en
ABI

Abstract

Matter-wave bright solitons are predicted to reflect from a purely attractive potential well although they are macroscopic objects with classical particle-like properties. The non-classical reflection occurs at small velocities and a pronounced switching to almost perfect transmission above a critical velocity is found, caused by nonlinear mean-field interactions. Full numerical results from the nonlinear Schr\"{o}dinger equation are complimented by a two-mode variational calculation to explain the predicted effect, which can be used for velocity filtering of solitons. The experimental realization with laser-induced potentials or two-component Bose-Einstein condensates is suggested.

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