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Europhysics Letters (EPL)

Linear superpositions of nonlinear matter waves in optical lattices

Yu. V. Bludov, V. V. Konotop, Mario Salerno

Published Feb 1, 2011• 7 citations
Publisher

Abstract

It is shown that by a proper design of the nonlinearity it is possible to obtain linear superposition of matter waves in optical lattices. In particular, the possibility to create non-stationary states of Bose-Einstein condensates which are linear superposition of stationary nonlinear matter waves is demonstrated. This is achieved by means of spatial variation of the interatomic interaction which suppresses the nonlinear overlapping terms, which otherwise would destroy the superposition, and at the same time retaining all the nonlinearity necessary for each component state to exist. The superposition state is shown to be long lived and can be split into constituent parts by accelerating the lattice.

DOI
10.1209/0295-5075/93/30003

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