Landau-Zener Tunneling of Bose-Einstein Condensates in an Optical Lattice
V. V. Konotop, P. G. Kevrekidis, M. Salerno
Abstract
A theory of the non-symmetric Landau-Zener tunneling of Bose-Einstein condensates in deep optical lattices is presented. It is shown that periodic exchange of matter between the bands is described by a set of linearly coupled nonlinear Schrödinger equations. The key role of the modulational instability in rendering the inter-band transitions irreversible is highlighted.
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