Landau-Zener Tunneling of Bose-Einstein Condensates in an Optical Lattice

Details Landau-Zener Tunneling of Bose-Einstein Condensates in an Optical Lattice Landau-Zener Tunneling of Bose-Einstein Condensates in an Optical Lattice

2004-04-26

arxiv.org/abs/cond-mat/0404608v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures

Scientific paper

10.1103/PhysRevA.72.023611

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 Schr\"{o}dinger equations. The key role of the modulational instability in rendering the inter-band transitions irreversible is highlighted.

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