Landau-Zener Tunneling of Bose-Einstein Condensates in an Optical Lattice
arXiv:cond-mat/0404608 · doi:10.1103/PhysRevA.72.023611
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.
4 pages, 3 figures
References in corpus (5)
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Cited by in corpus (14)
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- Nature of intrinsic relation between Bloch-band tunneling and modulational instability
- Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian -symmetric flat band lattice
- Semiclassical Spectrum of Small Bose-Hubbard Chains: A Normal Form Approach
- Nonlinear tunneling in two-dimensional lattices
- Interminiband Rabi oscillations in biased semiconductor superlattices
- Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling rates
- Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
- Hidden facts in Landau-Zener transitions revealed by the Riccati Equation