Many-body Landau-Zener tunneling in the Bose-Hubbard model

Details Many-body Landau-Zener tunneling in the Bose-Hubbard model Many-body Landau-Zener tunneling in the Bose-Hubbard model

2007-11-20

arxiv.org/abs/0711.3230v1

Phys. Rev. A 77, 013606 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 6 figures. High-quality figures can be requested to the authors

Scientific paper

10.1103/PhysRevA.77.013606

We study a model for ultracold, spinless atoms in quasi-one dimensional optical lattices and subjected to a tunable tilting force. Statistical tests are employed to quantitatively characterize the spectrum of the Floquet-Bloch operator of the system along the transition from the regular to the quantum chaotic regime. Moreover, we perturbatively include the coupling of the one-band model to the second energy band. This allows us to study the Landau-Zener interband tunneling within a truly many-body description of ultracold atoms. The distributions of the computed tunneling rates provide an independent and experimentally accessible signature of the regular-chaotic transition.

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