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.
Many-body Landau-Zener tunneling in the Bose-Hubbard model / A. Tomadin; R. Mannella; S. WImberger. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 77:1(2008), p. 013606. [10.1103/PhysRevA.77.013606]
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