Mott-insulator state of cold atoms in tilted optical lattices: doublon   dynamics and multi-level Landau-Zener tunneling
  We discuss the dynamical response of strongly interacting Bose atoms in an adiabatically tilted optical lattice. The analysis is performed in terms of the multi-level Landau-Zenner tunneling. Different regimes of tunneling are identified and analytical expressions for the doublon number, which is the quantity measured in laboratory experiments, are derived. 
Andrey R. Kolovsky and Dmitrii N. Maksimov
cond-mat.quant-gas quant-ph