1206.6740 (Mateusz Lacki et al.)

Higher optical lattice bands in real-time dynamics: effective
Hamiltonian approach    [PDF]

Mateusz Lacki, Dominique Delande, Jakub Zakrzewski

The extended effective Bose-Hubbard Hamiltonian which takes into account higher lattice bands is discussed for systems with several particles per side. It is shown that the renormalization of Hamiltonian parameters depends on the dimension of the problem studied. Therefore, mean field phase diagrams do not scale with the coordination number of the lattice. The effect of Hamiltonian parameters renormalization on the dynamics in reduced one-dimensional optical lattice potential is analyzed both for the quasi adiabatic quench through superfluid-Mott insulator transition and for absorption in periodically modulated lattice.

View original: http://arxiv.org/abs/1206.6740