Abstract
A theoretical approach for a nonperturbative dynamical description of two interacting atoms in an optical lattice potential is introduced. The approach builds upon the stationary eigenstates found by a procedure described by Grishkevich et al. [Phys. Rev. A 84, 062710 (2011)]. It allows us presently to treat any time-dependent external perturbation of the lattice potential up to quadratic order. Example calculations of the experimentally relevant cases of an acceleration of the lattice and the turning-on of an additional harmonic confinement are presented.
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