We show that the energy spectrum of the Bose-Hubbard model amended by a
static field exhibits Wigner-Dyson level statistics. In itself a characteristic
signature of quantum chaos, this induces the irreversible decay of Bloch
oscillations of cold, interacting atoms loaded into an optical lattice, and
provides a Hamiltonian model for interaction induced decoherence.Comment: revtex4, figure 3 is substituted, small changes in the tex