Atomic three-body loss as a dynamical three-body interaction
  We discuss how large three-body loss of atoms in an optical lattice can give rise to effective hard-core three-body interactions. For bosons, in addition to the usual atomic superfluid, a dimer superfluid can then be observed for attractive two-body interactions. The non-equilibrium dynamics of preparation and stability of these phases are studied in 1D by combining time-dependent Density Matrix Renormalisation Group techniques with a quantum trajectories method. 
A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, P. Zoller