Exact dynamics of two ultra-cold bosons confined in a one-dimensional   double-well potential
  The dynamics of two ultra-cold bosons confined in a one-dimensional double-well potential is studied. We compare the exact dynamics governed by a full two-body Hamiltonian with the dynamics obtained in a two-mode model approximation. We show that for sufficiently large interactions the two-mode model breaks down and higher single-particle states have to be taken into account to describe the dynamical properties of the system correctly. 
Jacek Dobrzyniecki, Tomasz Sowi\'nski
cond-mat.quant-gas