Dynamic Localization of Interacting Particles in an Anharmonic Potential
  We investigate the effect of anharmonicity and interactions on the dynamics of an initially Gaussian wavepacket in a weakly anharmonic potential. We note that depending on the strength and sign of interactions and anharmonicity, the quantum state can be either localized or delocalized in the potential. We formulate a classical model of this phenomenon and compare it to quantum simulations done for a self consistent potential given by the Gross-Pitaevskii Equation. 
Mark Herrera, Thomas M. Antonsen, Edward Ott, Shmuel Fishman
quant-ph cond-mat.other