Random phases in Bose-Einstein condensates with higher order   nonlinearities
  We present a statistical description of Bose-Einstein condensates with general higher order nonlinearities. In particular, we investigate the case of cubic-quintic nonlinearities, of particular interest for dilute condensates. The implication of decoherence for the stability properties of the condensate is discussed. 
M. Marklund and P.K. Shukla