Ground State of the Double-Well Condensates Interacting with Trap   Oscillations
  In the present paper it is shown that the interaction between oscillations of a double-well trappedcondensate and excited Josephson states corresponding to a large enough initial disbalance of the particle number generates their bound state. The bound state can realize an absolute minimum of the thermodynamic energy. The existence of the equilibrium bound state implies that the Josephson states can be detected by observing thechange in the condensate shape. 
L. A. Manakova (RRC Kurchatov Institute)