Localized excitations at the Mott Insulator-Superfluid interfaces for   confined Bose-Einstein condensates
  In this paper we derive the dispersion relation of the surface waves at the interfaces between Mott insulating and Superfluid phases for confined Bose-Einstein Condensates. We then calculate their contribution to the heat capacity of the system and show how its low temperature scaling allows an experimental test of the existence and properties of Mott Insulator-Superfluid domains. 
Eros Mariani and Ady Stern