ABSTRACT
Quantum phase transitions realized in inhomogeneous potentials is a topic of major importance in condensed matter physics. It involves non-trivial matter states, as Josephson oscillations for double potential wells [55], Mott insulators for periodic potentials [56], and Bose glasses for disorder potentials [57]. The case of disorder potentials is a crucial matter both for the intrinsic interest of phase transitions and for the unavoidable disorder in real systems. It is worth the effort to address this issue for the case of polariton condensates.
