Quantum phases and dynamics of geometric phase in a quantum spin chain   system under linear quench
  We study the quantum phases of anisotropic XY spin chain system in presence and absence of adiabatic quench. A connection between geometric phase and criticality is established from the dynamical behaviour of the geometric phase for a quench induced quantum phase transition in a quantum spin chain. We predict XX criticality associated with a sequence of non-contractible geometric phases. 
Sujit Sarkar and B. Basu
quant-ph cond-mat.str-el