Quantum phases and dynamics of geometric phase in a quantum spin chain system under linear quench

Abstract

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.

9 pages, 3 figures, one reference added. arXiv admin note: significant text overlap with arXiv:0908.3299