Eur. Phys. J. B (2012) 85: 403
https://doi.org/10.1140/epjb/e2012-30428-0

Regular Article

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

¹ Poornaprajna Institute of Scientific Research, 4 Sadashivanagar, 560080 Bangalore, India
² Physics and Applied Mathematics Unit, Indian Statistical Institute, 700108 Kolkata, India

^a e-mail: sujit.tifr@gmail.com

Received: 29 May 2012
Received in final form: 23 August 2012
Published online: 6 December 2012

Abstract

We study the quantum phases of anisotropic XY spin chain in presence and absence of adiabatic quench. A connection between geometric phase and criticality is established from the dynamical behavior 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.