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

TL;DR

This paper investigates how the geometric phase behaves during quantum phase transitions in an anisotropic XY spin chain, revealing critical points and phase sequences through dynamical analysis.

Contribution

It establishes a link between geometric phase dynamics and criticality in a quantum spin chain under linear quench, highlighting new critical behaviors.

Findings

Identification of XX criticality linked to non-contractible geometric phases

Demonstration of geometric phase as a marker for quantum phase transitions

Analysis of geometric phase behavior during adiabatic and non-adiabatic quenches

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.