Geometric phases and criticality in spin systems

Abstract

A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the way for the use of geometric phases as a tool to study regions of criticality without having to undergo a quantum phase transition. As a concrete example a spin-1/2 chain with XY interactions is presented and the corresponding geometric phases are analyzed. The generalization of these results to the case of an arbitrary spin system provides an explanation for the existence of such a relation.

12 pages, 4 figures

References in corpus (2)

• Geometric phases and criticality in spin chain systems
• Optimal Topological Test for Degeneracies of Real Hamiltonians

Cited by in corpus (5)

• Quantum phase transitions and quantum fidelity in free fermion graphs
• Geometric phases and quantum phase transitions in open systems
• Geometric Phase and Quantum Phase Transition : Two-Band Model
• Geometric Phases and Critical Phenomena in a Chain of Interacting Spins
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems