Geometric phases and criticality in spin systems

Details Geometric phases and criticality in spin systems Geometric phases and criticality in spin systems

2006-02-17

arxiv.org/abs/quant-ph/0602154v1

Phil. Trans. R. Soc. A 364, 3463--3476 (2006)

Physics

Quantum Physics

12 pages, 4 figures

Scientific paper

10.1098/rsta.2006.1894

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.

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