6533b7d3fe1ef96bd12615db
RESEARCH PRODUCT
Geometric phases and criticality in spin systems
Jiannis K. PachosAngelo Carollosubject
PhysicsQuantum phase transitionQuantum PhysicsXY modelBerry phaseGeneral MathematicsGeneral EngineeringSpin systemGeneral Physics and AstronomyFOS: Physical sciencescritical phenomenaFormalism (philosophy of mathematics)Theoretical physicsCriticalityQuantum Physics (quant-ph)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-01-01 |