2005/02/28 by Angelo C. M. Carollo, Jiannis K. Pachos · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.95.157203
published as Phys. Rev. Lett. 95, 157203 (2005); · 4 pages, 1 figures, RevTeX Analysis of resilience against errors and generalizations added
arxiv created 2005/08/04 · arxiv updated 2009/12/01
A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of criticality without having to undergo a quantum phase transition. We analytically evaluate the geometric phase that correspond to the ground and excited states of the anisotropic XY model in the presence of a transverse magnetic field when the direction of the anisotropy is adiabatically rotated. Ultra-cold atoms in optical lattices are presented as a possible physical realization.