Geometric phases and criticality in spin chain systems

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 1 figures, RevTeX Analysis of resilience against errors and generalizations added

Scientific paper

10.1103/PhysRevLett.95.157203

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.

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