Geometric phases and criticality in spin chain systems

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dc.creatorCarollo, Angelo C. M.
dc.creatorPachos, Jiannis K.
dc.date2005-02-11
dc.date2005-08-04
dc.date.accessioned2026-07-07T06:21:02Z
dc.date.available2026-07-07T06:21:02Z
dc.descriptionA 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.
dc.description4 pages, 1 figures, RevTeX Analysis of resilience against errors and generalizations added
dc.identifierhttps://arxiv.org/abs/cond-mat/0502272
dc.identifierhttp://arxiv.org/abs/cond-mat/0502272
dc.identifierPhys. Rev. Lett. 95, 157203 (2005);
dc.identifierdoi:10.1103/PhysRevLett.95.157203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95474
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleGeometric phases and criticality in spin chain systems
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