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Geometric phases and criticality in spin-chain systems

  • Authors: Carollo, A; Pachos, JK
  • Publication year: 2005
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Quantum phase transitions; Spin-chain systems
  • OA Link:


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 corresponds 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. It is demonstrated that the resulting phase is resilient against the main sources of errors. A physical realization with ultracold atoms in optical lattices is presented