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

Carollo, A., Pachos, J.K. (2005). Geometric phases and criticality in spin-chain systems. PHYSICAL REVIEW LETTERS, 95(15), 157203-1-157203-4 [10.1103/PhysRevLett.95.157203].

Geometric phases and criticality in spin-chain systems

Carollo, Angelo;
2005-01-01

Abstract

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
2005
Carollo, A., Pachos, J.K. (2005). Geometric phases and criticality in spin-chain systems. PHYSICAL REVIEW LETTERS, 95(15), 157203-1-157203-4 [10.1103/PhysRevLett.95.157203].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/56208
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