期刊
PHYSICAL REVIEW LETTERS
卷 95, 期 15, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.95.157203
关键词
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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.
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