Geometric phases and criticality in spin-chain systems

被引：204

作者：

Carollo, ACM ^{[1
]}

Pachos, JK ^{[1
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Ctr Computat Quantum, Cambridge CB3 0WA, England

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 15期

关键词：

D O I：

10.1103/PhysRevLett.95.157203

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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