Operator quantum geometric tensor and quantum phase transitions

被引：10
|
作者：
Lu, Xiao-Ming [1 ]
Wang, Xiaoguang [1 ]
机构：
[1] Zhejiang Univ, Dept Phys, Zhejiang Inst Modern Phys, Hangzhou 310027, Zhejiang, Peoples R China
来源：
EPL | 2010年 / 91卷 / 03期
关键词：
STATISTICAL DISTANCE; MECHANICS; EVOLUTION; STATES;
D O I：
10.1209/0295-5075/91/30003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We extend the quantum geometric tensor from the state space to the operator level, and investigate its properties like the additivity for factorizable models and the splitting of two kinds contributions for the case of stationary reference states. This operator quantum geometric tensor (OQGT) is shown to reflect the sensitivity of unitary operations against perturbations of multi-parameters. General results for the cases of time evolutions with given stationary reference states are obtained. By this approach, we get exact results for the rotated XY models, and show relations between the OQGT and quantum criticality. Copyright (c) EPLA, 2010
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页数：6
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