Full counting statistics and the Edgeworth series for matrix product states

被引：13

作者：

Shi, Yifei ^{[1
]}

Klich, Israel ^{[1
]}

机构：

[1] Univ Virginia, Dept Phys, Charlottesville, VA 22904 USA

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2013年

基金：

美国国家科学基金会;

关键词：

solvable lattice models; mesoscopic systems (theory); spin chains; ladders and planes (theory); entanglement in extended quantum systems (theory); GROUND-STATES; QUANTUM;

D O I：

10.1088/1742-5468/2013/05/P05001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the full counting statistics of spin in matrix product states. In particular, we study the approach to a Gaussian distribution for magnetization. We derive the asymptotic corrections to the central limit theorem for magnetization distribution for finite but large blocks in analogy to the Edgeworth series. We also show how central limit theorem like behavior is modified for certain states with topological characteristics such as the AKLT

引用

页数：12

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