Stable optimization of a tensor product variational state

被引：46

作者：

Gendiar, A ^{[1
]}

Maeshima, N

Nishino, T

机构：

[1] Kobe Univ, Fac Sci, Dept Phys, Kobe, Hyogo 6578501, Japan

[2] Slovak Acad Sci, Inst Elect Engn, SK-84239 Bratislava, Slovakia

[3] Osaka Univ, Grad Sch Sci, Dept Phys, Toyonaka, Osaka 5600043, Japan

来源：

PROGRESS OF THEORETICAL PHYSICS | 2003年 / 110卷 / 04期

关键词：

DENSITY-MATRIX RENORMALIZATION; CLASSICAL-MODELS; APPROXIMATION; FORMULATION;

D O I：

10.1143/PTP.110.691

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a variational problem for three-dimensional (3D) classical lattice models. We construct the trial state as a two-dimensional product of local variational weights that contain auxiliary variables. We propose a stable numerical algorithm for the maximization of the variational partition function per layer. The numerical stability and efficiency of the new method are examined through its application to the 3D using model.

引用

页码：691 / 699

页数：9

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