Matrix product operator representations

被引：238

作者：

Pirvu, B. ^{[1
]}

Murg, V. ^{[1
,2
]}

Cirac, J. I. ^{[2
]}

Verstraete, F. ^{[1
]}

机构：

[1] Univ Vienna, Fak Phys, A-1090 Vienna, Austria

[2] Max Planck Inst Quantum Opt, D-85748 Garching, Germany

来源：

NEW JOURNAL OF PHYSICS | 2010年 / 12卷

基金：

奥地利科学基金会;

关键词：

D O I：

10.1088/1367-2630/12/2/025012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix product states and projected entangled pair states. In particular, we construct translationally invariant MPOs suitable for time evolution, and show how such descriptions are possible for Hamiltonians with long-range interactions. We show how these tools can be exploited for constructing new algorithms for simulating quantum spin systems.

引用

页数：13

共 17 条

[1]

CROSSWHITE GM, 2007, ARXIV07081221

[2]

CROSSWHITE GM, 2008, ARXIV08042504

[3] Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces -: art. no. P04005 [J].