Renormalization and tensor product states in spin chains and lattices

被引：308
|
作者：
Cirac, J. Ignacio [1 ]
Verstraete, Frank [2 ]
机构：
[1] Max Planck Inst Quantum Opt, D-85748 Garching, Germany
[2] Univ Vienna, Fak Phys, A-1090 Vienna, Austria
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 50期
关键词：
BOND GROUND-STATES; MATRIX; SYSTEMS; ALGORITHM;
D O I：
10.1088/1751-8113/42/50/504004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We review different descriptions of many-body quantum systems in terms of tensor product states. We introduce several families of such states in terms of the known renormalization procedures, and show that they naturally arise in that context. We concentrate on matrix product states, tree tensor states, multiscale entanglement renormalization ansatz and projected entangled pair states. We highlight some of their properties, and show how they can be used to describe a variety of systems.
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收藏
页数：34
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