Density Matrix Renormalization Group in the Heisenberg Picture

被引：54

作者：

Hartmann, Michael J. ^{[1
,2
,3
]}

Prior, Javier ^{[2
,3
,4
]}

Clark, Stephen R. ^{[4
,5
]}

Plenio, Martin B. ^{[2
,3
]}

机构：

[1] Tech Univ Munich, Dept Phys 1, D-85748 Garching, Germany

[2] Univ London Imperial Coll Sci Technol & Med, Inst Math Sci, London SW7 2PG, England

[3] Univ London Imperial Coll Sci Technol & Med, QOLS, Blackett Lab, London SW7 2BW, England

[4] Univ Oxford, Clarendon Lab, Oxford OX1 3PU, England

[5] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 102卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

QUANTUM PHASE-TRANSITIONS; SPIN CHAINS; DYNAMICS; SYSTEMS; PHYSICS; GASES;

D O I：

10.1103/PhysRevLett.102.057202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In some cases the state of a quantum system with a large number of subsystems can be approximated efficiently by the density-matrix renormalization group, which makes use of redundancies in the description of the state. Here we show that the achievable efficiency can be much better when performing density-matrix renormalization group calculations in the Heisenberg picture, as only the observable of interest but not the entire state is considered. In some nontrivial cases, this approach can even be exact for finite bond dimensions.

引用

页数：4

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