Algorithms for entanglement renormalization

被引：244

作者：

Evenbly, G. ^{[1
]}

Vidal, G. ^{[1
]}

机构：

[1] Univ Queensland, Sch Phys Sci, Brisbane, Qld 4072, Australia

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 14期

基金：

澳大利亚研究理事会;

关键词：

energy gap; Heisenberg model; Ising model; iterative methods; optimisation; Potts model; quantum entanglement; renormalisation; CHAIN; MODEL;

D O I：

10.1103/PhysRevB.79.144108

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We describe an iterative method to optimize the multiscale entanglement renormalization ansatz for the low-energy subspace of local Hamiltonians on a D-dimensional lattice. For translation-invariant systems the cost of this optimization is logarithmic in the linear system size. Specialized algorithms for the treatment of infinite systems are also described. Benchmark simulation results are presented for a variety of one-dimensional systems, namely, Ising, Potts, XX, and Heisenberg models. The potential to compute expected values of local observables, energy gaps, and correlators is investigated.

引用

页数：20

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