A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method
Statistical Mechanics
2010-05-20 v1 Other Condensed Matter
Abstract
We report a physical background of the wave function prediction in the infinite system density matrix renormalization group (DMRG) method, from the view point of two-dimensional vertex model, a typical lattice model in statistical mechanics. Singular value decomposition applied to rectangular corner transfer matrices naturally draws matrix product representation for the maximal eigenvector of the row-to-row transfer matrix. The wave function prediction can be expressed as the insertion of an approximate half-column transfer matrix. This insertion process is in accordance with the scheme proposed by McCulloch recently.
Cite
@article{arxiv.0911.5601,
title = {A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method},
author = {Hiroshi Ueda and Andrej Gendiar and Tomotoshi Nishino},
journal= {arXiv preprint arXiv:0911.5601},
year = {2010}
}
Comments
6 pages, 9 figures