A Classical Background for the Wave Function Prediction in the Infinite System Density Matrix Renormalization Group Method
Hiroshi Ueda, Andrej Gendiar, Tomotoshi Nishino
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.
arXiv:0911.5601•Journal of the Physical Society of Japan•Mar 25, 2010•11 citations