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arXiv · 0911.5601

A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method

Hiroshi Ueda·Andrej Gendiar·Tomotoshi Nishino
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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.

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Hiroshi Ueda, Andrej Gendiar, Tomotoshi Nishino. 2009-11-30. A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method. https://doi.org/10.1143/jpsj.79.044001

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