학술논문

Targeting Multiple States in the Density Matrix Renormalization Group with The Singular Value Decomposition
Document Type
Working Paper
Source
Subject
Condensed Matter - Strongly Correlated Electrons
Language
Abstract
In the Density Matrix Renormalization Group (DMRG), multiple states must be included in the density matrix when properties beyond ground state are needed, including temperature dependence, time evolution, and frequency-resolved response functions. How to include these states in the density matrix has been shown in the past. But it is advantageous to replace the density matrix by a singular value decomposition (SVD) instead, because of improved performance, and because it enables multiple targeting in the matrix product state description of the DMRG. This paper shows how to target multiple states using the SVD; it analyzes the implication of local symmetries, and discusses typical performance improvements using the example of the Hubbard model's photo-emission spectra on a ladder geometry.
Comment: 7 pages, 4 figures, 1 table