Real-Space Parallel Density Matrix Renormalization Group
Abstract
We demonstrate how to parallelize the density matrix renormalization group (DMRG) algorithm in real space through a straightforward modification of serial DMRG. This makes it possible to apply at least an order of magnitude more computational power to challenging simulations, greatly accelerating investigations of two-dimensional systems and large parameter spaces. We discuss details of the algorithm and present benchmark results including a study of valence-bond-solid order within the square-lattice Q2 model and Neel order within the triangular lattice Heisenberg model. The parallel DMRG algorithm also motivates an alternative canonical form for matrix product states.
Cite
@article{arxiv.1301.3494,
title = {Real-Space Parallel Density Matrix Renormalization Group},
author = {E. M. Stoudenmire and Steven R. White},
journal= {arXiv preprint arXiv:1301.3494},
year = {2013}
}
Comments
5 pages, 5 figures; New version includes triangular Heisenberg AFM, discussion of inverse MPS gauge, and accurate SVD algorithm (similar to PRB version)