Matrix Product State applications for the ALPS project
Abstract
The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems. In this paper, we present a new set of applications, available as part of the ALPS package, that provide an efficient and flexible implementation of these methods based on a matrix-product state (MPS) representation. Our applications implement, within the same framework, algorithms to variationally find the ground state and low-lying excited states as well as simulate the time evolution of arbitrary one-dimensional and two-dimensional models. Implementing the conservation of quantum numbers for generic Abelian symmetries, we achieve performance competitive with the best codes in the community. Example results are provided for (i) a model of itinerant fermions in one dimension and (ii) a model of quantum magnetism.
Cite
@article{arxiv.1407.0872,
title = {Matrix Product State applications for the ALPS project},
author = {Michele Dolfi and Bela Bauer and Sebastian Keller and Alexandr Kosenkov and Timothée Ewart and Adrian Kantian and Thierry Giamarchi and Matthias Troyer},
journal= {arXiv preprint arXiv:1407.0872},
year = {2014}
}
Comments
11+5 pages, 8 figures, 2 examples