@article{dolfi2014matrix,
author = {Dolfi, Michele and Bauer, Bela and Keller, Sebastian and Kosenkov, Alexandr and Ewart, Timothée and Kantian, Adrian and Giamarchi, Thierry and Troyer, Matthias},
title = {Matrix Product State applications for the ALPS project},
year = {2014},
month = {December},
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.},
publisher = {North-Holland},
url = {http://approjects.co.za/?big=en-us/research/publication/matrix-product-state-applications-alps-project/},
pages = {3430-3440},
journal = {Computer Physics Communications},
volume = {185},
chapter = {12},
}