ALPS MPS swMATH ID: 19924 Software Authors: Dolfi, Michele; Bauer, Bela; Keller, Sebastian; Kosenkov, Alexandr; Ewart, Timoth'ee; Kantian, Adrian; Giamarchi, Thierry; Troyer, Matthias Description: Matrix product state applications for the ALPS project. 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. Homepage: http://cpc.cs.qub.ac.uk/summaries/AEUL_v1_0.html Keywords: MPS; DMRG; ground state; time evolution Related Software: ITensor; CheMPS2; ALPS Cited in: 1 Publication all top 5 Cited by 8 Authors 1 Bauer, Bela 1 Dolfi, Michele 1 Ewart, Timothée 1 Giamarchi, Thierry 1 Kantian, Adrian 1 Keller, Sebastian 1 Kosenkov, Alexandr 1 Troyer, Matthias Cited in 1 Serial 1 Computer Physics Communications Cited in 2 Fields 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year