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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.Comment: 11+5 pages, 8 figures, 2 example