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.

11+5 pages, 8 figures, 2 examples

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Cited by in corpus (4)

• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Self-Consistent Embedding of Density-Matrix Renormalization Group Wavefunctions in a Density Functional Environment
• Efficient Continuous-time Quantum Monte Carlo Method for the Ground State of Correlated Fermions
• Minimizing nonadiabaticities in optical-lattice loading