Matrix Product State applications for the ALPS project

Understand

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.