Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.cpc.2014.08.019 | Computer Physics Communications |
Keywords | Field | DocType |
MPS,DMRG,Ground state,Time evolution | Quantum,Mathematical optimization,Ground state,Algebra,Fermion,Computer science,Density matrix renormalization group,Quantum mechanics,Matrix product state,Time evolution,Quantum number,Renormalization group | Journal |
Volume | Issue | ISSN |
185 | 12 | 0010-4655 |
Citations | PageRank | References |
2 | 0.50 | 5 |
Authors | ||
8 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michele Dolfi | 1 | 7 | 2.36 |
| Bela Bauer | 2 | 46 | 5.00 |
| Sebastian Keller | 3 | 2 | 0.50 |
| Alexandr Kosenkov | 4 | 2 | 0.50 |
| Timothée Ewart | 5 | 2 | 0.50 |
| Adrian Kantian | 6 | 2 | 0.50 |
| Thierry Giamarchi | 7 | 2 | 0.50 |
| Matthias Troyer | 8 | 120 | 19.62 |