Matrix product state applications for the ALPS project

DOI10.1016/J.CPC.2014.08.019zbMath1360.81016arXiv1407.0872OpenAlexW2152282236WikidataQ62098160 ScholiaQ62098160MaRDI QIDQ525758

Adrian Kantian, Michele Dolfi, Bela Bauer, Thierry Giamarchi, Sebastian Keller, Matthias Troyer, Alexandr Kosenkov, Timothée Ewart

Publication date: 5 May 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0872

zbMATH Keywords

MPSground statetime evolutionDMRG

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Renormalization group methods applied to problems in quantum field theory (81T17) Many-body theory; quantum Hall effect (81V70) Software, source code, etc. for problems pertaining to quantum theory (81-04) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

Open source matrix product states: opening ways to simulate entangled many-body quantum systems in one dimension

Uses Software

• ALPS
• CheMPS2
• ALPS MPS
• ITensor

Cites Work

• CheMPS2: a free open-source spin-adapted implementation of the density matrix renormalization group for ab initio quantum chemistry
• The density-matrix renormalization group in the age of matrix product states
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• Colloquium: Area laws for the entanglement entropy
• Entropy Scaling and Simulability by Matrix Product States
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• On the Product of Semi-Groups of Operators
• Hybridization expansion Monte Carlo simulation of multi-orbital quantum impurity problems: matrix product formalism and improved sampling
• An area law for one-dimensional quantum systems

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