Strictly single-site DMRG algorithm with subspace expansion

Hubig, C., McCulloch, I. P., Schollwoeck, U. and Wolf, F. A. (2015) Strictly single-site DMRG algorithm with subspace expansion. Physical Review B, 91 15: 155115-155115. doi:10.1103/PhysRevB.91.155115

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Author Hubig, C.
McCulloch, I. P.
Schollwoeck, U.
Wolf, F. A.
Title Strictly single-site DMRG algorithm with subspace expansion
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2015-04
Year available 2015
Sub-type Article (original research)
DOI 10.1103/PhysRevB.91.155115
Open Access Status File (Publisher version)
Volume 91
Issue 15
Start page 155115
End page 155115
Total pages 10
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2015
Language eng
Formatted abstract
We introduce a strictly single-site DMRG algorithm based on the subspace expansion of the alternating minimal energy (AMEn) method. The proposed new MPS basis enrichment method is sufficient to avoid local minima during the optimization, similar to the density matrix perturbation method, but computationally cheaper. Each application of Hˆ to |Ψ⟩ in the central eigensolver is reduced in cost for a speed-up of ≈(d+1)/2, with d the physical site dimension. Further speed-ups result from cheaper auxiliary calculations and an often greatly improved convergence behavior. Runtime to convergence improves by up to a factor of 2.5 on the Fermi-Hubbard model compared to the previous single-site method and by up to a factor of 3.9 compared to two-site DMRG. The method is compatible with real-space parallelization and non-Abelian symmetries.
Keyword Matrix renormalization group
Systems
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2016 Collection
 
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Created: Sun, 03 May 2015, 01:01:22 EST by System User on behalf of Engineered Quantum Systems