The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Strictly single-site DMRG algorithm with subspace expansion
Open accessAbstract
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 $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{H}$ to $|\ensuremath{\Psi}\ensuremath{\rangle}$ in the central eigensolver is reduced in cost for a speed-up of $\ensuremath{\approx}(d+1)/2$, 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.
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Cites
Density matrix formulation for quantum renormalization groups
White, S. R. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.2863 · Cited by 7,702
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Self-citationThe density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Self-citationEntanglement in Quantum Critical Phenomena
Vidal, G., Latorre, J. I., Rico, E., & Kitaev, A. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.227902 · Cited by 2,793
Studying Two-Dimensional Systems with the Density Matrix Renormalization Group
Stoudenmire, E. M., & White, S. R. (2012) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-020911-125018 · Cited by 451
Cited by
Time-evolution methods for matrix-product states
Paeckel, S., Köhler, T., Swoboda, A., Manmana, S. R., Schollwöck, U., & Hubig, C. (2019) · Annals of Physics · doi:10.1016/j.aop.2019.167998 · Cited by 768
Self-citationEfficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
Hauschild, J., & Pollmann, F. (2018) · SciPost Physics Lecture Notes · doi:10.21468/scipostphyslectnotes.5 · Cited by 438
Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model
Qin, M., Chung, C.-M., Shi, H., Vitali, E., Hubig, C., Schollwöck, U., White, S. R., Zhang, S., & Simons Collaboration on the Many-Electron Problem (2020) · Physical Review X · doi:10.1103/physrevx.10.031016 · Cited by 298
Self-citationVariational optimization algorithms for uniform matrix product states
Zauner-Stauber, V., Vanderstraeten, L., Fishman, M. T., Verstraete, F., & Haegeman, J. (2018) · Physical Review B · doi:10.1103/physrevb.97.045145 · Cited by 270
Coexistence of superconductivity with partially filled stripes in the Hubbard model
Xu, H., Chung, C.-M., Qin, M., Schollwöck, U., White, S. R., & Zhang, S. (2024) · Science · doi:10.1126/science.adh7691 · Cited by 144
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Metadata
- Authors
- Hubig, C., McCulloch, I. P., Schollwöck, U., & Wolf, F. A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2015-04-10
- Volume
- 91
- Issue
- 15
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2084546468
- Cited by
- 171
- References
- 5
- FWCI
- 6.11
- Type
- journal article
- Language
- en
- Open access
- green
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