Density matrix renormalization group algorithms with a single center site

By S. White. 2005

187 citations recorded by the source corpus.

We develop a correction to the density matrix used in density matrix renormalization group calculations to take into account the incompleteness of the environment block. The correction allows successful calculations using only a single site in the center of the system, rather than the standard two sites, improving typical computation times by a factor of two to four. In addition, in many cases where the ordinary density matrix renormalization group method can get stuck in metastable configurations, the correction eliminates the sticking. We test the method on the Heisenberg $S=1$ chain.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/97a0975596edc4e91aa81d707c496a1c86962839

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy) (2018, methodology): “quasi-2D cylinder to a 1D chain) or models with topological phases, this density matrix perturbation can be necessary to converge towards the correct ground state. In TeNPy, this perturbation of Ref. [18] can be activated with the parameter "mixer ; the single-site DMRG is (at the moment) not i”
Hand-waving and interpretive dance: an introductory course on tensor networks (2016, unknown): “13 There are however somewhat involved methods that allow for auxiliary data to be injected in a non-local fashion such as [55, 56] (see [57] for a review), achieving a similar goal.”
The density matrix renormalization group for ab initio quantum chemistry (2014, methodology): “White suggested to add perturbative corrections to the RDM in order to enhance convergence [143].”