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Density matrix renormalization group algorithms with a single center site

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arxiv cond-mat/0508709 v1 pith:7JU3YHAF submitted 2005-08-29 cond-mat.str-el

Density matrix renormalization group algorithms with a single center site

classification cond-mat.str-el
keywords correctiondensitymatrixcalculationscentergrouprenormalizationsingle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 ordinary DMRG can get stuck in metastable configurations, the correction eliminates the sticking. We test the new method on the Heisenberg S=1 chain.

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Cited by 2 Pith papers

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    Introduces wavelet matrix product states as a tensor network variational method for continuum quantum fields, allowing standard MPS algorithms and scale refinement, tested on Lieb-Liniger energy and correlations.

  2. Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere

    cond-mat.str-el 2026-04 unverdicted novelty 6.0

    Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.