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Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains

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arxiv cond-mat/9710310 v1 pith:P5JPYRCF submitted 1997-10-29 cond-mat.str-el cond-mat.supr-con

J.Dukelsky , M.A. Martin-Delgado , T. Nishino , G. Sierra This is my paper · ORCID
classification cond-mat.str-elcond-mat.supr-con
keywords matrixspindensitymethodparametersvariationalchainsproduct
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We present a rotationally invariant matrix product method (MPM) of isotropic spin chains. This allows us to deal with a larger number of variational MPM parameters than those considered earlier by other authors. We also show the relation between the MPM and the DMRG method of White. In our approach the eigenstates of the density matrix associated with the MPM are used as variational parameters together with the standard MPM parameters. We compute the ground state energy density and the spin correlation length of the spin 1 Heisenberg chain.

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  1. Symmetry-enforced minimal entanglement and correlation in quantum spin chains

    cond-mat.str-el 2024-12 conditional novelty 8.0 of 10

    For integer-spin chains with SO(3) and translation symmetry, the minimal Renyi entropy is the smaller of two explicit expressions, and zero correlation length is forbidden.

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