Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains

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1998 EDP Sciences
, , Citation J. Dukelsky et al 1998 EPL 43 457 DOI 10.1209/epl/i1998-00381-x

0295-5075/43/4/457

Abstract

We study the relationship between the Density Matrix Renormalization Group (DMRG) and the variational matrix product method (MPM). In the latter method one can also define a density matrix whose eigenvalues turn out to be numerically close to those of the DMRG. We illustrate our ideas with the spin-1 Heisenberg chain, where we compute the ground-state energy and the spin correlation length. We also give a rotational invariant formulation of the MPM.

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10.1209/epl/i1998-00381-x