Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains
- 15 August 1998
- journal article
- Published by IOP Publishing in Europhysics Letters
- Vol. 43 (4) , 457-462
- https://doi.org/10.1209/epl/i1998-00381-x
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.Keywords
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