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Within the study of the quantum many-body problem in physics, the DMRG analysis of the Heisenberg model is an important theoretical example applying techniques of the density matrix renormalization group to the Heisenberg model of a chain of spins. This article presents the "infinite" DMRG algorithm for the S = 1 {\displaystyle S=1} antiferromagnetic Heisenberg chain, but the recipe can be applied for every translationally invariant one-dimensional lattice.

DMRG is a renormalization-group technique because it offers an efficient truncation of the Hilbert space of one-dimensional quantum systems.

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