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Density Matrices for a Chain of Oscillators

1999/06/30 by Ingo Peschel, Ming-Chiang Chung · 2 citations
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/32/48/305

published as J.Phys.A:Math.Gen.Vol.32.Num.48(Dec.1999)8419-8428 · 15 pages,8 figures

arxiv created 1999/07/26 · arxiv updated 2009/11/30

Abstract

We consider chains with an optical phonon spectrum and study the reduced density matrices which occur in density-matrix renormalization group (DMRG) calculations. Both for one site and for half of the chain, these are found to be exponentials of bosonic operators. Their spectra, which are correspondingly exponential, are determined and discussed. The results for large systems are obtained from the relation to a two-dimensional Gaussian model.

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