Density Matrices for a Chain of Oscillators

Details Density Matrices for a Chain of Oscillators Density Matrices for a Chain of Oscillators

1999-06-15

arxiv.org/abs/cond-mat/9906224v3

J.Phys.A:Math.Gen.Vol.32.Num.48(Dec.1999)8419-8428

Physics

Condensed Matter

Statistical Mechanics

15 pages,8 figures

Scientific paper

10.1088/0305-4470/32/48/305

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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