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Density matrices for a chain of oscillators

Ingo PeschelFachbereich Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, GermanyMing-Chiang ChungFachbereich Physik, Freie Universität Berlin, Arnimallee 14, D-14195 Berlin, Germany
1999en
ABI

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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