Density Matrices for a Chain of Oscillators
Statistical Mechanics
2009-10-31 v3
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.
Cite
@article{arxiv.cond-mat/9906224,
title = {Density Matrices for a Chain of Oscillators},
author = {Ingo Peschel and Ming-Chiang Chung},
journal= {arXiv preprint arXiv:cond-mat/9906224},
year = {2009}
}
Comments
15 pages,8 figures