Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem
Statistical Mechanics
2009-11-10 v2 Quantum Physics
Abstract
Using a central limit theorem for arrays of interacting quantum systems, we give analytical expressions for the density of states and the partition function at finite temperature of such a system, which are valid in the limit of infinite number of subsystems. Even for only small numbers of subsystems we find good accordance with some known, exact results.
Cite
@article{arxiv.cond-mat/0406100,
title = {Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem},
author = {Michael Hartmann and Guenter Mahler and Ortwin Hess},
journal= {arXiv preprint arXiv:cond-mat/0406100},
year = {2009}
}
Comments
6 pages, 4 figures, some steps added to derivation, accepted for publication in J. Stat. Phys