Spectral densities and partition functions of modular quantum systems as derived from a central limit theorem

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.

arXiv comment6 pages, 4 figures, some steps added to derivation, accepted for publication in J. Stat. Phys

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