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.
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We would like to thank one of the referees of J. Stat. Phys. for pointing out this fact to us
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Hartmann, M., Mahler, G. & Hess, O. Spectral Densities and Partition Functions of Modular Quantum ystems as Derived from a Central Limit Theorem. J Stat Phys 119, 1139–1151 (2005). https://doi.org/10.1007/s10955-004-4298-5
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DOI: https://doi.org/10.1007/s10955-004-4298-5