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Enciso, Alberto and Finkel Morgenstern, Federico and González López, Artemio (2009) Spin chains of Haldane-Shastry type and a generalized central limit theorem. Physical review E, 79 (6). ISSN 1539-3755
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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.060105
Abstract
We show that the density of energy levels of a wide class of finite-dimensional quantum systems tends to a Gaussian distribution as the number of degrees of freedom increases. Our result is based on a variant of the central limit theorem which is especially suited to models whose partition function is explicitly known. In particular, we provide a theoretical explanation of the fact that the level density of several spin chains of Haldane-Shastry type is asymptotically Gaussian when the number of sites tends to infinity.
Item Type: | Article |
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Additional Information: | ©2009 The American Physical Society. |
Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |
ID Code: | 31287 |
Deposited On: | 03 Jul 2015 16:53 |
Last Modified: | 10 Dec 2018 15:09 |
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