Phys. Rev. E 79, 060105(R) (2009) [4 pages]Spin chains of Haldane-Shastry type and a generalized central limit theorem
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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.060105
DOI:
10.1103/PhysRevE.79.060105
PACS:
02.50.Cw, 05.30.−d, 75.10.Pq
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.