RT Journal Article
T1 Spin chains of Haldane-Shastry type and a generalized central limit theorem
A1 Enciso, Alberto
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
AB 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.
PB American Physical Society
SN 1539-3755
YR 2009
FD 2009-06
LK https://hdl.handle.net/20.500.14352/44675
UL https://hdl.handle.net/20.500.14352/44675
LA eng
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NO ©2009 The American Physical Society.This work was supported in part by the MICINN and the UCM-Banco Santander under Grants No. FIS2008-00209 and No. GR58/08-910556. A.E. acknowledges the financial support of the Spanish Ministry of Science. The authors would also like to thank the referees for several useful remarks.
NO MICINN (Spain)
NO UCM-Banco Santander
DS Docta Complutense
RD 6 may 2024