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Abstract: In this paper we study Inozemtsev-s sum quantum spin model with hyperbolicinteractions and the associated spin chain of Haldane-Shastry type introducedby Frahm and Inozemtsev. We compute the spectrum of Inozemtsev-s model, and usethis result and the freezing trick to derive a simple analytic expression forthe partition function of the Frahm-Inozemtsev chain. We show that the energylevels of the latter chain can be written in terms of the usual motifs for theHaldane-Shastry chain, although with a different dispersion relation. Theformula for the partition function is used to analyze the behavior of the leveldensity and the distribution of spacings between consecutive unfolded levels.We discuss the relevance of our results in connection with two well-knownconjectures in quantum chaos.



Author: J.C. Barba, F. Finkel, A. Gonzalez-Lopez, M.A. Rodriguez

Source: https://arxiv.org/







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