The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain

Abstract

Toeplitz matrices have applications to different problems of statistical mechanics. Recently it was used for calculation of entanglement entropy in exactly solvable models including spin chains. We use Fisher-Hartwig formula to calculate entanglement entropy [as well as Rényi entropy] of large block of spins in the ground state of XY spin chain. In the end of the paper we announce our recent results [with F. Franchini and L. A. Takhtajan] on spectrum of density matrix of the block of spins.

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Cite this paper

@inproceedings{Its2009TheFF, title={The Fisher-Hartwig Formula and Generalized Entropies in XY Spin Chain}, author={Alexander Its and Vladimir E. Korepin}, year={2009} }