The Fisher-Hartwig Formula and Entanglement Entropy |
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| Authors: | A R Its V E Korepin |
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| Institution: | 1. Indiana University, Purdue University Indianapolis, Indianapolis, USA
2. C.N. Yang Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY, 11794-3840, USA
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| Abstract: | Toeplitz matrices have applications to different problems of statistical mechanics. Recently it was used for calculation of entanglement entropy in spin chains. In the paper we review these recent developments. We use the Fisher-Hartwig formula, as well as the recent results concerning the asymptotics of the block Toeplitz determinants, to calculate entanglement entropy of large block of spins in the ground state of XY spin chain. |
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