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

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

2009-06-24

arxiv.org/abs/0906.4511v4

Journal of Statistical Physics: Volume 137, Issue 5 (2009), Page 1014.

Physics

Mathematical Physics

29 page, 2 figures

Scientific paper

Toeplitz matrices have applications to different problems of statistical mechanics. Recently they were used for calculation of entanglement entropy in spin chains. We use the Fisher-Hartwig formula to calculate entanglement entropy of large block of spins in the ground state of XY spin chain. We also calculate Renyi entropy and prove that the spectrum of the density matrix of a block of spins is exact geometric sequence [also different eigenvalues are degenerated differently].

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