03-176 B.-Q. Jin and V. E. Korepin

Entanglement, Toeplitz Determinants and Fisher-Hartwig Conjecture (277K, PostScript) Apr 15, 03

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Abstract. We consider one-dimensional quantum spin chain, which is called XX model (sometimes it is called XX0 model or isotropic XY model) in a transverse magnetic field. We are interested in the case of zero temperature and infinite volume. We study the entanglement of a block L of neighboring spins with the rest of the system. We represent the entanglement in terms of a Toeplitz determinant and calculate the asymptotic analytically . We derive first two terms of asymptotic decomposition.

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