B.-Q. Jin and V. E. Korepin
Entanglement, Toeplitz Determinants
and Fisher-Hartwig Conjecture
(277K, PostScript)
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.