Entanglement, Toeplitz Determinants and Fisher-Hartwig Conjecture

Preprint

23 June 2003

preprint
Published by arXiv in arXiv

Abstract

We consider the one-dimensional quantum spin chain, which is called the XX 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 of L neighboring spins with the rest of the system. We represent the entanglement in terms of a Toeplitz determinant and study the entanglement of large blocks asymptotically. We derive the first two terms of the asymptotic decomposition analytically.

Keywords

TOEPLITZ DETERMINANTS
HARTWIG CONJECTURE
FISHER HARTWIG
MAGNETIC FIELD
ENTANGLEMENT
QUANTUM SPIN
SPIN CHAIN

All Related Versions

Version 1, 2003-04-15, ArXiv
Version 2, 2003-06-23, ArXiv
Version 3, 2003-07-02, ArXiv
Version 4, 2003-12-16, ArXiv
Published version: Journal of Statistical Physics, 116 (1-4), 79.

This publication has 0 references indexed in Scilit: