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The time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant

Research output: Contribution to journalJournal article

Published

Article numberP07035
Journal publication date07/2009
JournalJournal of statistical mechanics-Theory and experiment
Number of pages10
Pages-
Original languageEnglish

Abstract

We calculate a correlation function of the Jordan-Wigner operator in a class of free-fermion models formulated on an infinite one-dimensional lattice. We represent this function in terms of the determinant of an integrable Fredholm operator, convenient for analytic and numerical investigations. By using Wick's theorem, we avoid the form-factor summation customarily used in the literature for treating similar problems.