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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
<mark>Journal publication date</mark>07/2009
<mark>Journal</mark>Journal of Statistical Mechanics: Theory and Experiment
Number of pages10
Pages-
<mark>Original language</mark>English

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.