Time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant
Other Condensed Matter
2009-07-31 v2 Strongly Correlated Electrons
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 literature for treating similar problems.
Keywords
Cite
@article{arxiv.0812.4059,
title = {Time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant},
author = {M. B. Zvonarev and V. V. Cheianov and T. Giamarchi},
journal= {arXiv preprint arXiv:0812.4059},
year = {2009}
}
Comments
references added, introduction and conclusion modified, version accepted for publication in J. Stat. Mech