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24 April 2024

» arxiv » 0812.4059

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Time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant
M. B. Zvonarev ; V. V. Cheianov ; T. Giamarchi ;
Date:	22 Dec 2008
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.
Source:	arXiv, 0812.4059
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