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arXiv · 0812.4059

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

M. B. Zvonarev·V. V. Cheianov·T. Giamarchi
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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.

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M. B. Zvonarev, V. V. Cheianov, T. Giamarchi. 2009-07-31. Time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant. https://arxiv.org/abs/0812.4059

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