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

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

2008-12-22

arxiv.org/abs/0812.4059v2

J. Stat. Mech. (2009) P07035

Physics

Condensed Matter

Other Condensed Matter

references added, introduction and conclusion modified, version accepted for publication in J. Stat. Mech

Scientific paper

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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