Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - The time-dependent correlation function of the Jordan-Wigner operator as a Fredholm determinant
AU - Zvonarev, M. B.
AU - Cheianov, Vadim
AU - Giamarchi, T.
PY - 2009/7
Y1 - 2009/7
N2 - 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.
AB - 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.
U2 - 10.1088/1742-5468/2009/07/P07035
DO - 10.1088/1742-5468/2009/07/P07035
M3 - Journal article
SP - -
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
SN - 1742-5468
M1 - P07035
ER -