en
Scientific article
English

The time-dependent correlation function of the Jordan–Wigner operator as a Fredholm determinant

Published inJournal of statistical mechanics, vol. 2009, no. 07, P07035
Publication date2009
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 the literature for treating similar problems.

Keywords
  • Correlation functions
Research group
Citation (ISO format)
ZVONAREV, Mikhail, CHEIANOV, V. V., GIAMARCHI, Thierry. The time-dependent correlation function of the Jordan–Wigner operator as a Fredholm determinant. In: Journal of statistical mechanics, 2009, vol. 2009, n° 07, p. P07035. doi: 10.1088/1742-5468/2009/07/P07035
Main files (1)
Article (Published version)
accessLevelRestricted
Identifiers
ISSN of the journal1742-5468
527views
0downloads

Technical informations

Creation04/28/2014 11:36:00 AM
First validation04/28/2014 11:36:00 AM
Update time03/14/2023 9:09:29 PM
Status update03/14/2023 9:09:28 PM
Last indexation01/16/2024 9:48:01 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack