Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation
High Energy Physics - Theory
2009-11-07 v2 Number Theory
Quantum Algebra
Abstract
We consider the one-dimensional XXX spin 1/2 Heisenberg antiferromagnet at zero temperature and zero magnetic field. We are interested in a probability of formation of a ferromagnetic string in the antiferromagnetic ground-state. We call it emptiness formation probability [EFP]. We suggest a new technique for computation of EFP in the inhomogeneous case. It is based on quantum Knizhnik-Zamolodchikov equation. We evalauted EFP for strings of the length six in the inhomogeneous case. The homogeneous limit confirms our hypothesis about the relation of quantum correlations to number theory. We also make a conjecture about a general structure of EFP for arbitrary lenght of the string \.
Keywords
Cite
@article{arxiv.hep-th/0209246,
title = {Emptiness Formation Probability and Quantum Knizhnik-Zamolodchikov Equation},
author = {H. E. Boos and V. E. Korepin and F. A. Smirnov},
journal= {arXiv preprint arXiv:hep-th/0209246},
year = {2009}
}
Comments
LATEX file, 23 pages, 21 references