Maxwell-Bloch equation and Correlation function for penetrable Bose gas
High Energy Physics - Theory
2009-10-30 v3 Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
solv-int
Abstract
We consider the quantum nonlinear Schr\"odinger equation in one space and one time dimension. We are interested in the non-free-fermionic case. We consider static temperature-dependent correlation functions. The determinant representation for correlation functions simplifies in the small mass limit of the Bose particle. In this limit we describe the correlation functions by the vacuum expectation value of a boson-valued solution for Maxwell-Bloch differential equation. We evaluate long-distance asymptotics of correlation functions in the small mass limit.
Keywords
Cite
@article{arxiv.hep-th/9608066,
title = {Maxwell-Bloch equation and Correlation function for penetrable Bose gas},
author = {T. Kojima and V. Korepin},
journal= {arXiv preprint arXiv:hep-th/9608066},
year = {2009}
}
Comments
LaTEX file, 20 pages, to appear J. Phys. A (1997)