Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering
Quantum Gases
2017-08-08 v1
Abstract
I derive a Fredholm determinant for the thermal correlator of vertex operators with a conformally invariant density matrix and nonlinear time evolution. Using the method of nonlinear steepest descent I find the long time asymptotics at finite temperature. The asymptotics display exponentially small corrections in temperature to the finite temperature mobile impurity phenomenology.
Keywords
Cite
@article{arxiv.1708.02170,
title = {Long time thermal asymptotics of nonlinear Luttinger liquid from inverse scattering},
author = {Tom Price},
journal= {arXiv preprint arXiv:1708.02170},
year = {2017}
}
Comments
18 pages, 1 figure. Submission to SciPost