Kinetic equations for real scalar fields coupled to a continuum of atoms
Optics
2023-12-01 v1
Abstract
We consider a model of a scalar field, with dispersion relation {\omega}(k), coupled to a random medium of two level atoms. We investigate the dynamics of states with at most one quanta of excitation in the system. In a high frequency limit, the probability amplitudes are shown to satisfy kinetic equations. Under additional hypotheses on the dispersion relation, we obtain an analytically solvable expression in the diffusion limit.
Keywords
Cite
@article{arxiv.2311.18180,
title = {Kinetic equations for real scalar fields coupled to a continuum of atoms},
author = {Joseph Kraisler and Joonsoo Lee},
journal= {arXiv preprint arXiv:2311.18180},
year = {2023}
}
Comments
17 pages, 6 figures