Hedin equations in resonant micro-cavities
Abstract
With the improvement of the experimental techniques, many new phenomena where the photon degrees of freedom are involved have been discovered. Typical examples are the exciton-polariton quasi-particles, excitons strongly coupled to photons. A correct description of these systems requires a full account of the photon's dynamics, including the vector gauge degrees of freedom. In order to include this contribution in \emph{ab initio} many-body perturbation theories, here we present a generalization of the Hedin equations, originally derived for a many electron system with Coulomb interaction. These equations are now derived in order to take into account the strong coupling physics of the electrons and the \textit{transverse} photon's degrees of freedom.
Cite
@article{arxiv.1509.02656,
title = {Hedin equations in resonant micro-cavities},
author = {P. E. Trevisanutto and M. Milletarì},
journal= {arXiv preprint arXiv:1509.02656},
year = {2016}
}