Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems
Abstract
For many-electron systems, we consider a nonequilibrium state (NES) that is driven by a pump field(s), which is either an optical field or a longitudinal electric field. For the differential optical conductivity describing the differential response of the NES to a probe optical field, we derive exact sum rules and asymptotic behaviors, which open wide possibilities for experiments. In deriving these results, we have also derived universal properties of general differential response functions of time-dependent NESs of general systems.
Keywords
Cite
@article{arxiv.1101.1585,
title = {Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems},
author = {Akira Shimizu and Tatsuro Yuge},
journal= {arXiv preprint arXiv:1101.1585},
year = {2011}
}
Comments
4 pages, no figures. In v2, the title has been changed to stress that the results hold irrespective of the strength of many-body interactions. More general results, Eqs.(28) and (29), have been added. In v3, a typo in the line just after Eq.(21) has been fixed, and a few equations have been displayed