Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems

Details Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems Sum Rules and Asymptotic Behaviors for Optical Conductivity of Nonequilibrium Many-Electron Systems

2011-01-08

arxiv.org/abs/1101.1585v3

J. Phys. Soc. Jpn., Vol.80, No.9, p.093706 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, no figures. In v2, the title has been changed to stress that the results hold irrespective of the strength of many-bo

Scientific paper

10.1143/JPSJ.80.093706

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.

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