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.

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

References in corpus (4)

• Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
• General properties of response functions of nonequilibrium steady states
• Universal Properties of Nonlinear Response Functions of Nonequilibrium Steady States
• Sum rule for response function in nonequilibrium Langevin systems

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• On the general properties of non-linear optical conductivities
• Photoinduced correlated electron dynamics in a two-leg ladder Hubbard system
• Thermalization after photoexcitation from the perspective of optical spectroscopy
• Optical spin conductivity in ultracold quantum gases
• Ultrafast zero balance of the oscillator-strength sum rule in graphene
• Low-energy photoexcitations inside the Mott gap in doped Hubbard and t-J ladders