Quantum linear and non-linear density response of electrons

Warm dense matter is the state of matter naturally appearing in interiors of planets and stars. In laboratory warm dense matter is generated by laser heating and shock compression. Warm dense matter is also important as a transient state on the way to ignition in inertial confinement fusion experiments. Density response properties are important for the understanding process in warm dense matter for computation of optical and transport characteristics. In this presentation, I will discuss the theoretical foundations of the linear and non-linear density response theory for warm dense matter. Going beyond theoretical formulations, the calculations based on the KS-DFT method will be presented.