Electronic states and dielectric response of a two-dimensional electron gas in a strong magnetic field and an intense laser field

Abstract

We have developed new theoretical and numerical methods to study electronic properties and dielectric response of an electron gas strongly coupled to a terahertz laser field and under a quantising magnetic field. By constructing successive unitary transformations, we have solved the time-dependent Schrödinger equation and obtained analytical solutions of the electronic wavefunction. These wavefunctions are then used to construct to electronic Green's function, density–density correlation function and the dielectric response function in time and spectral representations. Our results can be the basis for studying several other important quantities related to the experiments such as optical absorption, spectrum of magneto-polarizations and cyclotron resonances in strongly coupled electron–photon systems. Numerical results of energy loss rate of a heavy particle based on this dielectric function are presented.