Fermi-edge problem in the presence of AC electric field

In this paper, we study a non-equilibrium Fermi-edge problem where the system under investigation is a single electron reservoir put under an AC electric field. We show that the electron Green's function and other correlation functions in the problem can be solved and expressed exactly in terms of a well-defined integral. The qualitative behaviors of the solution is studied and compared with the situation where the impurity is coupled to more than one reservoir at different chemical potentials. Copyright (C) EPLA, 2009