Fermi-edge problem in the presence of AC electric field

TL;DR

This paper investigates the non-equilibrium Fermi-edge problem under an AC electric field, providing exact solutions for Green's functions and analyzing the system's qualitative behavior compared to multi-reservoir setups.

Contribution

It presents an exact analytical solution for the electron Green's function in a non-equilibrium Fermi-edge problem with an AC electric field, a novel approach in this context.

Findings

Exact integral expression for Green's function and correlation functions.

Qualitative analysis of system behavior under AC field.

Comparison with multi-reservoir scenarios.

Abstract

We study in this paper a non-equilibrium Fermi-edge problem where the system under investigation is a single electron reservoir putting 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 reservoirs at different chemical potentials.