Probing interactions via nonequilibrium momentum distribution and noise in integer quantum Hall systems at ν=2

We consider the excitation of single-electron wave packets by means of a time-dependent voltage applied to the ballistic edge channels of the integer quantum Hall effect at filling factor ν=2. Due to electron-electron interactions, fractional excitations emerge along the edge. Their detailed structure is analyzed by evaluating the nonequilibrium momentum distributions associated with the different edge channels. We provide results for a generic time-dependent drive both in the stationary regime and for intermediate times, where the overlap between fractionalized wave packets carries relevant information on interaction strength. As a particular example we focus on a Lorentzian drive, which provides a clear signature of the minimal excitations known as Levitons. Here we argue that inner-channel fractionalized excitations can be exploited to extract information about interchannel interactions. We further confirm this idea by calculating the zero frequency noise due to the partitioning of these excitations at a quantum point contact and we propose a measurable quantity as a tool to directly probe electron-electron interactions and determine the so-called mixing angle of copropagating quantum Hall channels.