Fermi Edge Singularity in Quantum Hall Systems far from Equilibrium
Eugene Sukhorukov (Geneva University)
We study non-equilibrium one dimensional physics on an example of a minimal setup inspired by the recent experiment based around a Mach-Zender interferometer composed of quantum Hall edge channels at integer filling factor, one of which is in Coulomb interaction with an artificial impurity. The fluctuations of the impurity charge due to the tunneling transitions lead to resonant suppression of coherence on the channel and of the visibility of the interference pattern. We consider the regime where the transitions are induced by the non-equilibrium partitioning noise created in the interferometer itself by the beam splitter, and describe the strong effects of both the orthogonality catastrophe and the non-equilibrium noise, that are revealed in the shape of the transition rates, in the asymmetry of the visibility dip and in the non-trivial dependence of the dip position on the transparency