Shot noise in the self-dual Interacting Resonant Level Model

TL;DR

This paper presents exact calculations of shot noise in the self-dual Interacting Resonant Level Model using two complementary methods, providing insights into out-of-equilibrium quantum impurity systems.

Contribution

It introduces an analytical Thermodynamical Bethe Ansatz approach and validates it with a time-dependent DMRG method for the self-dual Interacting Resonant Level Model.

Findings

Exact shot noise results obtained at the self-dual point.

Thermodynamical Bethe Ansatz accurately computes the density matrix under bias.

Time-dependent DMRG confirms the analytical results.

Abstract

By using two independent and complementary approaches, we compute exactly the shot noise in an out-of-equilibrium interacting impurity model, the Interacting Resonant Level model at its self-dual point. An analytical approach based on the Thermodynamical Bethe Ansatz allows to obtain the density matrix in the presence of a bias voltage, which in turn allows for the computation of any observable. A time-dependent Density Matrix Renormalization Group technique, that has proven to yield the correct result for a free model (the Resonant Level Model) is shown to be in perfect agreement with the former method.