Nonequilibrium Transport in Quantum Impurity Models (Bethe-Ansatz for open systems)

TL;DR

This paper introduces a non-perturbative framework using a generalized Bethe-Ansatz to compute steady-state properties of quantum impurity systems under finite bias, providing exact solutions for nonequilibrium conditions.

Contribution

It develops the Nonequilibrium Bethe-Ansatz (NEBA) to explicitly construct scattering eigenstates and derive exact steady-state results for quantum impurity models.

Findings

Exact steady-state properties derived for the Interacting Resonance Level model.

Introduction of NEBA as a tool for nonequilibrium quantum impurity systems.

Nonperturbative solutions for quantum transport under bias.

Abstract

We develop an exact non-perturbative framework to compute steady-state properties of quantum-impurities subject to a finite bias. We show that the steady-state physics of these systems is captured by nonequilibrium scattering eigenstates which satisfy an appropriate Lippman-Schwinger equation. Introducing a generalization of the equilibrium Bethe-Ansatz - the Nonequilibrium Bethe-Ansatz (NEBA), we explicitly construct the scattering eigenstates for the Interacting Resonance Level model and derive exact, nonperturbative results for the steady-state properties of the system.