Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach

TL;DR

This paper presents a novel method combining dynamical mean-field theory with an auxiliary quantum master equation to compute steady-state properties of strongly correlated systems out of equilibrium, enabling detailed analysis of non-equilibrium quantum phenomena.

Contribution

The paper introduces a new non-equilibrium DMFT approach using an auxiliary Lindblad equation solved by full diagonalization, extending exact-diagonalization DMFT to non-equilibrium scenarios.

Findings

Successfully computed steady-state current in Hubbard layer

Analyzed non-equilibrium density of states

Demonstrated method's applicability to strongly correlated systems

Abstract

We introduce a versatile method to compute electronic steady state properties of strongly correlated extended quantum systems out of equilibrium. The approach is based on dynamical mean-field theory (DMFT), in which the original system is mapped onto an auxiliary non-equilibrium impurity problem imbedded in a Markovian environment. The steady state Green's function of the auxiliary system is solved by full diagonalization of the corresponding Lindblad equation. The approach can be regarded as the nontrivial extension of the exact-diagonalization based DMFT to the non-equilibrium case. As a first application, we consider an interacting Hubbard layer attached to two metallic leads and present results for the steady-state current and the non-equilibrium density of states.