Auxiliary master equation for nonequilibrium dual-fermion approach

Abstract

We introduce auxiliary quantum master equation - dual fermion approach (QME-DF) and argue that it presents a convenient way to describe steady-states of correlated impurity systems. The combined scheme yields an expansion around a reference much closer to the true nonequilibrium state than in the original dual fermion formulation. In steady-state situations, the scheme is numerically cheaper and allows to avoid long time propagation of previous considerations. Anderson impurity is used as a test model. The QME-DF simulations are compared with numerically exact tdDMRG results.

8 pages, 4 figures

References in corpus (17)

• The density-matrix renormalization group in the age of matrix product states
• Mechanical Control of Spin States in Spin-1 Molecules and the Underscreened Kondo Effect
• Inelastic transport theory from first-principles: methodology and applications for nanoscale devices
• On steady-state currents through nano-devices: a scattering-states numerical renormalization group approach to open quantum systems
• Kinetic Equations for Transport Through Single-Molecule Transistors
• Nonequilibrium Dynamical Mean Field Theory: an auxiliary Quantum Master Equation approach
• Kondo resonances and anomalous gate dependence of electronic conduction in single-molecule transistors
• Electronic excitations of a single molecule contacted in a three-terminal configuration
• Matrix Product State applications for the ALPS project
• Numerically exact full counting statistics of the nonequilibrium Anderson impurity model
• Vibrational Excitations in Weakly Coupled Single-Molecule Junctions: A Computational Analysis
• Currents and Green's functions of impurities out of equilibrium -- results from inchworm Quantum Monte Carlo
• Superperturbation solver for quantum impurity models
• Inelastic shot noise characteristics of nanoscale junctions from first principles
• A multilayer multiconfiguration time-dependent Hartree study of the nonequilibrium Anderson impurity model at zero temperature
• Towards Noise Simulation in Interacting Nonequilibrium Systems Strongly Coupled to Baths
• Nonequilibrium diagrammatic technique for Hubbard Green functions

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