Imaginary-time quantum many-body theory out of equilibrium I: Formal equivalence to Keldysh real-time theory and calculation of static properties

Abstract

We discuss the formal relationship between the real-time Keldysh and imaginary-time theory for nonequilibrium in quantum dot systems. The latter can be reformulated using the recently proposed Matsubara voltage approach. We establish general conditions for correct analytic continuation procedure on physical observables, and apply the technique to the calculation of static quantities in steady-state non-equilibrium for a quantum dot subject to a finite bias voltage and external magnetic field. Limitations of the Matsubara voltage approach are also pointed out.

arXiv comment24 pages, 10 figures

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• Nonequilibrium density matrix for quantum transport: Hershfield approach as a McLennan-Zubarev form of the statistical operator
• Nonequilibrium Thermodynamics and Steady State Density Matrix for Quantum Open Systems
• Nonequilibrium density matrix for simultaneous heat and charge steady-state transport in quantum open systems
• Nonequilibrium distribution functions for quantum transport: universality and approximation for the steady state regime
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• Single impurity Anderson model out of equilibrium: A two-particle semi-analytic approach
• Nonequilibrium fluctuation-dissipation relations for one- and two-particle correlation functions in steady-state quantum transport
• Exact Green's function for a multi-orbital Anderson impurity at high bias voltages
• Imaginary-time quantum many-body theory out of equilibrium II: Analytic continuation of dynamic observables and transport properties