From thermal equilibrium to nonequilibrium quench dynamics: A conserving approximation for the interacting resonant level

Abstract

We develop a low-order conserving approximation for the interacting resonant-level model (IRLM), and apply it to (i) thermal equilibrium, (ii) nonequilibrium steady state, and (iii) nonequilibrium quench dynamics. Thermal equilibrium is first used to carefully gauge the quality of the approximation by comparing the results with other well-studied methods, and finding good agreement for small values of the interaction. We analytically show that the power-law exponent of the renormalized level width usually derived using renormalization group approaches can also be correctly obtained in our approach in the weak interaction limit. A closed expression for the nonequilibrium steady-state current is derived and analytically and numerically evaluated. We find a negative differential conductance at large voltages, and the exponent of the power-law suppression of the steady-state current is calculated analytically at zero-temperature. The response of the system to quenches is investigated for a single-lead as well as for two-lead setup at finite voltage bias at particle-hole symmetry using a self-consistent two-times Keldysh Green function approach, and results are presented for the time-dependent current for different bias and contact interaction strength.

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Cited by in corpus (12)

• Out-of-equilibrium dynamics in a quantum impurity model: numerics for particle transport and entanglement entropy
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Exact equilibrium results in the Interacting Resonant Level Model
• Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
• Self--averaging of random quantum dynamics
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Efficient impurity-bath trial states from superposed Slater determinants
• Realizing the interacting resonant level model using a quantum dot detector
• Non-equilibrium transport through a model quantum dot: Hartree-Fock approximation and beyond
• Non-equilibrium Green's functions and their relation to the negative differential conductance in the interacting resonant level model
• Ballistic Entanglement Cloud after a Boundary Quench
• On the difference between thermalization in open and isolated quantum systems: a case study