Long transient dynamics in the Anderson-Holstein model out of equilibrium

Abstract

We calculate the time dependent nonequilibrium current through a single level quantum dot strongly coupled to a vibrational mode. The nonequilibrium real time dynamics caused by an instantaneous coupling of the leads to the quantum dot is discussed using an approximate method. The approach, which is specially designed for the strong polaronic regime, is based on the so-called polaron tunneling approximation. Considering different initial dot occupations, we show that a common steady state is reached after times much larger than the typical electron tunneling times due to a polaron blocking effect in the dot charge. A direct comparison is made with numerically exact data, showing good agreement for the time scales accessible by the diagrammatic Monte Carlo simulation method.

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• Transient dynamics and waiting time distribution of molecular junctions in the polaronic regime
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
• Time-linear quantum transport simulations with correlated nonequilibrium Green's functions
• Dressed tunneling approximation for electronic transport through molecular transistors
• Phonon dynamics in correlated quantum systems driven away from equilibrium
• Functional renormalization group study of the Anderson--Holstein model
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