Revealing non-Markovian Kondo transport with waiting time distributions

• URL: http://arxiv.org/abs/2410.01717v2
• Date: Mon, 7 Oct 2024 07:08:55 GMT
• Title: Revealing non-Markovian Kondo transport with waiting time distributions
• Authors: Feng-Jui Chan, Po-Chen Kuo, Neill Lambert, Mauro Cirio, Yueh-Nan Chen,
• Abstract summary: We investigate non-Markovian transport dynamics and signatures of the Kondo effect in a single impurity Anderson model. We calculate the waiting time distribution (WTD) of electrons tunneling into a detector using a combination of the hierarchical equations of motion approach (HEOM) and a dressed master equation. Our results demonstrate that WTD oscillations offer a valuable tool for probing non-Markovian system-bath interactions.
• Score: 0.7323373755126117
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate non-Markovian transport dynamics and signatures of the Kondo effect in a single impurity Anderson model. The model consists of a quantum dot (QD) with ultra-strong coupling to a left lead and weak coupling to a right lead acting as a detector. We calculate the waiting time distribution (WTD) of electrons tunneling into the detector using a combination of the hierarchical equations of motion approach (HEOM) and a dressed master equation. Oscillations emerge in the short-time WTD, becoming more pronounced with stronger left-lead coupling. Fourier analysis reveals a blue shift in the oscillation frequency as coupling increases, indicating enhanced system-bath hybridization. Crucially, comparison with a dressed master equation confirms that these oscillations are a direct consequence of non-Markovian system-bath correlations. We examine the Kondo effect's influence on these oscillations by varying the quantum dot's Coulomb repulsion. Increasing this interaction enhances the WTD oscillations, coinciding with the signatures of a strengthened Kondo resonance in the quantum dot's density of states. Our results demonstrate that WTD oscillations offer a valuable tool for probing non-Markovian system-bath interactions and the emergence of Kondo correlations within quantum dot systems.

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