Buildup of Fano resonances in the time domain in a double quantum dot Aharonov-Bohm interferometer

TL;DR

This study explores the time-dependent development of Fano resonances in a double quantum dot Aharonov-Bohm interferometer, revealing how quantum interference effects evolve dynamically in nanoscale transport.

Contribution

It provides a detailed analysis of the transient quantum transport and the buildup of Fano resonances in a double quantum dot system within an AB interferometer, including derivation of transient conductance.

Findings

Fano resonances develop dynamically in the time domain.

Transient conductance is influenced by multiple transport channels.

Time evolution of the density matrix reveals the buildup process.

Abstract

In this paper, we investigate transient quantum transport in a nanoscale Aharonov-Bohm (AB) interferometer consisting of a laterally coupled double quantum dot (DQD) coupled to the source and drain electrodes. The transient linear conductance is derived at finite temperature of the leads, and is divided into three terms contributed from different transport channels. By observing the transient linear conductance and time evolution of the elements of the reduced density matrix of the DQD system, we show the nature of how Fano resonance is built up in the time domain.