Current correlations for the transport of interacting electrons through parallel quantum dots in a photon cavity
Vidar Gudmundsson, Nzar Rauf Abdullah, Anna Sitek, Hsi-Sheng Goan,, Chi-Shung Tang, and Andrei Manolescu

TL;DR
This paper investigates electron transport in parallel quantum dots within a photon cavity, analyzing current correlations and identifying radiative and non-radiative transitions, revealing signs of Rabi oscillations.
Contribution
It introduces a detailed computational scheme to analyze current correlations in interacting quantum dot systems coupled to a photon cavity, including Coulomb and electron-photon interactions.
Findings
Identification of all active transitions in current correlations
Observation of strong signs of Rabi oscillations
Analysis of radiative and non-radiative processes
Abstract
We calculate the current correlations for the steady-state electron transport through multi-level parallel quantum dots embedded in a short quantum wire, that is placed in a non-perfect photon cavity. We account for the electron-electron Coulomb interaction, and the para- and diamagnetic electron-photon interactions with a stepwise scheme of configuration interactions and truncation of the many-body Fock spaces. In the spectral density of the temporal current-current correlations we identify all the transitions, radiative and non-radiative, active in the system in order to maintain the steady state. We observe strong signs of two types of Rabi oscillations.
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