We show that quantum electromagnetic transitions to high orders are essential to describe the time-dependent path of a nanoscale electron system in a Coulomb blockage regime when coupled to external leads and placed in a three-dimensional rectangular photon cavity. The electronic system consists of two quantum dots embedded asymmetrically in a short quantum wire. The two lowest in energy spin degenerate electron states are mostly localized in each dot with only a tiny probability in the other dot. In the presence of the leads we identify a slow high order transition between the ground states of the two quantum dots. The Fourier power spectrum for photon-photon correlations in the steady state shows a Fano-type of a resonance for the frequency of the slow transition. Full account is taken of the geometry of the multi-level electronic system, and the electron-electron Coulomb interactions together with the para- and diamagnetic electron-photon interactions are treated with step wise exact numerical diagonalization and truncation of appropriate many-body Fock spaces. The matrix elements for all interactions are computed analytically or numerically exactly.
@article{arxiv.1905.10883,
title = {Cavity-photon induced high order transitions between ground states of quantum dots},
author = {Vidar Gudmundsson and Nzar Rauf Abdullah and Chi-Shung Tang and Andrei Manolescu and Valeriu Moldoveanu},
journal= {arXiv preprint arXiv:1905.10883},
year = {2019}
}
Comments
RevTeX - pdflatex, 10 pages with 11 included pdf-figures