Cavity-Photon-Induced High-Order Transitions between Ground States of Quantum Dots

Vidar Gudmundsson; Nzar Rauf Abdullah; Chi Shung Tang; Andrei Manolescu; Valeriu Moldoveanu

doi:10.1002/andp.201900306

Cavity-Photon-Induced High-Order Transitions between Ground States of Quantum Dots

Vidar Gudmundsson^*, Nzar Rauf Abdullah, Chi Shung Tang, Andrei Manolescu, Valeriu Moldoveanu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

It is shown that quantum electromagnetic transitions to high orders are essential to describe the time-dependent path of a nanoscale electron system in a Coulomb blockade regime when coupled to external leads and placed in a 3D 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, a slow high-order transition between the ground states of the two quantum dots is identified. The Fourier power spectrum for photon–photon correlations in the steady state shows a Fano type of resonance for the frequency of the slow transition. Full account is taken of the geometry of the multilevel 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.

Original language	English
Article number	1900306
Journal	Annalen der Physik
Volume	531
Issue number	11
DOIs	https://doi.org/10.1002/andp.201900306
Publication status	Published - 1 Nov 2019

Bibliographical note

Funding Information:
This work was financially supported by the Research Fund of the University of Iceland, the Icelandic Research Fund, grant no. 163082‐051, and the Icelandic Instruments Fund. The computations were performed on resources provided by the Icelandic High Performance Computing Centre at the University of Iceland. V.M. acknowledges financial support from CNCS ‐ UEFISCDI grant PN‐III‐P4‐ID‐PCE‐2016‐0084, and from the Romanian Core Program PN19‐03 (contract no. 21 N/08.02.2019).

Funding Information:
This work was financially supported by the Research Fund of the University of Iceland, the Icelandic Research Fund, grant no. 163082-051, and the Icelandic Instruments Fund. The computations were performed on resources provided by the Icelandic High Performance Computing Centre at the University of Iceland. V.M. acknowledges financial support from CNCS - UEFISCDI grant PN-III-P4-ID-PCE-2016-0084, and from the Romanian Core Program PN19-03 (contract no. 21 N/08.02.2019).

Publisher Copyright:
© 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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10.1002/andp.201900306

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title = "Cavity-Photon-Induced High-Order Transitions between Ground States of Quantum Dots",

abstract = "It is shown that quantum electromagnetic transitions to high orders are essential to describe the time-dependent path of a nanoscale electron system in a Coulomb blockade regime when coupled to external leads and placed in a 3D 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, a slow high-order transition between the ground states of the two quantum dots is identified. The Fourier power spectrum for photon–photon correlations in the steady state shows a Fano type of resonance for the frequency of the slow transition. Full account is taken of the geometry of the multilevel 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.",

author = "Vidar Gudmundsson and Abdullah, {Nzar Rauf} and Tang, {Chi Shung} and Andrei Manolescu and Valeriu Moldoveanu",

note = "Funding Information: This work was financially supported by the Research Fund of the University of Iceland, the Icelandic Research Fund, grant no. 163082‐051, and the Icelandic Instruments Fund. The computations were performed on resources provided by the Icelandic High Performance Computing Centre at the University of Iceland. V.M. acknowledges financial support from CNCS ‐ UEFISCDI grant PN‐III‐P4‐ID‐PCE‐2016‐0084, and from the Romanian Core Program PN19‐03 (contract no. 21 N/08.02.2019). Funding Information: This work was financially supported by the Research Fund of the University of Iceland, the Icelandic Research Fund, grant no. 163082-051, and the Icelandic Instruments Fund. The computations were performed on resources provided by the Icelandic High Performance Computing Centre at the University of Iceland. V.M. acknowledges financial support from CNCS - UEFISCDI grant PN-III-P4-ID-PCE-2016-0084, and from the Romanian Core Program PN19-03 (contract no. 21 N/08.02.2019). Publisher Copyright: {\textcopyright} 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",

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Cavity-Photon-Induced High-Order Transitions between Ground States of Quantum Dots

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