Quantum dot lattice as nano-antenna for collective spontaneous emission

S. Mokhlespour, J.E.M. Haverkort, G.Y. Slepyan, S.A. Maksimenko, A. Hoffmann

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

2 Citations (Scopus)


We present a theory for the collective spontaneous emission of timed Dicke states in a periodic 2D-array of quantum dots (QDs) coupled by dipoledipole (d-d) interactions. The master equation is first reformulated with respect to the timed Dicke basis. As a result, we obtain simple analytical relations for the spontaneous decay rate, collective Lamb shift and radiative pattern. The collective spontaneous emission in QD-array manifests itself in strong directivity, whereby the radiative pattern consists of a set of strong radiative lobes. The direction of the first lobe is dictated by the pumping direction, while the other lobes correspond to diffractive rays due to the periodicity. The influence of d-d interactions on the radiation decay of timed Dicke states in QD arrays is identical to the influence of an environment to single-particle excited states similar to the action of a structured photonic reservoir. For a rectangular 2D-array, the equivalent structured photonic reservoir has a form of a hollow rectangular waveguide with perfectly conductive walls. For lattice periods comparable to the radiation wavelength the decay rate shows sharp peaks due to Van-Hove singularities in the photonic density of states (PDOS) similar to the Purcell effect in photonic crystals. The optical nanoantenna under study allows tuning of the radiation pattern by varying the timing.

Original languageEnglish
Title of host publicationFundamental and Applied Nano-Electromagnetics
EditorsA. Maffucci , S.A. Maksimenko
Place of PublicationDordrecht
Number of pages20
ISBN (Electronic)978-94-017-7478-9
ISBN (Print)978-94-017-7476-5
Publication statusPublished - 2016
EventFundamental and Applied NanoElectroMagnetics (FANEM 2015), May 25-27, 2015, Minsk, Belarus - Belarusian State University, Minsk, Belarus
Duration: 25 May 201527 May 2015

Publication series

NameNATO Science for Peace and Security Series B: Physics and Biophysics
ISSN (Print)18746500


WorkshopFundamental and Applied NanoElectroMagnetics (FANEM 2015), May 25-27, 2015, Minsk, Belarus
Abbreviated titleFANEM 2015
OtherA NATO Advanced Research Workshop
Internet address


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