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Spontaneous emission from large quantum dots in nanostructures: Exciton-photon interaction beyond the dipole approximation

2011/12/08 by Søren Stobbe, Philip T. Kristensen, Philip Trøst Kristensen +6 · 1 citation
Engineering · Physics and Astronomy · #Biexciton #Condensed matter physics #Dipole #Discrete dipole approximation #Exciton #Photon #Photonic Crystals and Applications #Photonic and Optical Devices #Photonics #Physics #Quantum #Quantum dot #Quantum electrodynamics #Quantum mechanics #Radiative transfer #Semiconductor Quantum Structures and Devices #Spontaneous emission #cond-mat.mes-hall #physics.optics

paper · pdf · doi:10.1103/physrevb.86.085304

published as Phys. Rev. B 86, 085304 (2012) · 14 pages, 4 figures

arxiv created 2011/12/08 · openalex publication_date 2012/08/08 · arxiv updated 2012/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We derive a rigorous theory of the interaction between photons and spatially extended excitons confined in quantum dots in inhomogeneous photonic materials. We show that beyond the dipole approximation, the radiative decay rate is proportional to a nonlocal interaction function, which describes the interaction between light and spatially extended excitons. In this regime, light and matter degrees of freedom cannot be separated and a complex interplay between the nanostructured optical environment and the exciton envelope function emerges. We illustrate this by specific examples and derive a series of important analytical relations, which are useful for applying the formalism to practical problems. In the dipole limit, the decay rate is proportional to the projected local density of optical states, and we obtain the strong and weak confinement regimes as special cases.

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