Acoustic and optical phonon scattering in a single In(Ga)As quantum dot

Stock, E.; Dachner, Matthias‐René; Warming, T.; Schliwa, A.; Lochmann, A.; Hoffmann, A.; Toropov, A. I.; Bakarov, A. K.; Деребезов, И. А.; Richter, Marten; Haisler, V. A.; Knorr, Andreas; Bimberg, D.

doi:10.1103/physrevb.83.041304

Cited by 64 publications

(71 citation statements)

References 38 publications

(41 reference statements)

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“…If we compare the structure of the phonon scattering term, Eq. (27), with the nonphonon-related terms in the coherent and Lindblad contributions to M, a physical interpretation of the effects of phonons becomes apparent.…”

Section: -4mentioning

confidence: 99%

Microscopic theory of phonon-induced effects on semiconductor quantum dot decay dynamics in cavity QED

et al. 2012

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We investigate the influence of the electron-phonon interaction on the decay dynamics of a quantum dot coupled to an optical microcavity. We show that the electron-phonon interaction has important consequences on the dynamics, especially when the quantum dot and cavity are tuned out of resonance, in which case the phonons may add or remove energy leading to an effective nonresonant coupling between quantum dot and cavity. The system is investigated using two different theoretical approaches: (i) a second-order expansion in the bare phonon coupling constant, and (ii) an expansion in a polaron-photon coupling constant, arising from the polaron transformation which allows an accurate description at high temperatures. In the low temperature regime we find excellent agreement between the two approaches. An extensive study of the quantum dot decay dynamics is performed, where important parameter dependencies are covered. We find that in general the electron-phonon interaction gives rise to a greatly increased bandwidth of the coupling between quantum dot and cavity. At low temperature an asymmetry in the quantum dot decay rate is observed, leading to a faster decay when the quantum dot has a larger energy than to the cavity. We explain this as due to the absence of phonon absorption processes. Furthermore, we derive approximate analytical expressions for the quantum dot decay rate, applicable when the cavity can be adiabatically eliminated. The expressions lead to a clear interpretation of the physics and emphasizes the important role played by the effective phonon density, describing the availability of phonons for scattering, in quantum dot decay dynamics. Based on the analytical expressions we present the parameter regimes where phonon effects are expected to be important. Also, we include all technical developments in appendices.

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Section: -4mentioning

confidence: 99%

Microscopic theory of phonon-induced effects on semiconductor quantum dot decay dynamics in cavity QED

et al. 2012

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“…For selforganized quantum dots with sizes of 20nm and interdot distances around 40nm, the dipole coupling is about several µeV with a Lorentzian zero phonon line (ZPL) width of γ = 1µeV at low temperatures (e.g. T = 4K) 38,39 . We neglected the influence of the phonon side bands, since their amplitude in the spectra is one to two orders smaller than the amplitude of the zero phonon line resonance at low temperatures 38,39 .…”

Section: Excitons In Coupled Nanostructuresmentioning

confidence: 99%

“…T = 4K) 38,39 . We neglected the influence of the phonon side bands, since their amplitude in the spectra is one to two orders smaller than the amplitude of the zero phonon line resonance at low temperatures 38,39 .…”

Section: Excitons In Coupled Nanostructuresmentioning

confidence: 99%

Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique

et al. 2012

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We show how coherent, spatially resolved spectroscopy can disentangle complex hybrid wave functions into wave functions of the individual emitters. This way, detailed information on the coupling of the individual emitters, not available in far-field spectroscopy, can be revealed. Here we propose a quantum state tomography protocol that relies on the ability to selectively excite each emitter individually by spatially localized pulses. Simulations of coupled semiconductor GaAs/InAs quantum dots using light fields available in current nanoplasmonics show, that undesired resonances can be removed from measured spectra. The method can be applied on a broad range of coupled emitters to study the internal coupling, including pigments in photosynthesis and artificial light harvesting.

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“…It should be noticed that we assume bulk phonon modes [33,48,49,28,45,50]. The LA phonon dispersion relation is assumed to be linear in the relevant energy range, hence ω k = c s |k|, with c s being the speed of sound, and finally b † k , b k are the bosonic operators for the phonons.…”

Section: Phononsmentioning

confidence: 99%

“…The polaron transformed Hamiltonian is given bȳ 50) where the individual terms are defined in eq. (3.14).…”

Section: Polaron Framementioning

confidence: 99%

Fundamental Properties

2009

Grundlehren Der Mathematischen Wissenschaften

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This thesis reports a theoretical investigation of the influence of the electronphonon interaction on semiconductor cavity quantum electrodynamical systems, specifically a quantum dot coupled to an optical microcavity.We develop a theoretical description of the decay dynamics of the quantum dot interacting with the cavity and the phonons. It is shown that the presence of the phonon interaction, fundamentally changes the spontaneous emission decay behavior of the quantum dot. Especially in the regime where the quantum dotcavity spectral detuning is significantly larger than any linewidth of the system, the effect of the phonon interaction is very pronounced. A simple approximate analytical expression for the quantum dot decay rate is derived, which predicts a strong asymmetry with respect to the quantum dot-cavity detuning at low temperatures, and allows for a clear interpretation of the physics.Furthermore, a study of the indistinguishability of single photons emitted from the coupled quantum dot-cavity system is performed, with special emphasis on non-Markovian decoherence due to the phonon interaction. We show that common theoretical approaches fail to predict the degree of indistinguishability, on both a qualitative and quantitative level, for experimentally relevant parameters regimes. The important role of non-Markovian effects in the shorttime regime, where virtual processes dominate the decoherence of the quantum dot-cavity system, is emphasized. Importantly, our investigations lead to a maximum achievable degree of indistinguishability, a prediction which eludes common approaches.iii ResuméDenne afhandling rapporterer en teoretisk undersøgelse af indflydelsen af elektronfonon vekselvirkningen på halvleder kavitet kvanteelektrodynamiske systemer, specifikt en kvanteprik koblet til en optisk mikrokavitet.Vi udvikler en teoretisk beskrivelse af henfaldsdynamikken af kvanteprikken der vekselvirker med kaviteten og med fononerne. Det bliver vist at tilstedevaerelsen af fononvekselvirkningen, fundamentalt aendrer opførslen af spontan henfald af kvanteprikken. Specielt i regimet hvor kvanteprik og kavitet er ude af resonans, med en vaerdi vaesentligt større end nogen linjebredde i systemet, er effekten af fononvekselvirkningen meget udtalt. Et simpelt approksimativt analytisk udtryk for kvanteprikkens henfaldsrate bliver udledt, som ved lave temperaturer forudsiger en staerk asymmetri afhaengig af om kvanteprikken og kaviteten er ude af resonans, og som tillader en klar fortolkning af fysikken.Et studie af uskelneligheden af enkelt fotoner udsendt fra det koblede kvanteprikkavitet system bliver endvidere udført, med specielt fokus på ikke-Markovisk dekohaerens på grund af vekselvirkningen med fononer. Vi viser at standard teoretiske tilgange fejler i at forudsige graden af uskelnelighed, på både et kvalitativt og kvantitativt niveau, for eksperimentelt relevante parameter regimer. Den vigtige rolle af ikke-Markoviske effekter i kort-tids regimet, hvor virtuelle processer dominerer tabet af kohaerens i k...

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Acoustic and optical phonon scattering in a single In(Ga)As quantum dot

Cited by 64 publications

References 38 publications

Microscopic theory of phonon-induced effects on semiconductor quantum dot decay dynamics in cavity QED

Microscopic theory of phonon-induced effects on semiconductor quantum dot decay dynamics in cavity QED

Reconstruction of the wave functions of coupled nanoscopic emitters using a coherent optical technique

Fundamental Properties

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