Phonon-Dressed Mollow Triplet in the Regime of Cavity Quantum Electrodynamics: Excitation-Induced Dephasing and Nonperturbative Cavity Feeding Effects

Roy, C.; Hughes, Stephen

doi:10.1103/physrevlett.106.247403

Cited by 164 publications

(240 citation statements)

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“…Consequently, for moderate carrier phonon coupling strengths the phonons essentially lead to a thermalization dynamics in the dressed state basis [135] which is often well represented by a Markovian rate equation. A more detailed analysis based on master equations accounting for the phonon-induced memory reveals that the simple Markovian treatment comes to its limit, e.g., when phonon-induced renormalizations of the Rabi frequency become important: for stronger carrier-phonon coupling the stable quasiparticles assume a polaronic character, which can be used to formulate more advanced master equation approaches that rely on polaron transformations [64,127,88].…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…Most often, these methods fully account for the dotlight coupling but treat the exciton-phonon interaction within further approximations. Examples of such approaches are the time-convolutionless approach [116,120,121], the correlation expansion [122,123,124,125,126], different types of master equations [116,53,64,127,88,128,93] or time-dependent perturbation theory [129,125]. For the Hamiltonian dynamics within the model established by Eqs.…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…In the case of strong light-matter coupling there is a strong interplay between exciton-phonon and light-matter interaction, which for example can be seen in the line-width broadening in the Mollow-Triplet [180,102]. The combined exciton-photon and exciton-phonon interaction in the strong coupling regime has been subject to many theoretical works [181,58,87,90,95,88,89,128,182,91]. A detailed discussion of the phenomena related to the interplay between these coupling mechanisms is beyond the scope of this review.…”

Section: Rabi Rotationsmentioning

confidence: 99%

“…Also for dots in cavities phonons can play a decisive role, e.g., for the dephasing [87,88,89,90,91], the photon statistics [92,58,93,94], the indistinguishability of photons [95] as well as for providing a dot-cavity coupling in the case of non-resonant QD and cavity modes where phenomena like off-resonant cavity feeding have been found [96,82,97,98,99,100,101,102]. Although such systems are not at the focus of the present review, we note in passing that in this case, additional relaxation mechanisms, in particular cavity losses, may become of importance.…”

Section: Quantum Dot Modelmentioning

confidence: 99%

See 3 more Smart Citations

The role of phonons for exciton and biexciton generation in an optically driven quantum dot

Reiter

Kuhn

Glässl

et al. 2014

J. Phys.: Condens. Matter

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Abstract. For many applications of semiconductor quantum dots in quantum technology a well controlled state preparation of the quantum dot states is mandatory. Since quantum dots are embedded in the semiconductor matrix, the interaction with phonons plays often a major role in the preparation process. In this review, we discuss the influence of phonons on three basically different optical excitation schemes which can be used for the preparation of exciton, biexciton, and superposition states: a resonant excitation leading to Rabi rotations in the excitonic system, an excitation with chirped pulses exploiting the effect of adiabatic rapid passage, and an off-resonant excitation giving rise to a phononassisted state preparation. We give an overview over experimental and theoretical results showing the role of the phonons and compare the performance of the schemes for state preparation.

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Section: Theoretical Methodsmentioning

confidence: 99%

Section: Theoretical Methodsmentioning

confidence: 99%

Section: Rabi Rotationsmentioning

confidence: 99%

Section: Quantum Dot Modelmentioning

confidence: 99%

See 2 more Smart Citations

The role of phonons for exciton and biexciton generation in an optically driven quantum dot

Reiter

Kuhn

Glässl

et al. 2014

J. Phys.: Condens. Matter

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“…This allows the dominant non-perturbative non-Markovian phonon influence to be included, and permits us to derive analytic expressions in relevant regimes which elucidate the interplay between the Purcell and Franck-Condon factors, and trade-offs between efficiency and indistinguishability. Full details of the polaron transformation are given in the Supplementary information, though the central idea is to apply a displacement to the phonon mode operators dependent on the QD state, b k → b k − |X X| g k /ν k , as this removes the original exciton-phonon coupling from the Hamiltonian 23,38,[42][43][44] . Unitarity of the mode displacement means that the QD states must transform as |0 → |0 and |X → B + |X with…”

Section: Phonon Interactions In Optically Active Qdsmentioning

confidence: 99%

Imaginary echoes

Horiuchi¹

2017

Nature Photon

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Semiconductor quantum dots have recently emerged as a leading platform to efficiently generate highly indistinguishable photons, and this work addresses the timely question of how good these solid-state sources can ultimately be. We establish the crucial role of lattice relaxation in these systems in giving rise to trade-offs between indistinguishability and efficiency. We analyse the two source architectures most commonly employed: a quantum dot embedded in a waveguide and a quantum dot coupled to an optical cavity. For waveguides, we demonstrate that the broadband Purcell effect results in a simple inverse relationship, where indistinguishability and efficiency cannot be simultaneously increased. For cavities, the frequency selectivity of the Purcell enhancement results in a more subtle trade-off, where indistinguishability and efficiency can be simultaneously increased, though by the same mechanism not arbitrarily, limiting a source with near-unity indistinguishability (> 99%) to an efficiency of approximately 96% for realistic parameters.The efficient generation of on-demand highly indistinguishable photons remains a barrier to the scalability of a number of photonic quantum technologies 1-4 . To this end, attention has recently turned towards solid-state systems, and in particular semiconductor quantum dots (QDs) 5-13 , which can not only emit a single photon with high quantum efficiency, but can be easily integrated into larger photonic structures 14 , resulting in photons being emitted into a well-defined mode and direction. Highly directional emission is crucial to the overall efficiency of the source, and is typically achieved by either placing the QD in a waveguide with low out-of-plane scattering 15,16 , or by coupling resonantly to an optical cavity mode 6-9,12,13 . Nevertheless, the solid-state nature of QDs leads to strong coupling between the electronic degrees of freedom and their local environment; fluctuating charges 17 , nuclear spins 18,19 , and lattice vibrations 20-23 all lead to a suppression of photon coherence and a resulting reduction in indistinguishability 11,[24][25][26][27] . While early experiments were indeed limited by these factors 6-9 , improvements in fabrication and resonant excitation techniques have steadily increased photon indistinguishability to levels now exceeding 99% in resonantly coupled QD-cavity systems 12,13 . Photon extraction efficiencies have also steady improved, with the highest values reaching 98% in a photonic crystal waveguide 16 .Despite this impressive progress, a system boasting very high (> 99%) indistinguishability and efficiency as required for e.g. cluster state quantum computing 28 remains elusive. Strategies aimed at achieving such a source typically focus on engineering the photonic environment in order to maximise the Purcell effect 29,30 , where the QD emission rate becomes F P Γ, with Γ the bulk emission rate and F P the Purcell factor 29 . Modelling a QD as a simple two-level-system with a Markovian phenomenological dephasing rate γ, the Purc...

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Adiabatic rapid passage in quantum dots: phonon‐assisted decoherence and biexciton generation

Gawarecki

Lüker

Reiter

et al. 2013

Phys. Status Solidi C

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We study the evolution of a quantum dot controlled by a frequency-swept (chirped), linearly polarized laser pulse in the presence of carrier-phonon coupling. The final occupation of the exciton state is limited both due to phonon-induced transitions between the adiabatic spectral branches and because of phonon-assisted transitions to the biexciton state.When the biexciton shift is large enough, the quantum dot can be modeled as a two-level system, which corresponds to excitation with circularly polarized light. For this case, we compare different methods of simulations: (i) a time convolutionless method, (ii) correlation expansion and (iii) path integrals. We show that results obtained from these methods agree perfectly at low temperatures.Copyright line will be provided by the publisher 2 Model We consider a QD modeled as a four-level system driven by a laser pulse with either circular or linear

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Phonon-Dressed Mollow Triplet in the Regime of Cavity Quantum Electrodynamics: Excitation-Induced Dephasing and Nonperturbative Cavity Feeding Effects

Cited by 164 publications

References 29 publications

The role of phonons for exciton and biexciton generation in an optically driven quantum dot

The role of phonons for exciton and biexciton generation in an optically driven quantum dot

Imaginary echoes

Adiabatic rapid passage in quantum dots: phonon‐assisted decoherence and biexciton generation

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