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arXiv:1302.3413 · Optics Letters

Mollow quintuplets from coherently excited quantum dots

Rong-Chun Ge, S. Weiler, A. Ulhaq, S. M. Ulrich, M. Jetter, P. Michler, S. Hughes

Published May 10, 2013• 17 citations
arXivHTMLPDF

Abstract

Charge-neutral excitons in semiconductor quantum dots (QDs) have a small finite energy separation caused by the anisotropic exchange splitting. Coherent excitation of neutral excitons will generally excite both exciton components, unless the excitation is parallel to one of the dipole axes. We present a polaron master equation model to describe two-exciton pumping using a coherent continuous wave pump field in the presence of a realistic anisotropic exchange splitting. We predict a five-peak incoherent spectrum, namely a Mollow quintuplet under general excitation conditions. We experimentally confirm such spectral quintuplets for In(Ga)As QDs and obtain very good agreement with theory.

DOI
10.1364/ol.38.001691

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Charge-neutral excitons in semiconductor quantum dots (QDs) have a small finite energy separation caused by the anisotropic exchange splitting. Coherent excitation of neutral excitons will generally excite both exciton components, unless the excitation is parallel to one of the dipole axes. We present a polaron master equation model to describe two-exciton pumping using a coherent continuous wave pump field in the presence of a realistic anisotropic exchange splitting. We predict a five-peak incoherent spectrum, namely a Mollow quintuplet under general excitation conditions. We experimentally confirm such spectral quintuplets for In(Ga)As QDs and obtain very good agreement with theory.
Charge-neutral excitons in semiconductor quantum dots (QDs) have a small finite energy separation caused by the anisotropic exchange splitting. Coherent excitation of neutral excitons will generally excite both exciton components, unless the excitation is parallel to one of the dipole axes. We present a polaron master equation model to describe two-exciton pumping using a coherent continuous wave pump field in the presence of a realistic anisotropic exchange splitting. We predict a five-peak incoherent spectrum, namely a Mollow quintuplet under general excitation conditions. We experimentally confirm such spectral quintuplets for In(Ga)As QDs and obtain very good agreement with theory.
We present a comprehensive theoretical study of the resonance fluorescence spectra of an coherently-driven quantum dot (QD) placed inside a high-QQQ semiconductor cavity and interacting with an acoustic-phonon bath. We derive a quantum master equation (ME) in the polaron frame, which includes exciton-phonon and exciton-cavity coupling to all orders. This work details and extends the theory used in a recent paper [C. Roy and S. Hughes, Phys. Rev. Lett. 106, 247403 (2011)] to describe the QD Mollow triplet in the regime of semiconductor cavity QED. Here, we introduce two ME forms, Nakajima-Zwanzig and time convolutionless (TC), both to second order in the system--phonon-reservoir perturbation. In the polaron frame, these two ME forms are shown to yield equivalent population dynamics and fluorescence spectra for a continuous wave (cw) driving field. We also demonstrate that a Markov approximation is valid for computing the incoherent scattering processes, and we subsequently exploit the TC ME to explore the resonance fluorescence spectra of an exciton-driven QD. Both cavity-emitted and exciton-emitted spectra are studied, and these are found to have qualitatively different spectral features. Using a coherent driving field, the well-known characteristics of the atomic Mollow triplet are shown to be considerably modified with electron--acoustic-phonon scattering, and we highlight the key effects arising from both cavity coupling and electron-phonon coupling. Regimes of pronounced cavity feeding and anharmonic cavity QED are exemplified, and we find that the cavity coupling depends sensitively on the exciton-cavity detuning and the temperature of the phonon bath. We show how the full width at half maximum (linewidth) of the Mollow-triplet sidebands varies as a function of the square of the Rabi frequency of the cw pump. Phonon-mediated cavity coupling also contributes to the spectral broadening of the Mollow triplet, depending upon the exciton-cavity detuning and the strength of the exciton-cavity coupling rate. Finally, we calculate the fluorescence spectra for off-resonance cw driving and investigate the resulting Mollow-triplet linewidths.
The thesis presents the investigations of the emission properties of the Mollow triplet (resonance fluorescence above emitter saturation) and dephasing effects in semiconductor quantum dots. The investigations of the Mollow triplet emission properties focus on the detuning dependent Mollow triplet emission especially the relative areas and width of the individual Mollow peaks. If both fine-structure components of the exciton are excited a Mollow quintuplet is experimentally observed, which is found to be in agreement with a theoretical model. In addition the indistinguishable photon emission from the individual Mollow sidebands is verified. The investigations on dephasing effects focus on the phonon-assisted incoherent excitation of a quantum dot and a comprehensive study of the emission properties under these excitation conditions. A second study focuses on the non-resonant emitter mode coupling of a quantum dot coupeld to two modes of the micro pillar cavity together with the corresponding emission properties.
We describe how quantum dot semiconductor cavity systems can be engineered to realize anisotropy-induced dipole-dipole coupling between orthogonal dipole states in a single quantum dot. Quantum dots in single-mode cavity structures as well as photonic crystal waveguides coupled to spin states or linearly polarized excitons are considered. We demonstrate how the dipole-dipole coupling can control the radiative decay rate of excitons and form pure entangled states in the long time limit. We investigate both field-free entanglement evolution and coherently pumped exciton regimes, and show how a double-field pumping scenario can completely eliminate the decay of coherent Rabi oscillations and lead to population trapping. In the Mollow triplet regime, we explore the emitted spectra from the driven dipoles and show how a nonpumped dipole can take on the form of a spectral triplet, quintuplet, or a singlet, which has applications for producing subnatural linewidth single photons and more easily accessing regimes of high-field quantum optics and cavity-QED.
Single photons emitted from self-assembled quantum dots have been widely studied to use as a promising qubit for quantum information processing. Therefore, it is critical to fully understand the emission spectra from the quantum dot's excitation if we want to use a single photon as a quantum bit. It is almost impossible to produce rotationally symmetric quantum dots due to various growth conditions and restrictions. So the real quantum dots do not have a perfectly symmetric structure. A broken rotational symmetry causes an asymmetric exchange interaction between electron and hole, leading to a fine structure splitting between two excited states. The energy structure of a neutral InGaAs self-assembled quantum dot can be envisioned as a V-shaped energy diagram. A three-level V-system gives Mollow septuplets or Mollow quintuplets depending upon the frequency of the excitation laser. The main focus of this dissertation is to design a tunable optical filter to explore Mollow septuplets and Mollow quintuplets. A grating spectrometer cannot resolve an emission spectrum of a semiconductor quantum dot (QD) due to its limited resolution. Typical frequency separations between features in the emission spectrum of a typical InGaAs quantum dots are 2-10 GHz, while the best resolution available for a commercial spectrometer is about 9 GHz. The solution is to use a Fabry-Perot interferometer (FPI) as a tunable optical filter. This technique demands precise control of the distance between the two FPI mirrors. One way to control the length of the FPI cavity is to use an optical feedback method to lock the cavity using a costly tunable, stabilized reference laser. Here we adopt an alternative approach that uses an inexpensive, single-frequency laser and spatial interference patterns to lock different interferometer designs. We mechanically connect the FPI cavity to a secondary cavity called a Shearing Interferometer (SI) that is actively stabilized by a simple and inexpensive optical feedback method.