xvii, 163 p. ; ill. (some col.) A print copy of this title is available from the UO Libraries, under the call number: SCIENCE QC446.2.C85 2008 / We present experimental and theoretical studies of a hemispherical, high-solid-angle external optical micro-cavity strongly coupled to nanoscale optical centers for cavity-quantum electrodynamics (QED) strong coupling and efficient single-photon sources. Implementations of single-photon sources based on various optical centers have been reported in the last three decades. The need for efficient single-photon sources, however, is still a major challenge in the context of quantum information processing. In order to efficiently produce single photons single optical centers are coupled to a resonant high-finesse optical micro-cavity. A cavity can channel the spontaneously emitted photons into a well-defined spatial mode and in a desired direction to improve the overall efficiency, and can alter the spectral width of the emission. It can also provide an environment where dissipative mechanisms are overcome so that a pure-quantum-state emission takes place. We engineered a hemispherical optical micro-cavity that is comprised of a planar distributed Bragg reflector (DBR) mirror, and a concave dielectric mirror having a radius of curvature 60 μm. Nanoscale semiconductor optical centers (quantum dots) are placed at the cavity mode waist at the planar mirror and are located at an antinode of the cavity field to maximize the coherent interaction rate. The three-dimensional scannable optical cavity allows both spatial and spectral selection to ensure addressing single optical centers. This unique micro-cavity design will potentially enable reaching the cavity-QED strong-coupling regime and realize the deterministic production of single photons. This cavity can also be operated with a standard planar dielectric mirror replacing the semiconductor DBR mirror. Such an all-dielectric cavity may find uses in atomic cavity-QED or cold-atom studies. We formulated a theory of single-photon emission in the cavity-QED strong-coupling regime that includes pure dipole dephasing and radiative decay both through the cavity mirror and into the side directions. This allows, for the first time, full modeling of the emission quantum efficiency, and the spectrum of the single photons emitted into the useful output mode of the, cavity. / Adviser: Michael G. Raymer

Plasmonics have been used to enhance the interaction of light with metallic nanostructures and lanthanide-doped upconversion nanocrystals. This enhancement can be achieved by using specific structures, materials, and plasmonic resonators at the emission and absorption wavelengths of the particles. This dissertation is based on four projects, which are mainly about the interaction of light and matter in metallic nanostructures and the up-conversion of nanocrystals using plasmonic resonators. In metal-insulator-metal systems, the cavity's resonant length is determined by the plasmon wavevector and the phase of reflection from the end faces. In general, the resonance length is not a simple multiple of the half-wavelength due to the significant reflection phase. As a result, in order to have a better understanding of MIM cavity resonances, the reflection phase must be calculated correctly. In the first project, the reflection phase obtained by SPPs upon reflection off the slit end-faces is calculated analytically using a simple mode matching model for real metals showing both dispersion and loss. The technique is similar to previous works, with the exception that we use the unconjugated version of the orthogonality relation. The results show good agreement with the experimental data. By having a strong grasp of the SPP dispersion, this technique aids in the design of plasmonic devices for operation at a specific wavelength. Single-photon sources are optical sources capable of emitting a single photon. A single lanthanide ion within a plasmonic nano structure with a large emission enhancement is one technique to generate a single-photon source at 1550 nm, which is a low-loss band used in fibre optics. In the second project, plasmonic double nanohole resonators are fabricated using colloidal lithography. These structures have been used to enhance the emission from low-concentration erbium emitters. The results indicate that different levels of emissions exist based on the amount of Er contained inside the nanocrystals. These findings would be an excellent starting point for developing a single-photon source operating at a 1550 nm wavelength employing erbium. Because not only can it increase the emission rate from erbium emitters, but it also helps to find and isolate a single emitter, which gives a stable single photon source. Because the surface plasmon resonance is exponentially coupled to the surface, it exhibits excellent sensitivity to changes in the refractive index near the surface. This is the underlying principle of commercially available surface plasmon resonance biosensors. Due to the wide range of applications in water quality testing and biosensing, it is critical to developing highly sensitive sensors that are compatible with commercial sensors. In the third project, we develop a design for SRSP sensing using a rectangular stripe grating and a 10 nm thick gold film. The 10 nm gold layer is sufficiently thick to enable continuous films to be formed using standard deposition procedures. We demonstrate that by employing rigorous coupled-wave analysis, the surface sensitivity of these films to an adlayer is increased by 3.3 times in angle units and the resolution is increased by fourfold while working at the commercial SPR system wavelength of 760 nm. Before trapping a particle in double nanohole apertures, we must first locate the double nanohole on the sample (gold on glass with apertures) and compare the scanning electron microscopy images with the image on the camera in the optical setup using certain markers. In the fourth project, to make DNH aperture trapping easier, we provide a polarization and transmission dependency approach for localizing and orienting DNHs on a substrate. This method provides a time and cost-effective way to ease the experimental process. This technique may also be used to localize different aperture clusters and single holes. / Graduate

Quantum information is a highly interesting and fast emerging field that involves processing information encoded into quantum systems and their subsequent use in various information tasks. The use of quantum resources such as superposition and entanglement have shown to enhance information processing capabilities beyond classical means in a number of communication, information and computation tasks. In this thesis, we have used single photons to study the advantage of d-level quantum systems (qudits) for a communication task commonly known as random access codes (RACs). A successful experimental demonstration of quantum random access codes (QRACs) with four dimensions is realized to demonstrate that the higher dimensional QRACs not only outperform the classical RACs but also provide an advantage over their quantum bit (qubit) counterparts. QRACs are also studied in regards to two specific applications: certification of true randomness and for testing the non-classicality of quantum systems. A method for increased certification of generated randomness is realized for the former and a successful experimental demonstration of a test of non-classicality with arbitrarily low detection efficiency is provided for the latter. This is followed by an implementation of a QRAC in a one-path communication network consisting of preparation, transformation and measurement devices. We have shown that the distributed QRAC provides optimal success probabilities for a number of tasks. Moreover, a novel quantum protocol for the solution to the problem of dining cryptographers and anonymous veto voting is also presented. This single photon transmission based protocol provides an efficient solution, which is experimentally demonstrated for a 3-party description. Lastly, Nitrogen-Vacancy (NV) center in diamond is studied as a potential resource for single photon emission and two methods to enhance the photon collection efficiency are successfully explored. Due to this enhancement, single photons from an NV center may also be used in similar single quantum system based communication experiments. / <p>At the time of the doctoral defense, the following papers were unpublished and had a status as follows: Paper 3: Manuscript. Paper 4: Manuscript. Paper 5: Manuscript.</p>

In recent years, there has been rapid development in processing of quantum information using quantum states of light. The focus is now turning towards developing real-world implementations of technologies such as all-optical quantum computing and cryptography. The ability to consistently create and control the required single photon states of light is crucial for successful operation. Therefore, high performance single photon sources are very much in demand. The most common approach of generating the required nonclassical states of light is through spontaneous photon pair generation in a nonlinear medium. One photon in the pair is detected to "herald" the presence of the remaining single photon. For many applications the photons are required to be in pure indistinguishable states. However, photon pairs generated in this manner typically suffer from spectral correlations, which can lead to the production of mixed, distinguishable states. Additionally, these sources are probabilistic in nature, which fundamentally limits the number of photons that can be delivered simultaneously by independent sources and hence the scalability of these future technologies. One route to deterministic operation is by actively multiplexing several independent sources together to increase the probability of delivering a single photon from the system. This thesis presents the development and analysis of a multiplexing scheme of heralded single photons in high-purity indistinguishable states within an integrated optical fibre system. The spectral correlations present between the two photons in the pair were minimised by spectrally engineering each photonic crystal fibre source. A novel, in-fibre, broadband filtering scheme was implemented using photonic bandgap fibres. In total, two sources were multiplexed using a fast optical switch, yielding an 86% increase in the heralded count rate from the system.

This thesis reports the study of single photon sources that emit one infrared wavelength photon at a time, creating cavity quantum electrodynamical effects for applications such as quantum information processing. This work considers two major single photon sources: a) InAs single quantum dots and b) single carbon nanotubes, which both emit in the infrared range. Photonic crystal slabs and photonic crystal waveguides are served as distinctive passive devices with manipulated photonic band-gaps to control the propagating light. A simulation of leaky modes of two-dimensional photonic crystal slabs is introduced to constrain model parameters in the device design. Fullerenes are used as fluorescent material to achieve resonance of a leaky mode with excitation 1492 nm and emission at 1519 nm and to see enhancement of the PL. We include novel characterization techniques and PL measurements to show sharp emission peaks from single quantum dots and successfully couple them to micro-cavities. The strong coupling effect is observed and is amongst the best examples of cavity-dot structures achieved to date. Single-walled carbon nanotubes have shown anti-bunched light emission, thus we systematically study them as another possible candidate of single photon sources. PLE spectra show clear evidence of the existence of excited states, and time evolution measurements reveal the disorder induced diffusion, which separate the tubes into a series of quantum dots. These strongly confined states are concluded as the origin of the possibility that single-walled carbon nanotubes are single photon sources.

In this work, resonant laser spectroscopy has been utilized in two major projects --resonance fluorescence measurements in solid-state quantum-confined nanostructures and laser-induced fluorescence measurements in gases. The first project focuses on studying resonant light-matter interactions in semiconductor quantum dots "artificial atoms" with potential applications in quantum information science. Of primary interest is the understanding of fundamental processes and how they are affected by the solid-state matrix. Unlike atoms, quantum dots are susceptible to a variety of environmental influences such as phonon scattering and spectral diffusion. These interactions alter the desired properties of the scattered light and hinder uses in certain single photon source applications. One application of current interest is the use of quantum dots in “quantum repeaters” for which two-photon interference is key. Motivated by such an application we have explored the limits imposed by environmental effects on two quantum dots in the same sample, the scattered light from which is being interfered. We find that both one-photon and two-photon interference, although substantial, are affected in a variety of ways, in particular by spectral diffusion. These observations are discussed and compared with a theoretical model. We further investigated correlations in pulsed resonance fluorescence, and found significant unexpected spectral and temporal deviations from those studied under continuous wave excitation. Under these conditions, the scattered light exhibits Rabi oscillations and photon anti-bunching, while maintaining a rich spectrum containing many spectral features. These observations are discussed and compared with a theoretical model. In the second project, the focus is on the investigation of the possibility of detecting N2+ ions in air using laser induced fluorescence, with potential applications in detection of fissile materials at a distance. A photon-counting analysis reveals that the fluorescence decay rate rapidly increases with increasing N2 pressure and thus limits the detection at elevated pressures, in particular at atmospheric pressure. We show that time-gated detection can be used to isolate N2+ fluorescence from delayed N2 emission. Based on the spontaneous Raman signal from N2 simultaneously observed with N2+ fluorescence, we could estimate a limit of detection in air of order 108-1010 cm3.

Quantentechnologien sind im Begriff sich von Laborversuchen zu effizienten Anwendungen zu entwickeln. Die Quantenzustände einzelner Photonen spielen dabei die Rolle als Bindeglied zwischen stationären Quantensystemen. Ein hybrider Ansatz wird verfolgt, um die Wechselwirkung gezielt zwischen im Wellenleiter geleiteten Photonen und gekoppelten Quantenemittern zu erreichen. Die Dissertation untersucht zwei zentrale Aspekte solcher hybriden photonischen Quantentechnologien: die effiziente Erzeugung von Photonen und die Optimierung von photonischen Strukturen. Der erste Teil dieser Arbeit behandelt die Entwicklung einer optischen Mikrotechnology. Integrierte nano-photonische Wellenleiter aus Siliziumnitrid wurden für die Kopplung zu Quantenemittern entworfen, optimiert und optisch untersucht. Das finale Design wurde erfolgreich in Kopplungsexperimenten verwendet, bei denen 42 % der Fluoreszenz eines einzelnen Moleküls an einen Wellenleiter gekoppelt wurde. Der zweite Teil der Arbeit untersucht zwei Einzelphotonenquellen. Zunächst wurde ein neuartiger Einzelphotonenemitter basierend auf Defektzentren in Zinkoxid optisch bei tiefen Temperaturen untersucht. Es konnte im Zuge dieser Arbeit erstmals gezeigt werden, dass die Photonen von nano-strukturiertem Zinkoxid sehr schmalbandige Emission aufweisen. Im letzten Teil, wird eine Einzelphotonenquelle bestehend aus einem organischen Molekül untersucht. Bei kryogenen Temperaturen wurden Lebenszeit-limitierte Linienbreiten auf den Molekülproben detektiert. Die Rabi-Oszillationen zwischen den Molekülzuständen konnten akkurat durch eine quantenmechanische Theorie beschrieben werden, wodurch die Vermessung der Dephasierung des Quantensystems durch die nanoskopische Umgebung präzise studiert werden konnte. Die Ergebnisse dieser Arbeit zur Kopplung von Einzelphotonenquellen stellen die Grundlage für weitere Anwendungen durch eine photonische Quantentechnologie dar. / Quantum technologies are on the verge to transition from laboratory experiments to efficient integrated applications. The quantum states of photons are the connecting link between individual stationary quantum systems. A hybrid approach is employed to tailor the interaction of routed photons with optically coupled quantum systems. The thesis investigates two core aspects of a hybrid photonic quantum technology: efficient single photon generation and optimized photonic micro-structures, suitable to form a hybrid system. In the first part of this work, nano-photonic integrated structures were optimized for efficient coupling to quantum emitters. Optical waveguides based on silicon nitride (SiN) were designed, fabricated, and optically characterized. The final design was successfully employed in coupling experiments, where up to 42% of the fluorescence from a single molecule was coupled to a waveguide. In the second part of this thesis two single photon sources are investigated towards their implementation into a hybrid photonic system. First, a novel single photon source based on a defect center in zinc oxide was optically investigated at room-temperature and cryogenic temperature. Spectrally narrow zero-phonon lines of the fluorescence from nano-structured zinc oxide were measured for the first time during this work. A second emitter system, based on an organic dye molecule was investigated in the final part of this research. At cryogenic temperatures, single molecules showed lifetime-limited linewidths of <50MHz. A resonant laser source drives Rabi oscillations, which are accurately described by the quantum mechanical theory of a two-level system. The system's decoherence was mapped, illustrating the quantum sensing capabilities of the system. The results presented in this thesis on coupling efficiencies and single emitter performance provide the necessary background of the elements composing a future hybrid technology.

Die Nutzung von Quanteneigenschaften für die Informationsverarbeitung, die sogenannte Quanteninformationsverarbeitung (QIP), ist ein seit zwei Jahrzehnten zunehmend populäres Forschungsfeld. Es hat sich gezeigt, dass Einzelphotonen die am besten geeigneten Träger für den Transport von Quanteninformation über weite Strecken sind. Obwohl viele Methoden zur Erzeugung von Einzelphotonen existieren, wurde bisher nur wenig Forschungsarbeit an schmalbandigen Einzelphotonen, d.h. mit spektralen Breiten im MHz-Bereich geleistet. Allerdings sind solche Einzelphotonen besonders wichtig, wenn Kopplungen zwischen Einzelphotonen und atomaren Systemen, die oft als Verarbeitungseinheiten in der QIP genutzt werden, realisiert werden sollen. Diese Doktorarbeit befasst sich mit mehreren Forschungsaspekten zu schmalbandigen Einzelphotonen, die von Bedeutung sind, wenn solche Photonen als Informationsträger genutzt werden sollen. Zunächst wird eine Quelle von schmalbandigen Einzelphotonen vorgestellt, die auf dem Konzept der parametrischen Fluoreszenz innerhalb eines optischen Resonators basiert und die einen konstanten Strom von Photonenpaaren emittiert. Eine statistische Beschreibung dieser Photonenpaare wird vorgestellt und erstmals direkt gemessen. Um Emission in nur eine einzelne Mode zu erreichen, wurde der Photonenstrom mit Hilfe eines speziell entwickelten Mehrpass-Fabry-Perot-Etalons mit geringem Durchlassbereich und sehr hohem Kontrast gefiltert. Photon-Atom-Wechselwirkungen werden im zweiten Teil der Arbeit gezeigt. Der Effekt der elektromagnetisch induzierten Transparenz (EIT) wird vorgestellt und experimentell demonstriert. Die ersten EIT Experimente in Cäsiumgaszellen bei Raumtemperatur mit Probepulsen, die nur ein einzelnes Photon enthalten, werden demonstriert. Schließlich zeigt ein umfassender Ausblick wie die entwickelten experimentellen Bausteine erweitert werden können, um Einzelphotonenspeicherung zu erlauben und die Technologie für Quantenrepeater zu demonstrieren. / The use of quantum mechanical properties for information processing, so-called quantum information processing (QIP) has become an increasingly popular research field in the last two decades. It turned out that single photons are the most reliable long distance carriers of quantum information, e.g., tools to connect different processing nodes in QIP. While several methods exist to produce single photons, only little research has been performed so far on narrow-band single photons with spectral bandwidths in the MHz regime. Such photons are, however, of particular importance when coupling of single photons to atomic systems, which are often used in QIP as processing nodes, shall be realized. This thesis covers several research aspects on narrow-band single photons, all of which are important if such photons should be used as quantum information carriers. At first, a source for narrow-band single photons is introduced. This source is based on the concept of parametric down-conversion inside an optical resonator. It emits a constant stream of photon pairs. One of the two photons from the pair can be detected heralding the presence of the other photon. A statistical description of these photon pairs is introduced and for the first time also directly measured. In order to reach single-mode single-photon emission, the stream of photons was filtered with a specifically developed multi-pass Fabry-Perot etalon. This filter has a passband FWHM of only 165 MHz and particularly high contrast.

In dieser Arbeit wird das Stickstoff-Fehlstellenzentrum (NV Zentrum) in Diamant als ein solcher Einzelphotonenemitter untersucht. Durch Benutzung eines hybriden Ansatzes werden hier NV Zentren in Diamantnanopartikeln in photonische Strukturen integriert. Zuerst wird eine aufnehmen-und-ablegen-Nanomanipulationstechnik mittels eines Rasterkraftmikroskops verwendet um einzelne NV Zentren an eine photonische Kristallkavität und eine optische Faser zu koppeln. Durch Kopplung an die photonische Kristallkavität wird die Emission der Nullphononenlinie des NV Zentrums um den Faktor 12.1 erhöht und durch Kopplung an die optische Faser entsteht eine direkt gekoppelte Einzelphotonenquelle hoher effektiver numerischer Apertur. Durch Kopplung an plamonische Wellenleiter können einzelne Oberflächenplasmon-Polaritonen nachgewiesen werden. Zweitens wird ein anderer Ansatz, die Entwicklung eines hybriden Materials, verfolgt. Hier sind die Nanodiamanten, anstatt sie auf die Strukturen von Interesse zu legen, von Anfang in dem Material enthalten, aus dem die Strukturen hergestellt werden. Mittels direktem Zweiphotonen-Laserschreiben ist es dann möglich, Kombinationen aus chipintegrierten Wellenleitern, Resonatoren und Einzelphotonenemittern zu zeigen. Um mehr über die Dynamik von NV Zentren in Nanodiamant zu erfahren und Wege zu ihrer Verbesserung zu finden, wird die Dynamik der Nullphononenlinie des NV Zentrums mittels eines Photonenkorrelationsinterferometers untersucht. Zusätzlich zu Techniken zur Herstellung photonischer und plasmonischer Strukturen werden auch Methoden zu ihrer Charakterisierung benötigt. Hier für kann es ausgenutzt werden, dass das NV Zentrum weiter nicht nur ein Einzelphotonenemitters ist, sondern es ebenso als Sensor verwendet werden kann. Das NV Zentrum wird hier verwendet, um die lokale optische Zustandsdichte in einem Rastersondenverfahren zu messen, was die Technik der dreidimensionalen Quantenemitter Fluoreszenzlebensdauermikroskopie einführt. / In this thesis, one of such single photon emitters, the nitrogen vacancy centre (NV centre) in diamond, will be examined. By using different hybrid approaches, NV centres in diamond nanoparticles are integrated into photonic structures. Firstly, using a pick-and-place nanomanipulation technique with an atomic force microscope, a single NV centre is coupled to a photonic crystal cavity and an optical fibre. Coupling to the photonic crystal cavity results in an enhancement of the NV centre''s zero phonon line by a factor of 12.1 and coupling to the fibre yields a directly coupled single photon source with an effective numerical aperture of 0.82. By coupling to plasmonic waveguides, the signature of single surface plasmon polaritons is found. Secondly, instead of placing the nanodiamonds on the structures of interest, a hybrid material where the emitters are incorporated is used. With two-photon direct laser writing, on-chip integration and combination of waveguides, resonators, and single photon emitters is demonstrated. In order to learn more on the dynamics of NV centre in nanodiamonds and find ways for improvements, the dynamics of the ultra-fast spectral diffusion of the NV centre''s zero phonon line are investigated using a photon correlation interferometer. In addition to techniques for the fabrication of photonic and plasmonic structures, also methods for their characterisation are needed.For this, it can be exploited that the NV centre also is not only a single photon emitter, but can also be employed as a sensor. Here, the NV centre is used to measure the local density of optical states in a scanning probe experiment, establishing the technique of three-dimensional quantum emitter fluorescence lifetime imaging.

Sources of single and polarization-entangled photons are an essential component in a variety of potential quantum information applications. Suitable emitters need to generate photons deterministically and at fast repetition rates, with highest degrees of single-photon purity, entanglement and indistinguishability. Semiconductor quantum dots are among the leading candidates for this task, offering entangled-photon pair emission on-demand, challenging current state-of-the-art sources based on the probabilistic spontaneous parametric down-conversion (SPDC). Unfortunately, their susceptibility to perturbations from the solid-state environment significantly affects the photon coherence and entanglement degree. Furthermore, most quantum dot types suffer from poor wavelength control and emitter yield, due to a random growth process. This thesis investigates the emerging family of GaAs/AlGaAs quantum dots obtained by in-situ Al droplet etching and nanohole infilling. Particular focus is laid on the interplay of growth parameters, quantum dot morphology and optical properties. An unprecedented emission wavelength control with distributions as narrow as ± 1 nm is achieved, using four independent growth parameters: The GaAs infilling amount, the deposition sequence, the migration time and the Al concentration in the barrier material. This enables the generation of large emitter ensembles tailored to match the optical transitions of rubidium, a leading quantum memory candidate. The photon coherence is enhanced by an optimized As flux during the growth process using the GaAs surface reconstruction. With these improvements, we demonstrate for the first time two-photon interference from separate, frequency-stabilized quantum dots using a rubidium-based Faraday filter as frequency reference. Two-photon resonant excitation of the biexciton state is employed for the coherent and deterministic generation of photon pairs with negligible multi-photon emission probability. The GaAs/AlGaAs quantum dots exhibit a very small average fine structure of (4.8 ±2.4) µeV and short average radiative lifetimes of 200 ps, enabling entanglement fidelities up to F = 0.94, which are among the highest reported for any entangled-photon source to date. Furthermore, almost all fabricated emitters on a single wafer exhibit fidelities beyond the classical limit - without any post-growth tuning. By embedding the quantum dots into a broadband-optical antenna we enhance the photon collection efficiency significantly without impairing the high degrees of entanglement. Thus, for the first time, quantum dots are able to compete with SPDC sources, paving the way towards the realization of a semiconductor-based quantum repeater - among many other key enabling quantum photonic elements.:Contents List of Figures ix List of Tables xiii 1 Introduction 1 1.1 Researchmotivation ...................1 1.1.1 Structure of this thesis ................. 3 1.2 Applications based on entangled photons ............. 4 1.2.1 Quantum bits ...................4 1.2.2 Quantum key distribution ................ 5 1.2.3 Qubit teleportation .................. 7 1.2.4 Teleportation of entanglement ..............9 1.2.5 The photonic quantumrepeater .............. 10 1.3 Generation of entangled photons ...............12 1.3.1 The ideal entangled-photon source ............. 12 1.3.2 Non-deterministic photon sources ............. 13 1.3.3 Deterministic photon sources ..............14 2 Fundamentals 17 2.1 Semiconductor quantumdots ................17 2.1.1 Introduction to semiconductor quantum dots .......... 17 2.1.2 Formation of confined excitonic states ............ 19 2.1.3 Energy hierarchy of excitonic states ............. 21 2.2 Entangled photons from semiconductor quantumdots ......... 22 2.2.1 The concept of entanglement ............... 22 2.2.2 Polarization-entangled photon pairs fromthe biexciton radiative decay .. 23 2.2.3 Origin and impact of the exciton fine structure splitting ....... 25 2.2.4 Impact of spin-scattering, dephasing and background photons on the degree of entanglement ..................29 2.3 Quantum dot entangled-photon sources - State of the art ........32 2.4 Exciton radiative lifetime .................. 34 2.4.1 The concept of radiative lifetime .............. 34 2.4.2 Measurement of the radiative lifetime ............35 2.5 Single-photon purity ...................37 2.5.1 Photon number distributions ............... 37 2.5.2 Second-order correlation function .............38 2.5.3 Measurement of the second-order correlation function ....... 40 2.6 Measurement of entanglement ................42 2.6.1 Quantum state tomography ...............43 2.7 Photon coherence and spectral linewidth .............46 2.7.1 The concept of coherence ................ 46 2.7.2 First-order coherence ................. 46 2.7.3 Relation between coherence and spectral linewidth ........ 49 2.7.4 homogeneous vs. inhomogeneous broadening in single quantumdots ..50 2.8 Photon indistinguishability .................51 2.8.1 Hong-Ou-Mandel interference ..............51 2.8.2 Hong-Ou-Mandel interference between photons fromseparate sources .. 52 2.8.3 The Bell state measurement with linear optics .......... 53 3 Experimentalmethods 55 3.1 The GaAs and AlAs material system ............... 55 3.2 Molecular beam epitaxy ..................56 3.2.1 The Concept of molecular beam epitaxy ...........56 3.2.2 Layout and components of the III-V Omicron MBE ........58 3.2.3 Growth parameters .................. 59 3.2.4 Reflection high-energy electron diffraction (RHEED) ........ 60 3.2.5 Growth rate determination using RHEED oscillations .......61 3.3 Optical setups .....................63 4 Results 67 4.1 Growth of GaAs/AlGaAs quantum dots by in-situ Al droplet etching .....68 4.1.1 Motivation for the study of GaAs / AlGaAs quantum dots ......68 4.1.2 GaAs / AlGaAs quantum dot growth process ..........69 4.1.3 Interplay between growth parameters, quantumdot morphology and optical properties ................. 71 4.1.4 Nanohole morphology and quantumdot formation ........ 73 4.1.5 Optical characterization ................75 4.1.6 Deterministic wavelength control .............77 4.1.7 Photon coherence and radiative lifetime ...........84 4.1.8 Decoherence processes in semiconductor quantum dots ......86 4.1.9 Chamber conditioning and growth process optimization ......87 4.1.10 Arsenic flux calibration using the GaAs surface reconstruction ..... 88 4.1.11 Enhanced photon coherence after growth process adjustments ....92 4.2 Two-photon interference from frequency-stabilized GaAs/AlGaAs quantum dots .................94 4.2.1 Frequency tuning of semiconductor quantumdots ........95 4.2.2 Experimental setup .................. 95 4.2.3 Optical characterization of the separate GaAs/AlGaAs quantum dots ... 98 4.2.4 Faraday anomalous dispersion optical filter and frequency feedback ... 99 4.2.5 Two-photon interference between remote, frequency-stabilized quantum dots 100 4.3 Solid-state ensemble of highly entangled photon sources at rubidiumatomic transitions ........................102 4.3.1 Fine-structure splitting ................103 4.3.2 Resonant excitation of the biexciton state ...........105 4.3.3 Single photon purity and radiative lifetime ........... 107 4.3.4 Radiative lifetime of GaAs/AlGaAs quantumdots - comparison to other quantumdot types ...................108 4.3.5 Degree of entanglement ................109 4.3.6 Highly-efficient extraction of the obtained entangled photons ..... 116 5 Conclusions 119 5.1 Summary ....................... 119 5.2 Discussion and outlook ..................122 Bibliography 127 Publications and scientific presentations 150 Acknowledgments 154 Selbstständigkeitserklärung 157 Curriculum vitae 157