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Quantum Key Distribution (QKD) is a promising method for information exchange that relies on quantum mechanical principles to increase the security of encodedinformation in comparison with traditional cryptography. The objective of this degree project was to plan, build and validate a receiver system for Free-Space QKD. To testit, a simple state-preparation setup was built, using a 780 nm laser for the QKD channel and a 680 nm laser for tracking, and both were sent over a single free-spacequantum channel. On the receiver side, the beam is received by a telescope that focuses it into the eye-opening where the receiver is positioned. Here, the tracking laser isdeflected to a camera (intended for a tracking algorithm, to be implemented in the future) and the QKD laser beam is split, and its polarization measured in |H⟩/|V⟩ and|+⟩/|−⟩ basis. Finally, the system is validated by testing that the beam propagates over the free-space channel, that the polarization correction is properly applied and,finally, that each polarization is routed into the right detector. By replacing the test sender with another with a capacity for sending states random number generation, thedeveloped receiver should be able to take part in quantum communication via protocols such as BB84, B92 or Decoy-State. / Kvantnyckeldistribution (QKD) är en lovande metod för informationsutbyte som förlitar sig på kvantmekaniska principer för att öka säkerheten för kodad informationjämfört med traditionell kryptografi. Syftet med detta examensprojekt var att planera, bygga och validera ett mottagarsystem för Fritt Rymd QKD. För att testa det,byggdes en enkel state-preparation setup, med hjälp av en 780 nm laser för QKD kanal och en 680 nm- laser för spårning, och båda skickades över en enda fri-rymdkvantkanal. På mottagarens sida tas strålen emot av ett teleskop som fokuserar den i ögonöppningen där mottagaren är placerad. Här avlägsnas spårningslasern till enkamera (som är avsedd för en spåringsalgoritm, som ska genomföras i framtiden) och QKD-laserstrålen är uppdelad, och polariseringen mäts i |H⟩/|V⟩ och |+⟩/|−⟩ bas.Slutligen valideras systemet genom att testa att strålen sprider sig över den fria rymdkanalen, att polariseringskorrigering tillämpas korrekt och, slutligen, att varjepolarisering riktas till rätt detektor. Genom att ersätta testsändaren med en annan med en kapacitet för att sända stater slumptalsgenerering, bör den utvecklademottagaren kunna delta i kvantkommunikation via protokoll som BB84, B92 eller Decoy-State.

Thesis (PhD)--Stellenbosch University, 2014. / ENGLISH ABSTRACT: High-dimensional quantum entanglement offers an increase in information capacity per photon; a highly desirable property for quantum information processes such as quantum communication, computation and teleportation. As the orbital angular momentum (OAM) modes of light span an infinite-dimensional Hilbert space, they have become frontrunners in achieving entanglement in higher dimensions. In light of this, we investigate the potential of OAM entanglement of photons by controlling the parameters in both the generation and measurement systems. We show the experimental procedures and apparatus involved in generating and measuring entangled photons in two-dimensions. We verify important quantum tests such as the Einstein, Podolsky and Rosen (EPR) paradox using OAM and angle correlations, as well as a violation of a Bell-type inequality. By performing a full state tomography, we characterise our quantum state and show we have a pure, highly entangled quantum state. We demonstrate that this method can be extended to higher dimensions. The experimental techniques used to generate and measure OAM entanglement place an upper bound on the number of accessible OAM modes. As such, we investigate new methods in which to increase the spiral bandwidth of our generated quantum state. We alter the shape of the pump beam in spontaneous parametric down-conversion and demonstrate an effect on both OAM and angle correlations. We also made changes to the measurement scheme by projecting the photon pairs into the Bessel-Gaussian (BG) basis and demonstrate entanglement in this basis. We show that this method allows the measured spiral bandwidth to be optimised by simply varying the continuous radial parameter of the BG modes. We demonstrate that BG modes can be entangled in higher dimensions compared with the commonly used helical modes by calculating and comparing the linear entropy and fidelity for both modes. We also show that quantum entanglement can be accurately simulated using classical light using back-projection, which allows the study of projective measurements and predicts the strength of the coincidence correlations in an entanglement experiment. Finally, we make use of each of the techniques to demonstrate the effect of a perturbation on OAM entanglement measured in the BG basis. We investigate the self-healing property of BG beams and show that the classical property is translated to the quantum regime. By calculating the concurrence, we see that measured entanglement recovers after encountering an obstruction. / AFRIKAANSE OPSOMMING: Hoë-dimensionele kwantumverstrengeldheid bied ’n toename in inligtingskapasiteit per foton. Hierdie is ’n hoogs wenslike eienskap vir kwantum inligting prosesse soos kwantum kommunikasie, berekening en teleportasie. Omdat die orbitale hoekmomentum (OAM) modusse van lig ’n oneindig dimensionele Hilbertruimte beslaan, het dit voorlopers geword in die verkryging van verstrengeling in hoër dimensies. In die lig hiervan, ondersoek ons die potensiaal van OAM verstrengeling van fotone deur die parameters in beide die generering en meting stelsels te beheer. Ons toon die eksperimentele prosedures en apparaat wat betrokke is by die generering en die meet van verstrengelde fotone in twee dimensies. Ons verifieer kwantumtoetse, soos die Einstein, Podolsky en Rosen (EPR) paradoks vir OAM en die hoekkorrelasies, sowel as ’n skending van ’n Bell-tipe ongelykheid. Deur middel van ’n volledige toestand tomografie, karakteriseer ons die kwantum toestand en wys ons dat dit ’n suiwer, hoogs verstrengel kwantum toestand is. Ons toon ook dat hierdie metode uitgebrei kan word na hoër dimensies. Die eksperimentele tegnieke wat tydens die generasie en meet van OAM verstrengeling gebruik is, plaas ’n bogrens op die aantal toeganklik OAM modusse. Dus ondersoek ons nuwe metodes om die spiraal bandwydte van ons gegenereerde kwantum toestand te verhoog. Ons verander die vorm van die pomp bundel in spontane parametriese af-omskakeling en demonstreer die uitwerking daarvan op beide OAM en die hoekkorrelasies. Ons het ook veranderinge aan die meting skema gemaak deur die foton pare op die Bessel-Gauss (BG) basis te projekteer. Ons wys dat hierdie metode die gemeetde spiraal bandwydte kan optimeer deur eenvoudig die kontinue radiale parameter van die BG modes te verander. Ons demonstreer dat BG modusse verstrengel kan word in hoër dimensies as die heliese modusse, wat algemeen gebruik word, deur berekeninge te maak en te vergelyk met lineêre entropie en vir beide modusse. Ons wys ook dat kwantumverstrengling akkuraat nageboots kan word, met behulp van die klassieke lig terug-projeksie, wat die studie van projeksie metings toelaat en voorspel die krag van die saamval korrelasies in ’n verstrengeling eksperiment. Ten slotte, gebruik ons elk van die tegnieke om die effek van ’n storing op OAM verstrengling wat in die BG basis gemeet is, te demonstreer. Ons ondersoek die self-genesingseienskap van BG bundels en wys dat die klassieke eienskap vertaal na die kwantum-gebied. Deur die berekening van die konkurrensie (concurrence), sien ons dat die gemeetde verstrengeling herstel word nadat ’n obstruksie ondervind is.

Photonics has consistently played an important role in the investigation of quantum-enhanced technologies and the corresponding study of fundamental quantum phenomena. The majority of these experiments have relied on the free space propagation of light between bulk optical components. This relatively simple and flexible approach often provides the fastest route to small proof-of-principle demonstrations. Unfortunately, such experiments occupy significant space, are not inherently phase stable, and can exhibit significant scattering loss which severely limits their use. Integrated photonics offers a scalable route to building larger quantum states of light by surmounting these barriers. In the first half of this thesis, we describe the operation of on-chip heralded sources of single photons. Loss plays a critical role in determining whether many quantum technologies have any hope of outperforming their classical analogues. Minimizing loss leads us to choose Spontaneous Four-Wave Mixing (SFWM) in a silica waveguide for our source design; silica exhibits extremely low scattering loss and emission can be efficiently coupled to the silica chips and fibers that are widely used in quantum optics experiments. We show there is a straightforward route to maximizing heralded photon purity by minimizing the spectral correlations between emitted photon pairs. Fabrication of identical sources on a large scale is demonstrated by a series of high-visibility interference experiments. This architecture offers a promising route to the construction of nonclassical states of higher photon number by operating many on-chip SFWM sources in parallel. In the second half, we detail one of the first proof-of-principle demonstrations of a new intermediate model of quantum computation called boson sampling. While likely less powerful than a universal quantum computer, boson sampling machines appear significantly easier to build and may allow the first convincing demonstration of a quantum-enhanced computation in the not-distant future. Boson sampling requires a large interferometric network which are challenging to build with bulk optics, we therefore perform our experiment on-chip. We model the effect of loss on our postselected experiment and implement a circuit characterization technique that accounts for this loss. Experimental imperfections, including higher-order emission from our photon pair sources and photon distinguishability, are modeled and found to explain the sampling error observed in our experiment.

Dans les dernières années nombre de matériaux lamellaires à dimensions réduites ont démontré des propriétés optiques remarquables. Cependant, la plupart des études ont porté sur le système parfait et le rôle des défauts en tant que centres optiques actifs restent encore largement inexploré. Le nitrure de bore hexagonal (h-BN) est l'un des candidats les plus prometteurs pour les dispositifs émetteurs de lumière dans la région de l’UV lointain, présentant une forte émission excitonique à 5,8 eV. Cependant, émission n’apparaît uniquement que dans des monocristaux très purs qui peuvent difficilement être obtenus que par des procédés de synthèse complexes. Les échantillons ordinaires de h-BN présentent des spectres d'émission plus complexes qui ont été généralement été attribuée à la présence de défauts structuraux. Malgré un grand nombre d'études expérimentales jusqu'à présent il n'a pas été possible d'attribuer cette émission additionnelle à des défauts structuraux bien définis. Nous abordons ici cette question fondamentale en adoptant une approche théorique et expérimentale combinant une technique de cathodoluminescence nanométriquement résolu avec une caractérisation structural résolu atomiquement par microscopie électronique a transmission et de l'état de l'art de simulations excitoniques. Très récemment, l'équipe d'Orsay a mis au point un système de détection de cathodoluminescence intégré au sein d'un microscope électronique à transmission à balayage. Cette expérience unique est maintenant en mesure de fournir des spectres d'émission complet avec une résolution aussi faible que quelques dizaines de MeV associés à une taille de sonde électronique du nanomètre. Une image hyper-spectrale cathodoluminescence peut donc être enregistrée en parallèle avec une image HAADF. La cathodoluminescence résolu au nanomètre sur quelques-couche chimiquement exfoliée de h-BN a montré que les spectres d'émission sont fortement inhomogènes dans les feuillets individuels. Les pics d'émission à proximité de l'exciton libre apparaissent dans des régions étendues. Les examens complémentaires par microscopie électronique à transmission à haute résolution permettent d'associer ces raies d'émission avec des défauts étendue dans le cristal tels que les défauts d'empilement et les plis des facetter. Au moyen de calculs ab-initio dans le cadre de la « Many Body perturbation theory » (GW) et l'équation de Bethe-Salpeter nous fournissons une description détaillée de la structure électronique et la réponse spectroscopique du nitrure de bore hexagonal en présence de défaut d’empilements. En particulier, nous montrons un bon accord avec les résultats expérimentaux, les excitons supplémentaires sont associées à des changements de symétrie locaux qui se produisent par des fautes d'empilement dans le cristal. Ce résultat sera ensuite étendu à des nanotubes de BN à parois multiples. Des émissions supplémentaires qui apparaissent à l'intérieur du gap présentent une localisation spatiale élevée, typiquement inférieure à 100 nm, et par conséquent ils peuvent être liés à des défauts ponctuels individuels. Lorsqu’ils sont adressés individuellement à travers une sonde électronique très ciblé, ils pourraient avoir un caractère d’émetteur de photon unique. Cette hypothèse a été récemment confirmée par des expériences combinant notre système de cathodoluminescence avec un interféromètre Handburry-Brown et Twiss (HBT). / Within the latest years number of layered materials at reduced dimensions have demonstrated remarkable optical properties. However most studies focused on perfect system and the role of defects as optical active centers remain still largely unexplored. Hexagonal boron nitride (h-BN) is one of the most promising candidates for light emitting devices in the far UV region, presenting a single strong excitonic emission at 5.8 eV. However, a single line appears only in extremely pure mono-crystals that can hardly be obtained only though complex synthesis processes. Common h-BN samples present more complex emission spectra that have been generally attributed to the presence of structural defects. Despite a large number of experimental studies up to now it was not possible to attribute specific emission features to well identify defective structures. Here we address this fundamental question by adopting a theoretical and experimental approach combining few nanometer resolved cathodoluminescence techniques with high resolution transmission electron microscopy images and state of the art quantum mechanical simulations. Very recently, the Orsay team has developed a cathodoluminescence detection system integrated within a scanning transmission electron microscope. This unique experimental set up is now able to provide full emission spectra with a resolution as low as few tens of meV associated with an electron probe size of one nanometer. A cathodoluminescence hyper-spectral image can thus be recorded in parallel with an HAADF image. Nanometric resolved cathodoluminescence on few-layer chemically exfoliated h-BN crystals have shown that emission spectra are strongly inhomogeneous within individual flakes. Emission peaks close to the free exciton appear in extended regions. Complementary investigations through high resolution transmission electron microscopy allow to associate these emission lines with extended crystal deformation such as stacking faults and folds of the planes. By means of ab-initio calculations in the framework of Many Body Perturbation Theory (GW) approximation and Bethe-Salpeter equation) we provide an in-depth description of the electronic structure and spectroscopic response of bulk hexagonal boron nitride in the presence of extended morphological modifications. In particular we show that, in a good agreement with the experimental results, additional excitons are associated to local symmetry changes occurring at crystal stacking faults. These result will then be extended to faceted multiwalled BN nanotubes, they display additional emission at the same energy as characterized within the flakes.

In this work, we discuss a description of quantum properties of light beams produced by an Optical Parametric Oscillator (OPO) above threshold, pumped by a 780 nm Titanium Sapphire laser, resonant with the D2 line of Rb with a noise spectrum of a coherent beam. The twin beams have wavelengths around 1560nm, in the telecommunication band. The states emitted by the OPO under study are approximately Gaussian (1), which allows us to describe them in terms of first and second order moments. As we analyze the noise spectrum of the fluctuations of each beam, the first order moments are null, which allows us to describe the state of the system in terms of a covariance matrix. We present the behavior of the noise spectrum and the correlations between the reflected pump, signal and idler beams. In addition, we applied different entanglement criteria to study the system. We present a prediction of the bipartite entanglement using Duan criterion (2). For tripartite correlations, we use the Furusawa criterion (3). We performed a study of bipartition pump and sum quadrature. As well, we applied the PPT criterion (4) for continuous variables, independently transposing each beam under study. The PPT criterion is necessary and sufficient to demonstrate entanglement between bipartitions for Gaussian states. In order to explore the behavior of the system using the steering criterion in the model developed by Reid (5), we theoretically study the criterion of inference for bipartite quadratures: between the twin beams or between one of the twin beams and the pump beam. In addition, we analyzed the inference between the three modes, through the bipartition pump mode and combination of sum quadrature of the twin beams. We develop a quantum teleportation protocol of a coherent input state, composed by the Titanium Sapphire beam whose Bell measurement is performed using the pump reflected by the OPO as an entangled state for the signal and idler beams as a first possibility to implement the protocol. Furthermore, we propose a protocol in which the signal beam assists in the process of teleportation. Thus, the fidelity of the system increases and exceeds the limit of non-cloning. We will describe the first measurements of correlations between the beams emitted by the OPO for this system. The tripartite entanglement characterization is the first step in the implementation of quantum optical protocols using a source of entangled states that is compatible with both Rubidium atomic systems and the telecommunications region, thus forming a quantum network. / Nesse trabalho apresentamos uma descrição das propriedades quânticas dos feixes de luz produzidos por um Oscilador Paramétrico Ótico (OPO) acima do limiar, bombeado por um laser de Titânio Safira com comprimento de onda de 780nm, linha D2 do Rb, com espectro de ruído de um feixe coerente. Os feixes gêmeos possuem comprimentos de onda na região de 1560 nm que compreende a janela de transmissão de fibras óticas. Os estados emitidos pelo OPO em estudo são aproximadamente gaussianos (1), o que nos permite descrevê-los em termos de momentos de primeira e segunda ordem. Como analisamos o espectro de ruído das flutuações de cada feixe, os momentos de primeira ordem são nulos, o que nos permite descrever o estado do sistema em termos de uma matriz de covariância. Apresentamos então o comportamento do espectro de ruído e das correlações entre os feixes de bombeio refletido, sinal e complementar. Ademais, aplicamos diferentes critérios de emaranhamento para estudar o sistema. Apresentamos uma previsão do emaranhamento bipartido utilizando o critério de Duan (2). Para as correlações tripartidas, utilizamos o critério de Furusawa (3). Realizamos um estudo da bipartição bombeio e quadratura soma. E, aplicamos o critério PPT para variáveis contínuas (4), transpondo independente cada feixe em estudo. O critério PPT é necessário e suficiente para demonstrar emaranhamento entre bipartições para estados gaussianos. Com o objetivo de explorar qual o comportamento do sistema frente ao critério de \"steering\" no modelo desenvolvido por Reid (5), estudamos teoricamente o critério de inferência para quadraturas bipartidas: entre os feixes gêmeos ou entre um dos feixes gêmeos e o feixe de bombeio. Finalizamos essa análise caracterizando a inferência entre os três modos, através da bipartição modo do bombeio e combinação das quadraturas soma dos feixes gêmeos. Apresentamos a formulação de um protocolo de teletransporte quântico de um estado coerente de entrada formado pelo feixe do Titânio Safira, cuja medida de Bell é realizada utilizando o bombeio refletido pelo OPO como estado emaranhado para os feixes sinal e complementar, como uma primeira possibilidade de implementar o protocolo. Também propomos um protocolo em que o feixe sinal auxilia no processo de teleportação. Dessa forma, a fidelidade do sistema aumenta e supera o limite da não clonagem. Descreveremos as primeiras medidas de correlações entre os feixes emitidos pelo OPO para esse sistema. A caracterização de emaranhamento tripartido nessa nova configuração é o primeiro passo para a implementação de protocolos de ótica quântica utilizando uma fonte de estados emaranhados que é compatível tanto com sistemas atômicos de Rubídio quanto com a região de telecomunicações, formando assim uma rede quântica de transferência e aprisionamento de informação.

No presente trabalho, descrevemos a construção de um oscilador paramétrico ótico (OPO) com meio atômico de ganho de susceptibilidade X(3) , e a caracterização de seu limiar de oscilação. O processo base para a construção deste OPO é a Mistura de Quatro Ondas (4WM), que acontece em meios não lineares tipo X(3) , como é o caso dos isótopos de 85 Rb e 87 Rb. Realizou-se uma revisão da teoria atômica do rubídio, do 4WM e da teoria clássica do OPO. Obtivemos e caracterizamos o processo de 4WM em função de três parâmetros experimentais: a dessintonia do feixe de bombeio em relação ao pico do crossover da transição 5S 1/2 (F = 2)-> 5P 1/2 (F \' ) do 85 Rb na linha D 1 , da potência do bombeio e da temperatura da célula de rubídio. Encontrou-se uma ótima região de frequências em torno a Delta = 0.77GHz para a construção do OPO com os átomos de rubídio como meio não linear. Nesta região obteve-se uma amplificação máxima de 450% para o feixe de prova com absorção nula e uma intensidade do conjugado alta, para o feixe de prova com frequência Delta= w+ 3GHz (anti-Stokes). A elevada amplificação observada permite, em princípio, um limiar de oscilação menos abrupto: o surgimento de oscilação aparece de forma menos sensível a variações da potência de bombeio. Com efeito, para a dessintonia Delta = 0.38GHz o limiar é suave. A caracterização do 4WM e do limiar de oscilação do OPO é importante para a possível geração de estados não gaussianos. Um limiar suave permite, em princípio, operação e estudo muito próximo do limiar, região em que há previsões indicando a geração de estados não gaussianos que são relevantes para aplicações em informação quântica. / In the present work, we describe the construction of a optical parametric oscillator (OPO) with atomic gain medium with susceptibility X(3) and the caracterization of the oscilation threshold. The basic process for the construction of this OPO is the Four Wave Mixing (4WM), a process that takes place in nonlinear media type X (3) , as is the case of the isotopes of 85 Rb and 87 Rb. A review of the atomic theory of rubidium, 4WM and the classical theory of the OPO was carried out. The 4WM process was obtained and characterized as a function of three experimental parameters: the pump beam detunning with respect to the transition crossover peak 5S 1/2 (F = 2) ->5P 1/2 (F \' ) of 85 Rb D1 line, the pumping power and the temperature of the rubidium cell. A good region of frequencies around Delta= 0.77GHz was found for the construction of the OPO with the rubidium atoms as a non-linear medium. In this region, it was obtained a maximum amplification of 450% for the prove beam with zero absorption and a high intensity for the conjugate beam with frequency Delta= w+ 3GHz (anti-Stokes). The high observed amplification allows, in principle, an oscillation threshold less abrupt: the oscillation appears in a less sensitive way with variations in pumping power. In fact, for the detunning Delta= 0.38GHz the threshold is smooth. The characterization of the 4WM and oscillation threshold of the OPO is important for the possible generation of non-Gaussian states. A smooth threshold allows, in principle, operation and study very close to this region, where there is predictions indicating the generation of non-Gaussian states that are relevant for applications in quantum information.

Diese Doktorarbeit beschäftigt sich mit theoretischen Aspekten der Wellenleiterelektrodynamik (WQED), also mit der Wechselwirkung von Materie und Licht, welches nur in einer Dimension propagieren kann. Dieses Forschungsfeld erfreut sich seit seiner Entstehung in den 1990er Jahren wachsender Beliebtheit, der Grund hierfür sind die mannigfaltigen Anwendungsmöglichkeiten, beispielsweise bei der Konstruktion von Quantencomputern als auch von klassischen Computern. Auch Vorschläge für sogenannte Pump-Probe-Experimente auf der Basis der WQED sind Gegenstand der aktuellen Forschung.\\ All diese Gebiete sind darauf angewiesen, die zugrunde liegenden Prinzipien zu verstehen, diese Arbeit soll einen Beitrag dazu leisten. Hierzu haben wir einen Formalismus entwickelt, der auf Feynman-Diagrammen fußt. Das erste physikalische Modellsystem, welches hiermit untersucht wurde, besteht aus einem 1D-Wellenleiter und einem daran gekoppelten Zwei-Nievau-Atom (ZNA). Dies erlaubte uns, bekannte Rechnungen physikalisch transparenter und mathematisch kompakter zu reproduzieren und auf beliebige Disperisonsrelationen zu erweitern. Wir nachweisen, dass die Näherung einer linearen Dispersion in vielen Fällen unzureichend ist, um bestimmte interessante Effekte (beispielsweise gebundene Atom-Photon-Zustände) zu verstehen. Im zweiten Teil der Arbeit wurde das System um ein zweites ZNA erweitert, was zum Auftreten von Fluktuationskräften führt. Diese wurden anhand des Beispiels der Förster Energie untersucht, welche den strahlungsfreien Anteil des Energietransfers beschreibt. Es wurde nachgewiesen, dass dies für unser Modellsystem im Rahmen der RWA der einzig relevante Anteil ist und ausserdem nur für beschränkte Dispersionsrelationen existiert. Wir konnten zeigen, dass sowohl die Stärke als auch die Form der zugehörigen Potentiale stark vom Anfangszustand des Systems abhängt. Dies eröffnet interessante Perspektiven für die Erzeugung maßgeschneiderter Kraftprofile zwischen beiden Atomen. / This PhD Thesis deals with the theoretical aspects of the so called waveguide quantum electrodynamics (WQED). This part of physics deals with the interaction of matter and light which is confined to just one spatial dimension. This area of science experiences growing importance since its formation in the 1990s. The main reason for this are the diverse application possibilities such as the construction of quantum computers as well as classical computers on an optical basis. Furthermore pump-probe experiments using WQED are a promising direction of current research. All this topics are relying on a exact understanding of the underlying physical processes and this thesis shall make a contribution to this. For this purpose we developed a formalism, which relies on Feynman diagrams. The first model system which was investigated in this context consists of a 1D optical waveguide coupled to a two level system (TLS). We where able to reproduce many known results in a physically more transparent and mathematically more compact fashion. Furthermore we generalized this results to arbitrary dispersion relation and showed that the approximation of a linear dispersion is insufficient to describe many physical effects, like atom-photon bound states for example.\\ In the second part of this work we generalized the model system by adding an additional TLS, which supports the occurrence of fluctuation forces. Those where investigated in great detail at the example of the Förster energy, which describes the radiationless part of energy fluctuations. It was shown that this is the only relevant contribution as long as the RWA is valid and only occurs for bounded dispersion relations. We proved that the strength as well as the shape of the corresponding potential strongly depends on the initial state of the system, which opens interesting perspectives for the creation of tailored force profiles between both atoms. All calculations where done analytically as well as numerically.

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.