This thesis presents ab-initio quantum mechanical calculations at the density functional theory (DFT) level on defect centers hosted by crystalline systems of geologic importance (i.e. fluorite, quartz, stishovite). The research brings new, complementary data to the current understanding of defect structures in minerals and explores the advantages of a theoretical approach in the field of mineral spectroscopy. This present research presents the first ab-initio calculations of the O23- type defects in crystalline solids. New data on the electronic properties and structural characteristics of O23--Y3+ defect in fluorite-type structures (CaF2 and SrF2) were obtained at the DFT level. These results confirm the stability and the molecular character of the O23--Y3+ center, revealing a spin density that is equally distributed between the two oxygen atoms. Our results report an O-O bond distance of 2.47 Å in CaF2 and 2.57 Å in SrF2. The calculated 17O and 19F hyperfine constants for of the O23--Y3+ center are in good agreement with their corresponding experimental values reported by previous electron paramagnetic resonance (EPR) and electron nuclear double resonance (ENDOR) studies, while discrepancies are notable for the 89Y hyperfine constants and are probably attributable to an inadequate basis set for Y.<p> The present study provides a more complete picture of the coupled Al-M substitution for Si in quartz, while investigating the characteristics and electronic properties of the diamagnetic [AlO4/M+]0 (where M = H, Li, Na and K) defects. The diamagnetic [AlO4/M+(a<)]0 defects with M = H, Li and Na have been shown to be more stable than their [AlO4/M+(a>)]0 structural analogues (where a> and a< denote the location of the charge compensating ion on the long-bond and short-bond side, respectively), correctly predicting the common occurrence of paramagnetic [AlO4/M+(a>)]+ centers. The present study confirms previous suggestions that incorporation of the [AlO4/M+]0 defects results in significant structural relaxations that extend at least to the nearest Si atoms. The [AlO4/K+]0 defects have been investigated for the first time and are shown to be stable in quartz. The results of this study have implications for the uptake of Al in quartz.<p> The present research evaluates the structural models of [AlO4/Li] paramagnetic defects in α-quartz. The results confirm the previous experimental findings and propose an additional paramagnetic defect [AlO4/Li+(csmall)]+, with the unpaired electron located on a short-bonded O atom and the Li compensator just off the edge of the small channel. Accordingly we suggest that three distinct Al-Li paramagnetic defects can be can be found in quartz, two of them having the hole located on a short-bonded O and one trapping the hole on a long-bonded O atom. However the structural similarities with the [AlO4/Li+(a>)]+ defect would require detection and measurement of the 17O hyperfine structure for an unequivocal EPR identification.<p> The present work also reports on first-principles quantum-mechanical calculations on the previously proposed [O23--Al3+] defect in stishovite. Our results show that the unpaired spin is 85% localised on one of the six oxygen atoms at an AlO6 octahedron, while the calculated 27Al hyperfine constants are similar to those determined by EPR experiments. Accordingly we propose the Al center to represent an [AlO6]0 defect, and hole hoping among equivalent oxygen atoms is responsible for its detection only at cryogenic temperatures. Theoretical calculations also show that diamagnetic precursors [AlO6/H+]0, [AlO6/Li+]0 and [AlO6/Na+]0 are stable in stishovite. The calculated OH bond distance and orientation are in excellent agreement with those inferred from FTIR spectra and previous theoretical calculations. The calculated [AlO6/Li+]0 and [AlO6/Na+]0 defects suggest that monovalent cations such as Li+ and Na+ are potentially important in accommodating Al in stishovite in the lower mantle.

This thesis presents ab-initio quantum mechanical calculations at the density functional theory (DFT) level on defect centers hosted by crystalline systems of geologic importance (i.e. fluorite, quartz, stishovite). The research brings new, complementary data to the current understanding of defect structures in minerals and explores the advantages of a theoretical approach in the field of mineral spectroscopy. This present research presents the first ab-initio calculations of the O23- type defects in crystalline solids. New data on the electronic properties and structural characteristics of O23--Y3+ defect in fluorite-type structures (CaF2 and SrF2) were obtained at the DFT level. These results confirm the stability and the molecular character of the O23--Y3+ center, revealing a spin density that is equally distributed between the two oxygen atoms. Our results report an O-O bond distance of 2.47 Å in CaF2 and 2.57 Å in SrF2. The calculated 17O and 19F hyperfine constants for of the O23--Y3+ center are in good agreement with their corresponding experimental values reported by previous electron paramagnetic resonance (EPR) and electron nuclear double resonance (ENDOR) studies, while discrepancies are notable for the 89Y hyperfine constants and are probably attributable to an inadequate basis set for Y.<p> The present study provides a more complete picture of the coupled Al-M substitution for Si in quartz, while investigating the characteristics and electronic properties of the diamagnetic [AlO4/M+]0 (where M = H, Li, Na and K) defects. The diamagnetic [AlO4/M+(a<)]0 defects with M = H, Li and Na have been shown to be more stable than their [AlO4/M+(a>)]0 structural analogues (where a> and a< denote the location of the charge compensating ion on the long-bond and short-bond side, respectively), correctly predicting the common occurrence of paramagnetic [AlO4/M+(a>)]+ centers. The present study confirms previous suggestions that incorporation of the [AlO4/M+]0 defects results in significant structural relaxations that extend at least to the nearest Si atoms. The [AlO4/K+]0 defects have been investigated for the first time and are shown to be stable in quartz. The results of this study have implications for the uptake of Al in quartz.<p> The present research evaluates the structural models of [AlO4/Li] paramagnetic defects in α-quartz. The results confirm the previous experimental findings and propose an additional paramagnetic defect [AlO4/Li+(csmall)]+, with the unpaired electron located on a short-bonded O atom and the Li compensator just off the edge of the small channel. Accordingly we suggest that three distinct Al-Li paramagnetic defects can be can be found in quartz, two of them having the hole located on a short-bonded O and one trapping the hole on a long-bonded O atom. However the structural similarities with the [AlO4/Li+(a>)]+ defect would require detection and measurement of the 17O hyperfine structure for an unequivocal EPR identification.<p> The present work also reports on first-principles quantum-mechanical calculations on the previously proposed [O23--Al3+] defect in stishovite. Our results show that the unpaired spin is 85% localised on one of the six oxygen atoms at an AlO6 octahedron, while the calculated 27Al hyperfine constants are similar to those determined by EPR experiments. Accordingly we propose the Al center to represent an [AlO6]0 defect, and hole hoping among equivalent oxygen atoms is responsible for its detection only at cryogenic temperatures. Theoretical calculations also show that diamagnetic precursors [AlO6/H+]0, [AlO6/Li+]0 and [AlO6/Na+]0 are stable in stishovite. The calculated OH bond distance and orientation are in excellent agreement with those inferred from FTIR spectra and previous theoretical calculations. The calculated [AlO6/Li+]0 and [AlO6/Na+]0 defects suggest that monovalent cations such as Li+ and Na+ are potentially important in accommodating Al in stishovite in the lower mantle.

To summarize this entire thesis, MW-assisted spectroscopy has been proposed as a promising approach to investigate the optical properties of VSi and VV spin defects in 4H- and 6H-SiC. The MW-assisted spectroscopy has enabled to separate the spectrally overlapped contribution of different types of defects. From a PL spectrum containing no overlapping spectral contributions of other defects, the local vibrational mode of all measured VSi and VV in 4H- and 6H-SiC has been found along with the phonon energy and DW factor. The interaction of local vibrational modes with point defects has allowed to understand the spin, optical, mechanical, and thermal properties of these defects. In the investigation of V2 in 4H-SiC, a perfect agreement between the experimental data and theoretical calculation have been obtained. The MW-assisted spectra measured at different resonant frequencies associated with the same defect have been found to reveal the same vibrational mode and DW factor. Furthermore, some new ODMR lines to certain defects have been assigned, which have never been reported before. From the investigation of the V2 VSi in 6H-SiC, it has been found that the temperature does not have a clear influence on the DW factor, but high-fluence electron irradiation has been shown to decrease the DW factor. In the polarization investigation, it has been found that in 6H-SiC, V1 possesses no polarization, V2 shows a strong E||c-axis polarization, while V3 exhibits a strong E⊥c-axis polarization. It has also been demonstrated that the temperature and the orientation of the excitation laser have no influence on the photon polarization. In short, this thesis has demonstrated that MW-assisted spectroscopy is a powerful technique to investigate a large number of spin defects in wide-bandgap semiconducting materials.

In dieser Arbeit werden einzelne atomare Defekte in hexagonalem Bornitrid (hBN) charakterisiert und mögliche Anwendungen aufgezeigt, welche die gefundenen herausragenden optischen Eigenschaften ausnutzen. Solche optisch aktiven Punktdefekte in Halbleitern bergen das Versprechen von skalierbaren und stabilen Einzelphotonenquellen, welche für eine Vielzahl von zukünftigen Anwendungen im Bereich der Quanteninformationstechnologie oder für Präzisionsmessungen benötigt werden. Dementsprechend groß ist das Interesse der Wissenschaftsgemeinde, was sich auch in der Anzahl der untersuchten Defektsysteme widerspiegelt. Das Besondere an dem hier vorliegenden System ist zum einen die Zweidimensonalität des Halbleiter-Wirtskristalls und zum anderen die enorme Helligkeit des Emitters, welche sich in bis zu sechs Millionen mit einem Mikroskop detektierten Photonen pro Sekunde niederschlägt. Darüber hinaus motivieren die Stabilität des Emitters bei Raumtemperatur und die schmale spektrale Linienbreite eine tiefgreifende Analyse dieses Neuzugangs zum Emitterzoo. / In this thesis, single atomic defects in hexagonal boron nitride (hBN) are characterized and possible applications are shown, which take advantage of the outstanding optical properties found. Such optically active point defects in semiconductors hold the promise of scalable and stable single-photon sources, which are needed for a variety of future applications in quantum information technology or for precision measurements. The interest of the scientific community is correspondingly high, which is also reflected in the number of defect systems investigated. The special feature of the system presented here is on the one hand the two-dimensionality of the semiconductor host crystal and on the other hand the enormous brightness of the emitter, which is reflected in up to six million photons per second detected with a microscope. In addition, the stability of the emitter at room temperature and the narrow spectral width motivate a profound analysis of this new addition to the emitter zoo.

Vidros teluritos são considerados fortes candidatos para aplicações em lasers e óptica não linear devido a importantes características, como o elevado índice de refração, baixa energia de fônons, baixa temperatura de transição vítrea e sua fácil preparação. Neste trabalho foram produzidas amostras dos sistemas vítreos TeO2- ZnO-Na2O, TeO2-Nb2O5-Na2O e Te2O-Na2O incluindo ou não dopagens de AgNO3 para estudos estruturais e ópticos. As propriedades estruturais e os mecanismos de recombinação destes vidros foram estudados por meio das técnicas de ressonância paramagnética eletrônica, termoluminescência e correntes de despolarização termicamente estimuladas. Já as propriedades ópticas como o coeficiente de absorção linear, índice de refração linear e não linear foram estudadas por meio das técnicas de absorção óptica, acoplamento de prismas e varredura Z. Foram ainda desenvolvidos estudos da precipitação de nanopartículas de prata para o sistema TeO2-ZnO-Na2O com dopagens de AgNO3 com diferentes temperaturas de tratamento térmico. A caracterização das nanopartículas metálicas foi realizada por meio da técnica de absorção óptica auxiliada por microscopia eletrônica de transmissão e espectrometria de energia dispersiva. Foram observadas por ressonância paramagnética eletrônica quatro respostas paramagnéticas dos vidros irradiados com raio , sendo uma de natureza desconhecida e as outras três identificadas como g¹, g² e g³ atribuídas respectivamente ao centro de buraco do telúrio e do oxigênio, centro de buraco do oxigênio terminal e centro de elétron do telúrio. Foi proposto ainda um modelo para explicar os mecanismos de formação destes centros. A partir dos resultados de termoluminescência observou-se que os processos de recombinação destes centros de defeitos são não radioativos. Neste projeto foram estudados pela primeira vez na literatura os fenômenos de polarização e despolarização em vidros teluritos, com e sem irradiação gama, por meio da técnica de correntes de despolarização termicamente estimuladas. Quanto às propriedades ópticas, foi investigada a influência da adição de prata dos sistemas vítreos TeO2-ZnO-Na2O e TeO2-Nb2O5-Na2O em relação à energia do gap, a cauda de Urbach, índice de refração linear e não linear.Nos resultados de varredura Z do sistema vítreo TeO2-Nb2O5-Na2O foi observado o aumento da assimetria na curva com aumento da adição de AgNO3 Este fenômeno foi explicado por meio de uma adaptação do modelo de Sumi para processos não radiativos, responsáveis pelo aumento do caráter térmico do índice de refração não linear. Por fim um modelo foi criado para explicar a precipitação de nanopartículas de prata na matriz vítrea TeO2-ZnO-Na2O mediante tratamento térmico. / Tellurite glasses are considered powerful candidates for applications in lasers and nonlinear optics due to their important properties such as high refractive index, low phonon energy, relatively low glass transition temperature and easy glass production at room atmosphere. In this work glass samples of the systems ZnO-Na2O, TeO2-Nb2O5-Na2O and Te2O-Na2O were produced, including or not the AgNO3 doping for the structural and optical study purposes. The structural properties and the recombination mechanisms of these glasses were studied by means of the techniques of electron paramagnetic resonance, thermoluminescence and thermally stimulated depolarization currents. The optical properties such as the optical linear absorption coefficient, linear and nonlinear refractive index were studied by means of the optical absorption techniques, prism coupling and Z-scan. Further studies were developed on the precipitation of silver nanoparticles embedded in the glass system TeO2-ZnO-Na2O doped with AgNO3, by means of thermal treatments at different temperatures. The characterization of the metallic nanoparticles was carried out by optical absorption aided by transmission electron microscopy and dispersive energy spectroscopy. Four paramagnetic responses were observed by electron paramagnetic resonance of the -irradiated glasses, one not yet identified and the other three identified as g0, g1 and g3 attributed respectively to the tellurium-oxygen hole center, non-bridging oxygen hole center and tellurium electron center. A model to explain the formation mechanisms of these centers was proposed. The thermoluminescence results indicated that the recombination processes of these centers are non-radiative. This is the first study that deals with polarization and depolarization phenomena in tellurite glasses with and without gamma irradiation, by the technique of thermally stimulated depolarization currents. In what regards the optical properties of the glass systems TeO2-ZnONa2O and TeO2-Nb2O5-Na2O, the effect of the silver doping on the gap energy, Urbach tail, linear and nonlinear refractive indices were investigated. Through the Z-scan technique results of the glass system TeO2-Nb2O5-Na2O, an increasing asymmetry of the curve, with increasing AgNO3 content was observed. This phenomenon was explained through an adaptation of Sumi´s model for non-radiative processes, applied to a silver doped insulating glass, to explain the thermal character of the nonlinear refractive index. Finally, a model was developed to explain the silver nanoparticles precipitation in the TeO2-ZnO-Na2O glass matrix submitted to thermal treatment.

In dieser Doktorarbeit werden zwei Konzepte der Quanteninformationsverarbeitung realisiert. Der Quantenschlüsselaustausch ist revolutionär, weil er perfekte Sicherheit gewährleistet. Zahlreiche Quantenkryptografieprotokolle wurden schon untersucht. Zwei Probleme bestehen. Zum einen ist es sehr schwer, die Bedingungen herzustellen, die in den Annahmen für perfekte Sicherheit impliziert sind. Zum anderen sind die Reichweiten auf momentan etwa 200 km begrenzt, aufgrund des abnehmenden Signals gegenüber des konstanten Rauschens. Ein Experiment dieser Doktorarbeit beschäftigt sich mit dem ersten Problem. Insbesondere der übertragene Quantenzustands ist kritisch für die Sicherheit des Verfahrens. Es werden Einzelphotonen von Stickstoff- Fehlstellen-Zentren und zum ersten Mal von Silizium-Fehlstellen-Zentren für einen Quantenschlüsselaustausch mit Hilfe des BB84-Protokolls benutzt. Die Abweichung von idealen Einzelphotonenzuständen sowie deren Bedeutung für die Sicherheit werden analysiert. Die Übertragung von Quantenzuständen via Satellit könnte das Problem der begrenzten Reichweite lösen. Das neue Frequenz-Zeit- Protokoll eignet sich dafür besonders gut. Es wird während dieser Arbeit zum ersten Mal überhaupt implementiert. Umfangreiche Untersuchungen inklusive der Variation wesentlicher experimenteller Parameter geben Aufschluss über die Leistungsfähigkeit und Sicherheit des Protokolls. Außerdem werden elementare Bestandteile eines vollautomatischen Experiments zum Quantenschlüsselaustausch über Glasfasern in der sogenannten Time-bin-Implementierung mit autonomem Sender und Empfänger realisiert. Ein anderes Konzept der Quanteninformationsverarbeitung ist die Herstellung zufälliger Bitfolgen durch den Quantenzufall. Zufällige Bitfolgen haben zahlreiche Anwendungsgebiete in der Kryptografie und der Informatik. Die Realisierung eines Quantenzufallszahlengenerators mit mathematisch beschreibbarer und getesteter Zufälligkeit und hoher Bitrate wird ebenfalls beschrieben. / In this thesis, photonic quantum states are used for experimental realisations of two different concepts of quantum information processing. Quantum key distribution (QKD) is revolutionary because it is the only cryptographic scheme offering unconditional security. Two major problems prevail: Firstly, matching the conditions for unconditional security is challenging, secondly, long distance communication beyond 200 km is very demanding because an increasingly attenuated quantum state starts to fail the competition with constant noise. One experiment accomplished in this thesis is concerned with the first problem. The realisation of the actual quantum state is critical. Single photon states from nitrogen and for the first time also silicon vacancy defect centres are used for a QKD transmission under the BB84 (Bennett and Brassard 1984). The deviation of the used single photon states from the ideal state is thoroughly investigated and the information an eavesdropper obtains due to this deviation is analysed. Transmitting quantum states via satellites is a potential solution to the limited achievable distances in QKD. A novel protocol particularly suited for this is implemented for the first time in this thesis, the frequency-time (FT) protocol. The protocol is thoroughly investigated by varying the experimental parameters over a wide range and by evaluating the impact on the performance and the security. Finally, big steps towards a fully automated fibre-based BB84 QKD experiment in the time-bin implementation with autonomous sender and receiver units are accomplished. Another important concept using quantum mechanical properties as a resource is a quantum random number generator (QRNG). Random numbers are used for various applications in computing and cryptography. A QRNG supplying bits with high and quantifiable randomness at a record-breaking rate is reported and the statistical properties of the random output is thoroughly tested.

Vidros teluritos são considerados fortes candidatos para aplicações em lasers e óptica não linear devido a importantes características, como o elevado índice de refração, baixa energia de fônons, baixa temperatura de transição vítrea e sua fácil preparação. Neste trabalho foram produzidas amostras dos sistemas vítreos TeO2- ZnO-Na2O, TeO2-Nb2O5-Na2O e Te2O-Na2O incluindo ou não dopagens de AgNO3 para estudos estruturais e ópticos. As propriedades estruturais e os mecanismos de recombinação destes vidros foram estudados por meio das técnicas de ressonância paramagnética eletrônica, termoluminescência e correntes de despolarização termicamente estimuladas. Já as propriedades ópticas como o coeficiente de absorção linear, índice de refração linear e não linear foram estudadas por meio das técnicas de absorção óptica, acoplamento de prismas e varredura Z. Foram ainda desenvolvidos estudos da precipitação de nanopartículas de prata para o sistema TeO2-ZnO-Na2O com dopagens de AgNO3 com diferentes temperaturas de tratamento térmico. A caracterização das nanopartículas metálicas foi realizada por meio da técnica de absorção óptica auxiliada por microscopia eletrônica de transmissão e espectrometria de energia dispersiva. Foram observadas por ressonância paramagnética eletrônica quatro respostas paramagnéticas dos vidros irradiados com raio , sendo uma de natureza desconhecida e as outras três identificadas como g¹, g² e g³ atribuídas respectivamente ao centro de buraco do telúrio e do oxigênio, centro de buraco do oxigênio terminal e centro de elétron do telúrio. Foi proposto ainda um modelo para explicar os mecanismos de formação destes centros. A partir dos resultados de termoluminescência observou-se que os processos de recombinação destes centros de defeitos são não radioativos. Neste projeto foram estudados pela primeira vez na literatura os fenômenos de polarização e despolarização em vidros teluritos, com e sem irradiação gama, por meio da técnica de correntes de despolarização termicamente estimuladas. Quanto às propriedades ópticas, foi investigada a influência da adição de prata dos sistemas vítreos TeO2-ZnO-Na2O e TeO2-Nb2O5-Na2O em relação à energia do gap, a cauda de Urbach, índice de refração linear e não linear.Nos resultados de varredura Z do sistema vítreo TeO2-Nb2O5-Na2O foi observado o aumento da assimetria na curva com aumento da adição de AgNO3 Este fenômeno foi explicado por meio de uma adaptação do modelo de Sumi para processos não radiativos, responsáveis pelo aumento do caráter térmico do índice de refração não linear. Por fim um modelo foi criado para explicar a precipitação de nanopartículas de prata na matriz vítrea TeO2-ZnO-Na2O mediante tratamento térmico. / Tellurite glasses are considered powerful candidates for applications in lasers and nonlinear optics due to their important properties such as high refractive index, low phonon energy, relatively low glass transition temperature and easy glass production at room atmosphere. In this work glass samples of the systems ZnO-Na2O, TeO2-Nb2O5-Na2O and Te2O-Na2O were produced, including or not the AgNO3 doping for the structural and optical study purposes. The structural properties and the recombination mechanisms of these glasses were studied by means of the techniques of electron paramagnetic resonance, thermoluminescence and thermally stimulated depolarization currents. The optical properties such as the optical linear absorption coefficient, linear and nonlinear refractive index were studied by means of the optical absorption techniques, prism coupling and Z-scan. Further studies were developed on the precipitation of silver nanoparticles embedded in the glass system TeO2-ZnO-Na2O doped with AgNO3, by means of thermal treatments at different temperatures. The characterization of the metallic nanoparticles was carried out by optical absorption aided by transmission electron microscopy and dispersive energy spectroscopy. Four paramagnetic responses were observed by electron paramagnetic resonance of the -irradiated glasses, one not yet identified and the other three identified as g0, g1 and g3 attributed respectively to the tellurium-oxygen hole center, non-bridging oxygen hole center and tellurium electron center. A model to explain the formation mechanisms of these centers was proposed. The thermoluminescence results indicated that the recombination processes of these centers are non-radiative. This is the first study that deals with polarization and depolarization phenomena in tellurite glasses with and without gamma irradiation, by the technique of thermally stimulated depolarization currents. In what regards the optical properties of the glass systems TeO2-ZnONa2O and TeO2-Nb2O5-Na2O, the effect of the silver doping on the gap energy, Urbach tail, linear and nonlinear refractive indices were investigated. Through the Z-scan technique results of the glass system TeO2-Nb2O5-Na2O, an increasing asymmetry of the curve, with increasing AgNO3 content was observed. This phenomenon was explained through an adaptation of Sumi´s model for non-radiative processes, applied to a silver doped insulating glass, to explain the thermal character of the nonlinear refractive index. Finally, a model was developed to explain the silver nanoparticles precipitation in the TeO2-ZnO-Na2O glass matrix submitted to thermal treatment.