Im ersten Teil dieser Arbeit wird die zeitliche Korrelation von Photonen untersucht, welche durch parametrischer Fluoreszenz in einem nichtlinearen Medium innerhalb eines Resonators erzeugt werden. Dafür wird eine komplette theoretische Beschreibung hergeleitet, welche die zeitlichen Korrelationen zwischen signal-idler, signal-signal und signal-signal-idler Photonen mittels spektraler Eigenschaften der Photonenquelle beschreibt. Damit lässt sich der Einfluss des Resonators auf die zeitlichen Korrelationen bestimmen. Passende experimentelle Messungen werden präzise durch diese Theorie beschrieben, wodurch diese bestätigt werden konnte. Im zweiten Teil dieser Arbeit wird erstmalig die Austauschphase von Photonen direkt gemessen. Um die Austauschphase in einer direkten Messung zu bestimmen, muss der ursprüngliche Zwei-Photonen-Zustand mit seinem permutierten Zustand interferieren. Für die experimentelle Umsetzung wird ein neues spezielles Interferometer benötigt, welches hier vorgestellt und charakterisiert wird. Mithilfe der durchgeführten Experimente konnten die bosonischen Eigenschaften von Photonen nachgewiesen und eine untere Grenze für eine direkt gemessen Austauschphase festgelegt werden. Der letzte Teil dieser Arbeit untersucht Frequenzkonversion in nichtlinearen Medien. Durch die Verwendung mehrere Kornversionsschritte ist es z.B. möglich die Erzeugung von Rauschphotonen bei bestimmten Zielwellenlänge zu verhindern. Hier wird eine Möglichkeit vorgestellt bei der mehrere Kornversionsschritte innerhalb eines nichtlinearen Kristalls realisiert werden, indem der Kristall lokal verschieden temperiert wird. Die Durchführbarkeit dieser Technik wurde theoretisch untersucht und experimentell bestätigt. Weitere Anwendungsmöglichkeiten werden ausführlich diskutiert. / The first part of this thesis investigates the temporal correlation of photons, generated in a spontaneous parametric down-conversion process inside of a nonlinear crystal, which is placed in a resonator to enhance specific emission lines. However, the cavity influences the temporal correlation of the photons, which is crucial for most applications. This thesis derives a complete theory to describe the temporal correlations of signal-idler, signal-signal and signal-signal-idler photons using the spectral properties of the photon source. The derived theoretical description precisely predicts the experimental measurements, which were performed to verify the theory. In the second part the exchange phase of photon is measured directly for the first time. Directly, this can only be verified experimentally by interference between the two-photon state and its permuted form. Here a new interferometer technique is introduced to directly determine the photon exchange phase. The experimental results provide evidence of the bosonic nature of photons and state a lower bound for a directly measured exchange phase of photons. The last part deals with frequency conversion in nonlinear materials. Depending on the wavelengths involved, the conversion processes introduce noise at the target wavelength, which is critical at the single photon level. Then multiple conversion steps are required for a low noise frequency conversion. We present an approach to realize multiple conversion steps with a single nonlinear crystal by applying different local temperatures to that nonlinear crystal. The feasibility of that approach is confirmed experimentally and further possible applications are considered.

In den letzten Jahren dominierten elektronikbasierte künstliche neuronale Netzwerke (KNN) die Computertechnik. Mit zunehmender Komplexität der Aufgaben stoßen konventionelle elektronische Architekturen jedoch an ihre Grenzen. Optische Ansätze bieten daher Lösungen durch analoge Berechnungen unter Verwendung von Materialien, die optische Signale zur synaptischen Plastizität steuern. Diese Studie untersucht daher die synaptischen Funktionen von photo- und elektrochrome Materialien für KNN. Das Modulationsverhalten des Moleküls Diarylethen (DAE) auf Oberflächenplasmonen wird in der Kretschmann-Konfiguration untersucht. Optische Impulsfolgen ermöglichen synaptische Plastizität wie Langzeitpotenzierung und -depression. DAE-Modulation und Informationsübertragung bei unterschiedlichen Wellenlängen ermöglichen simultane Lese- und Schreibvorgänge und demonstrieren die nichtflüchtige Informationsspeicherung in plasmonischen Wellenleitern. Die Integration von DAE in einem Y-Wellenleiter bildet somit ein vollständig optisches neuronales 2x1-Netzwerk. Synaptische Funktionen, die sich in DAE-Schaltvorgängen widerspiegeln, können somit in der Wellenleiterübertragung angewendet werden. Das Netzwerktraining für Logikgatter wird durch Gradientenverfahren erreicht, um UND- oder ODER-Funktionen auszuführen. Elektrochrome Materialien in Wellenleitern ermöglichen optoelektronische Modulation. Die Kombination von gelartigem Polymer-Elektrolyt PS-PMMA-PS:[EMIM][TFSI] mit PEDOT:PSS ermöglicht eine elektrisch-gesteuerte Absorptionsmodulation. Eine binäre komplementäre Steuerung von Übertragungen und somit auch optisches Multiplexing in Y-Wellenleitern können dadurch demonstriert werden. Der feste Polymer-Elektrolyt PEG:NaOtf ermöglicht eine optische Signalmodulation für neuromorphes Computing. Mithilfe von analog gesteuertes Gradientenverfahren kann daher in einem Y-Wellenleiter lineare Klassifikation, ohne die Verwendung von zusätzlichen Speicher- oder Prozesseinheiten, antrainiert werden. / In recent years, electronic-based artificial neural networks (ANNs) have been dominant in computer engineering. However, as tasks grow complex, conventional electronic architectures reach their limits. Optical approaches therefore offer solutions through analog calculations using materials controlling optical signals for synaptic plasticity. This study explores photo- and electrochromic materials for synaptic functions in ANNs. The switching behavior of the molecule diarylethene (DAE) affecting Surface Plasmon Polaritons (SPPs) is studied in the Kretschmann configuration. Optical pulse sequences enable synaptic plasticity like long-term potentiation and depression. DAE modulation and information transfer at distinct wavelengths allow simultaneous read and write processes, demonstrating non-volatile information storage in plasmonic waveguides. DAE integration into Y-branch waveguides forms full-optical neural 2x1 networks. Synaptic functions, reflected in DAE switching, can be thus applied in waveguide transmission. Network training for logic gates is achieved using gradient descent method to adapt AND or OR gate functions based on the learning set. Electrochromic materials in waveguides enable optoelectronic modulation. Combining gel-like polymer electrolyte PS-PMMA-PS:[EMIM][TFSI] with PEDOT:PSS allows electrical modulation, demonstrating binary complementary control of transmissions and optical multiplexing in Y-branch waveguides. The solid polymer electrolyte PEG:NaOtf enables optical signal modulation for neuromorphic computing, thereby facilitating the adaptation of linear classification in Y-branch waveguides without the need for additional storage or processing units.

This work is devoted to investigate light confinement in rolled-up microtubular cavities and their optofluidic applications. The microcavities are fabricated by a roll-up mechanism based on releasing pre-strained silicon-oxide nanomembranes. By defining the shape and thickness of the nanomembranes, the geometrical tube structure is well controlled. Micro-photoluminescence spectroscopy at room temperature is employed to study the optical modes and their dependence on the structural characteristics of the microtubes. Finite-difference-time-domain simulations are performed to elucidate the experimental results. In addition, a theoretical model (based on a wave description) is applied to describe the optical modes in the tubular microcavities, supporting quantitatively and qualitatively the experimental findings. Precise spectral tuning of the optical modes is achieved by two post-fabrication methods. One method employs conformal coating of the tube wall with Al2O3 monolayers by atomic-layer-deposition, which permits a mode tuning over a wide spectral range (larger than one free-spectral-range). An average mode tuning to longer wavelengths of 0.11nm/ Al2O3-monolayer is obtained. The other method consists in asymmetric material deposition onto the tube surface. Besides the possibility of mode tuning, this method permits to detect small shape deformations (at the nanometer scale) of an optical microcavity. Controlled confinement of resonant light is demonstrated by using an asymmetric cone-like microtube, which is fabricated by unevenly rolling-up circular-shaped nanomembranes. Localized three-dimensional optical modes are obtained due to an axial confinement mechanism that is defined by the variation of the tube radius and wall windings along the tube axis. Optofluidic functions of the rolled-up microtubes are explored by immersing the tubes or filling their core with a liquid medium. Refractive index sensing of liquids is demonstrated by correlating spectral shift of the optical modes when a liquid interacts with the resonant light of the microtube. In addition, a novel sensing methodology is proposed by monitoring axial mode spacing changes. Lab-on-a-chip methods are employed to fabricate an optofluidic chip device, allowing a high degree of liquid handling. A maximum sensitivity of 880 nm/refractive-index-unit is achieved. The developed optofluidic sensors show high potential for lab-on-a-chip applications, such as real-time bio/chemical analytic systems.

Vertically rolled-up microcavities are fabricated using differentially strained nanomembranes by employing rate and temperature gradients during electron beam evaporation of SiO2. The geometry of the rolled-up tubes is defined by a photo-lithographically patterned polymer sacrificial layer beneath the SiO2 layers that is dissolved to start the rolling. Rolled-up tubes support resonances formed by constructive interference of light propagating along the circumference. Optical studies are performed in the visible spectral range using a micro-photoluminescence (µPL) setup to excite and detect optical modes. Record high quality factors (Q factors) of 5400 for rolled-up resonators probed in PL-emission mode are found and their limits are theoretically investigated. Axial modes can also be supported when an increased winding number in the center is realized by appropriate pattern designs. In addition, higher order radial modes can be confined when atomic layer deposition (ALD) coatings are applied. Both types of modes are identified using polarization and spatially resolved µPL maps. Evanescent-wave coupling by tapered fibers and tubes on substrates is the second method used to study light confinement and to demonstrate frequency filtering in ALD coated rolled-up microcavities. Scans are performed by monitoring light from a tunable laser in the range of 1520-1570 nm after transmission through the tapered fiber. Dips in the spectrum are found and attributed to fundamental and axial resonant modes. Moreover, by coupling two tapered fibers to a lifted rolled-up microcavity, a four-port add-drop filter is demonstrated as a future component for vertical resonant light transfer in on-chip optical networks. Simulations show that the subwavelength tube wall thickness limits the Q factor at infrared wavelengths and ALD coatings are necessary to enhance the light confinement. After coating, two linear polarization states are found in experiment and fundamental and axial modes can be selectively excited by coupling the fiber to different positions along the tube axis. Spatially and polarization resolved transmission maps reveal a polarization dependent axial mode distribution which is verified theoretically. The results of this thesis are important for lab-on-chip applications where rolled-up microcavities are employed as high resolution optofluidic sensors as well as for future uses as waveguide coupled components in three-dimensional multi-level optical data processing units to provide resonant interlayer signal transfer.

Vertically rolled-up microcavities are fabricated using differentially strained nanomembranes by employing rate and temperature gradients during electron beam evaporation of SiO2. The geometry of the rolled-up tubes is defined by a photo-lithographically patterned polymer sacrificial layer beneath the SiO2 layers that is dissolved to start the rolling. Rolled-up tubes support resonances formed by constructive interference of light propagating along the circumference. Optical studies are performed in the visible spectral range using a micro-photoluminescence (µPL) setup to excite and detect optical modes. Record high quality factors (Q factors) of 5400 for rolled-up resonators probed in PL-emission mode are found and their limits are theoretically investigated. Axial modes can also be supported when an increased winding number in the center is realized by appropriate pattern designs. In addition, higher order radial modes can be confined when atomic layer deposition (ALD) coatings are applied. Both types of modes are identified using polarization and spatially resolved µPL maps. Evanescent-wave coupling by tapered fibers and tubes on substrates is the second method used to study light confinement and to demonstrate frequency filtering in ALD coated rolled-up microcavities. Scans are performed by monitoring light from a tunable laser in the range of 1520-1570 nm after transmission through the tapered fiber. Dips in the spectrum are found and attributed to fundamental and axial resonant modes. Moreover, by coupling two tapered fibers to a lifted rolled-up microcavity, a four-port add-drop filter is demonstrated as a future component for vertical resonant light transfer in on-chip optical networks. Simulations show that the subwavelength tube wall thickness limits the Q factor at infrared wavelengths and ALD coatings are necessary to enhance the light confinement. After coating, two linear polarization states are found in experiment and fundamental and axial modes can be selectively excited by coupling the fiber to different positions along the tube axis. Spatially and polarization resolved transmission maps reveal a polarization dependent axial mode distribution which is verified theoretically. The results of this thesis are important for lab-on-chip applications where rolled-up microcavities are employed as high resolution optofluidic sensors as well as for future uses as waveguide coupled components in three-dimensional multi-level optical data processing units to provide resonant interlayer signal transfer.

This work is devoted to investigate light confinement in rolled-up microtubular cavities and their optofluidic applications. The microcavities are fabricated by a roll-up mechanism based on releasing pre-strained silicon-oxide nanomembranes. By defining the shape and thickness of the nanomembranes, the geometrical tube structure is well controlled. Micro-photoluminescence spectroscopy at room temperature is employed to study the optical modes and their dependence on the structural characteristics of the microtubes. Finite-difference-time-domain simulations are performed to elucidate the experimental results. In addition, a theoretical model (based on a wave description) is applied to describe the optical modes in the tubular microcavities, supporting quantitatively and qualitatively the experimental findings. Precise spectral tuning of the optical modes is achieved by two post-fabrication methods. One method employs conformal coating of the tube wall with Al2O3 monolayers by atomic-layer-deposition, which permits a mode tuning over a wide spectral range (larger than one free-spectral-range). An average mode tuning to longer wavelengths of 0.11nm/ Al2O3-monolayer is obtained. The other method consists in asymmetric material deposition onto the tube surface. Besides the possibility of mode tuning, this method permits to detect small shape deformations (at the nanometer scale) of an optical microcavity. Controlled confinement of resonant light is demonstrated by using an asymmetric cone-like microtube, which is fabricated by unevenly rolling-up circular-shaped nanomembranes. Localized three-dimensional optical modes are obtained due to an axial confinement mechanism that is defined by the variation of the tube radius and wall windings along the tube axis. Optofluidic functions of the rolled-up microtubes are explored by immersing the tubes or filling their core with a liquid medium. Refractive index sensing of liquids is demonstrated by correlating spectral shift of the optical modes when a liquid interacts with the resonant light of the microtube. In addition, a novel sensing methodology is proposed by monitoring axial mode spacing changes. Lab-on-a-chip methods are employed to fabricate an optofluidic chip device, allowing a high degree of liquid handling. A maximum sensitivity of 880 nm/refractive-index-unit is achieved. The developed optofluidic sensors show high potential for lab-on-a-chip applications, such as real-time bio/chemical analytic systems.

The work provides an overview of different integrated optical amplifiers. Semiconductor optical amplifiers and fiber amplifiers are described, as well as devices that utilize non-linear effects, nanocrystalline materials, or photonic crystals. Dielectric materials that are doped with rare-earth ions are considered more thoroughly. After a review of the principles of their optical activity the general mechanisms of excitation and emission are described. Materials aspects regarding the spectral range, their fabrication and the solubility of the dopants follow. An erbium-doped alumina waveguide amplifier, reported earlier in the literature, is chosen as an example to demonstrate the feasibility of such components. A theoretical model of the population densities of the energy levels is derived for the simulation. By numerical methods the non-linear system of the rate equations is solved and the stability of the steady state is shown. The simulation of the amplifier demonstrates the dependence of the gain of both the excitation energy and the z-coordinate. Moreover, the superiority of an excitation wavelength of 980 nm compared to 1530 nm is shown. With the model the literature data could be reproduced. / Die Arbeit gibt einen Überblick über verschiedene Möglichkeiten der Realisierung integriert-optischer Wellenleiterverstärker. Ausgehend von optischen Halbleiter- und Faserverstärkern werden einführend ebenso Anordnungen beschrieben, die nichtlineare Effekte sowie nanokristalline Materialien und photonische Kristalle nutzen. Besondere Bedeutung kommt dielektrischen Materialien zu, die mit optisch aktiven Dotanden, bevorzugt Seltenerdionen, versehen sind. Hierbei werden die Ursachen für die optische Aktivität der Lanthanide sowie die generellen Mechanismen der Anregungs- und Emissionsprozesse beschrieben. Aspekte der Materialauswahl, vor allem hinsichtlich des verwendeten Spektralbereiches sowie bezüglich ihrer Herstellung und der Löslichkeit der Dotanden schließen sich an. Anhand eines Literaturbeispiels wird die Realisierbarkeit eines erbiumdotierten Aluminiumoxid-Wellenleiterverstärkers demonstriert. Hierfür wird ein Modell zur Simulation der Besetzungsdichten der angeregten Energieniveaus abgeleitet und mittels numerischer Methoden das sich ergebende, nichtlineare System der Ratengleichungen gelöst, wobei besonders die Stabilität des stationären Besetzungszustandes herausgearbeitet wird. Die Simulation der Verstärkeranordnung zeigt zum einen die Abhängigkeit der Verstärkung von der z-Koordinate sowie der Pumpleistung; zum anderen wird deutlich, dass die Anregung bei 980 nm der Variante bei 1530 nm überlegen ist. Mit dem verwendeten Modell konnten die Literaturdaten reproduziert werden.

The scope of this work is an in-depth investigation of dielectric mirror microcavities with central organic dye layers, which are preferably modified in at least one lateral dimension. The large quality factor of the planar resonator in conjunction with comparatively stable and spectrally broad emitting molecules allows for a detailed analysis of several aspects of microresonator systems. Their optical properties are analyzed both with transmission and luminescence measurements as well as in the lasing regime. The first part presents the resonant mode properties of planar and laterally structured microcavities. With the help of a high-resolution imaging micro-photoluminescence setup, working either in the spatial (near field) or vectorial (far field) regime, the polarization splitting is studied in a detuned microcavity, containing the dye 4,4'-bis[(N-carbazole)styryl]biphenyl (BSB-Cz) in a matrix of 4,4'-di(N-carbazolyl)- biphenyl (CBP). With the help of a thickness gradient, a relation between the large spectral distance of the cross-polarized states and the mode position within the stop band is investigated. In shadow-mask prepared, laterally restricted devices (5x5 µm2 square boxes), the three-dimensional confinement introduces sets of discrete modes, which experience a similar polarization splitting. The origin in this case is a different phase shift of electromagnetic waves during internal total reflection at a boundary. By using a concentration gradient planar microcavity sample of the dye 4-(dicyanomethylene)-2-methyl-6-(4-(dimethylamino)styryl)-4H-pyran (DCM) in a tris-(8-hydroxyquinoline)aluminum (Alq3) matrix, the influence of the number of emitters on the lasing characteristics is subsequently analyzed. Depending on the pumping conditions, and thus the involvement of the Förster resonant energy transfer, an optimal composition is identified. After a qualitative evaluation of the long-term stability upon various excitation energies, the attention is focussed to the modification of the stimulated emission properties of photonic boxes. The stronger field concentration and altered density of states leads to a significant improvement of the values for the coupling factor fi and the threshold levels. Furthermore, new properties arise, namely simultaneous multimode and off-axis laser emission. With an inhomogeneous excitation of the box, it is possible to selectively excite single modes above the threshold. The work ends with experimental results of metal structures as additional optical element in the organic microcavity layer. Here, the aim is is to understand the passive influence of these possible contact- devices on the lasing performance. For this purpose, the lasing is studied at an interface of an areal thin metal layer, which is incorporated in the organic layer.:List of publication Introduction Optical properties of dielectric microresonator systems Sample fabrication and characterization Resonant mode properties of dielectric mirror microcavities Lasing from laterally modified organic cavity systems Conclusion and outlook Bibliography

The presence of photonic band gap in an arbitrarily shaped photonic structure, particularly structures that are fabricated by exploiting rolled-up nanotechnology, can be understood from the density of optical states. In this thesis, the density of optical states and the local density of optical states in finite-sized photonic structures are calculated using the finite difference time domain method together with a parallelized message passing interface. With this approach, a software package suitable for high-performance computing on multi-platform was published under GNU GPL license. When light is guided to propagate along a rolled-up thin film, whispering gallery mode resonances can be formed in a microtubular structure. Dynamic probing and tuning via a plasmonic nanoparticle-coated glass tip are investigated to demonstrate the transition from dielectric-dielectric to dielectric-plasmonic coupling in the tubular microcavity. The competition of these two coupling mechanisms allow the tuning of the optical cavity modes towards lower and then higher energies in a single coupling system. Moreover, three dimensionally confined higher order axial modes can be selectively coupled and tuned by the glass tip due to their unique spatial distribution of the optical field along the tube axis. In addition, the interaction between sharp optical cavity modes and broad plasmonic modes supported by silver nanoparticles leads to the occurrence of Fano resonance. In particular, Fano resonances occurring at higher-order axial modes has been observed as well. The experimental results are supported by numerical simulations based on the finite difference time domain method. In photonic lattice structures, light propagation behavior can be influenced and defined by the photonic band structure. By designing the unit cell with glide mirror symmetry, topologically protected edge states operating in the visible spectral range have been proposed in two dimensional photonic crystals which can be made of feasible materials. Topological phenomena such as unidirectional waveguiding and/or effective zero refractive index are presented. In addition, a scheme to study topological phase transition in a single photonic crystal device is proposed and studied via unevenly stretching photonic lattice. Moreover, a new method is explored to distinguish the topological phase from the bulk modes. The research presented in this thesis concerns molding the flow of light in specially designed photonic devices for various potential applications. The software package can be used to design and investigate finite-sized photonic structures with an arbitrary shape, which is much faster in terms of computation than other reported techniques and software packages. The rolled-up microcavities can be employed to trap and store light in the way of whispering gallery mode resonances, and the resonant light can be tuned and modulated by a plasmonic nanoparticles-coated glass tip. This research is particularly interesting for optical signal processing, slowing light via Fano resonances, and high sensitive sensing. In addition, the topological photonic crystal design and examination scheme presented in this thesis provide a simplified yet more efficient way to obtain non-trivial topological phase from a tunable photonic crystal that can be verified not only by edge modes but also by bulk modes.:Bibliographic record 1 Abstract 1 LIST OF ABBREVIATIONS and Symbols 3 1 Introduction 9 1.1 Introduction and Motivation 9 1.2 Objectives 11 1.3 Organization of the thesis 12 2 Density of optical states in rolled-up photonic crystals and quasi crystals 15 2.1 Introduction 15 2.1.1 background 17 2.1.2 Infinitely extended ideal photonic crystal 17 2.2 Finite-sized photonic crystal, photonic quasicrystal, and arbitrary photonics structures 20 2.2.1 Numerical algorithm 25 2.2.2 Rolled-up photonic crystals and quasi crystals 30 2.3 Software package 33 2.3.1 Computational performance 33 2.3.2 FPS User interface 35 2.3.3 Detailed tutorial 37 2.3.4 Alternative rolled-up photonic crystals 47 2.3.5 Beyond 3D photonic crystals. 48 2.4 Conclusion 49 3 Rolled-up microesonator 51 3.1 Introduction 51 3.2 Rolled-up microresonators 52 4 Tip-assisted photon-plasmon coupling in three-dimensionally confined microtube cavities 57 4.1 Introduction 57 4.2 Tube and plasmonic particle preparation and characterization 60 4.3 Results and discussion 62 4.4 Axial mode tuning 64 4.5 Fano resonance 65 4.5.1 Background 65 4.5.2 Fano resonance in the tip assisted coupling setup 68 4.6 Conclusion 71 5 Topological photonics 73 5.1 Introduction and motivation 73 5.2 Topological phase transition point 77 5.2.1 Fundamental phase transition point 77 5.2.2 Zero refractive index material 79 5.3 Non-trivial topology in realistic materials 80 6 Topological phase transition in stretchable photonic crystals 85 6.1 Introduction and motivation 85 6.2 SSH model 88 6.3 Photonic crystal 91 6.4 Band structure and end modes of the photonic crystal 99 6.5 Conclusion 101 7 Summary and outlook 103 7.1 Summary 103 7.2 Outlook 104 Bibliography 111 List of figures 127 Publications 133 Acknowledgments 136 Selbständigkeitserklärung 137 Curriculum Vitae 138

Mit dem Begriff Wellenleiterquantenelektrodynamik (WQED) wird gemeinhin die Physik des quantisierten und in eindimensionalen Wellenleitern geführten Lichtes in Wechselwirkung mit einzelnen Emittern bezeichnet. In dieser Arbeit untersuche ich Effekte der WQED für einzelne Dreiniveausysteme (3NS) bzw. Paare von Zweiniveausystemen (2NS), die in den Wellenleiter eingebettet sind. Hierzu bediene ich mich hauptsächlich numerischer Methoden und betrachte die Modellsysteme im Rahmen der Drehwellennäherung. Ich untersuche die Dynamik der Streuung einzelner Photonen an einzelnen, in den Wellenleiter eingebetteten 3NS. Dabei analysiere ich den Einfluss dunkler bzw. nahezu dunkler Zustände der 3NS auf die Streuung und zeige, wie sich mit Hilfe stationärer elektrischer Treibfelder gezielt auf die Streuung einwirken lässt. Ich quantifiziere Verschränkung zwischen dem Lichtfeld im Wellenleiter und den Emittern mit Hilfe der Schmidt-Zerlegung und untersuche den Einfluss der Form der Einhüllenden eines Einzelphotonpulses auf die Ausbeute der Verschränkungserzeugung bei der Streuung des Photons an einem einzelnen Lambda-System im Wellenleiter. Hier zeigt sich, dass die Breite der Einhüllenden im k-Raum und die Emissionszeiten der beiden Übergänge des 3NS die maßgeblichen Parameter darstellen. Abschließend ergründe ich die Emissionsdynamik zweier im Abstand L in den Wellenleiter eingebetteter 2NS. Diese Dynamik wird insbesondere durch kavitätsartige und polaritonische Zustände des Systems aus Wellenleiter und Emitter ausschlaggebend beeinflusst. Bei der kollektiven Emission der 2NS treten - abhängig vom Abstand L - Sub- bzw. Superradianz auf. Dabei nimmt die Intensität dieser Effekte mit längerem Abstand L zu. Diese Eigenart lässt sich auf die Eindimensionalität des Wellenleiters zurückführen. / The field of waveguide quantum electrodynamics (WQED) deals with the physics of quantised light in one-dimensional (1D) waveguides coupled to single emitters. In this thesis, I investigate WQED effects for single three-level systems (3LS) and pairs of two-level systems (2LS), respectively, which are embedded in the waveguide. To this end, I utilise numerical techniques and consider all model systems within the rotating wave approximation. I investigate the dynamics of single-photon scattering by single, embedded 3LS. In doing so, I analyse the influence of dark and almost-dark states of the 3LS on the scattering dynamics. I also show, how stationary electrical driving fields can control the outcome of the scattering. I quantify entanglement between the waveguide''s light field and single emitters by utilising the Schmidt decomposition. I apply this formalism to a lambda-system embedded in a 1D waveguide and study the generation of entanglement by scattering single-photon pulses with different envelopes on the emitter. I show that this entanglement generation is mainly determined by the photon''s width in k-space and the 3LS''s emission times. Finally, I explore the emission dynamics of a pair of 2LS embedded by a distance L into the waveguide. These dynamics are primarily governed by bound states in the continuum and by polaritonic atom-photon bound-states. For collective emission processes of the two 2LS, sub- and superradiance appear and depend strongly on the 2LS''s distance: the effects increase for larger L. This is an exclusive property of the 1D nature of the waveguide.