The coupling of light to ensembles of strongly interacting Rydberg atoms via electromagnetically induced transparency (EIT) has emerged as a particularly promising approach towards quantum nonlinear optics, allowing freely propagating photons to acquire long-ranged effective interactions of unprecedented strength. This thesis explores different photon interaction mechanisms enabled by this general approach, and examines how these can be utilized for various different practical applications. Considering dissipative photon interactions, we first examine the effect of blockade-induced photon scattering on the spatial coherence of collective Rydberg excitations stored in an atomic medium, and how this influences the efficiency of photon storage and retrieval. Based on this developed understanding, we examine the performance of single-photon switching capabilities enabled by dissipative scattering and establish optimized switching protocols over a range of parameters. We then generalize this to consider the many-body decoherence of multiple stored excitations. Here we identify a correlated coherence protection mechanism in which photon scattering from one excitation can preserve the spatial coherence of all others in the medium, and consider the utility of this effect for implementing robust single-photon subtraction. We then outline a new approach towards coherent quantum nonlinear optics via Rydberg-EIT, in which the emergent photon interaction features intrinsically suppressed photon losses. The underlying idea exploits Rydberg blockade to modify rather than break EIT conditions for multiple photons in close proximity, the effect of which alters the underlying dispersion relation of light propagation in a coherent fashion. We devise a specific implementation of this general mechanism fostering a reflective optical nonlinearity and discuss how this can enable efficient single-photon routing with a multitude of unique practical applications.

This thesis presents studies on III-V semiconductor waveguides with particular emphasis on second-order optical nonlinearity. The nonlinear processes that were investigated in this thesis are the Second Harmonic Generation (SHG) and the Spontaneous Parametric Down-Conversion (SPDC). The optical waveguides are made of InGaP and the waveguide design includes tapered parts for in- and out-coupling of guided light. Simulation of light propagation and modal solutions were done using Lumerical MODE, FDTD, and COMSOL Multiphysics software. The in- and outcoupling for the design of tapered waveguide that utilize the bulk non-linearity is 65 % when the waveguide is 145 nm thick and 2.60 μm wide having PMMA as top cladding. The SHG conversion efficiency for this configuration when the waveguide length is 2 μm long, is found 31 %/W. Three cases of the utilization of the surface non-linearity are proposed too. Preliminary steps toward the fabrication of the waveguide structures are also reported. The particular mesa-isolated substrates are fabricated having a side wall with a negative angle profile that result to a significant undercut. InGaP waveguides were transferred to the target substrates successfully and the process that was used can enable heterogeneous integration of InGaP and SOI platform. / Denna avhandling presenterar studier av III-V-halvledarvågledare med särskild tonvikt på andra ordningens optisk olinjäritet. De olinjära processer som undersöktes i denna avhandling är SHG och SPDC. De optiska vågledarna är gjorda av InGaP och vågledardesignen inkluderar avsmalnande delar för in- och utkoppling av styrt ljus. Simulering av ljusutbredning och modala lösningar gjordes med Lumerical MODE, FDTD och COMSOL Multiphysics mjukvara. In- och utkopplingen för konstruktionen av avsmalnande vågledare som utnyttjar bulkolinjäriteten är 65 % när vågledaren är 145 nm tjock och 2,60 μm bred med PMMA som toppbeklädnad. SHGkonverteringseffektiviteten för denna konfiguration när vågledarlängden är 2 μm lång, är 31 %/W. Tre fall av utnyttjande av ytolinjäriteten föreslås också. Preliminära steg mot tillverkningen av vågledarstrukturerna rapporteras också. De speciella mesa-isolerade substraten är tillverkade med en sidovägg med en negativ vinkelprofil som resulterar i en betydande underskärning. InGaP-vågledare överfördes till målsubstraten framgångsrikt och processen som användes kan möjliggöra heterogen integration av InGaP och SOI-plattformen.