Bottle microresonators for applications in quantum optics and all-optical signal processing

This thesis reports on the experimental realization, characterization and application of a novel microresonator design. The so-called “bottle microresonator” sustains whispering-gallery modes in which light fields are confined near the surface of the micron-sized silica structure by continuous total internal reflection. While whispering-gallery mode resonators in general exhibit outstanding properties in terms of both temporal and spatial confinement of light fields, their monolithic design makes tuning of their resonance frequency difficult. This impedes their use, e.g., in cavity quantum electrodynamics (CQED) experiments, which investigate the interaction of single quantum mechanical emitters of predetermined resonance frequency with a cavity mode. In contrast, the highly prolate shape of the bottle microresonators gives rise to a customizable mode structure, enabling full tunability. The thesis is organized as follows: In chapter I, I give a brief overview of different types of optical microresonators. Important quantities, such as the quality factor Q and the mode volume V, which characterize the temporal and spatial confinement of the light field are introduced. In chapter II, a wave equation calculation of the modes of a bottle microresonator is presented. The intensity distribution of different bottle modes is derived and their mode volume is calculated. A brief description of light propagation in ultra-thin optical fibers, which are used to couple light into and out of bottle modes, is given as well. The chapter concludes with a presentation of the fabrication techniques of both structures. Chapter III presents experimental results on highly efficient, nearly lossless coupling of light into bottle modes as well as their spatial and spectral characterization. Ultra-high intrinsic quality factors exceeding 360 million as well as full tunability are demonstrated. In chapter IV, the bottle microresonator in add-drop configuration, i.e., with two ultra-thin fibers coupled to one bottle mode, is discussed. The highly efficient, nearly lossless coupling characteristics of each fiber combined with the resonator's high intrinsic quality factor, enable resonant power transfers between both fibers with efficiencies exceeding 90%. Moreover, the favorable ratio of absorption and the nonlinear refractive index of silica yields optical Kerr bistability at record low powers on the order of 50 µW. Combined with the add-drop configuration, this allows one to route optical signals between the outputs of both ultra-thin fibers, simply by varying the input power, thereby enabling applications in all-optical signal processing. Finally, in chapter V, I discuss the potential of the bottle microresonator for CQED experiments with single atoms. Its Q/V-ratio, which determines the ratio of the atom-cavity coupling rate to the dissipative rates of the subsystems, aligns with the values obtained for state-of-the-art CQED microresonators. In combination with its full tunability and the possibility of highly efficient light transfer to and from the bottle mode, this makes the bottle microresonator a unique tool for quantum optics applications.

Antigen-dependent induction of a CD40 signal in peripheral B cells

Monoclonal antibodies have emerged as one of the most promising therapeutics in oncology over the last decades. The generation of fully human tumorantigen-specific antibodies suitable for anti-tumor therapy is laborious and difficult to achieve. Autoreactive B cells expressing those antibodies are detectable in cancer patients and represent a suitable source for human antibodies. However, the isolation and cultivation of this cell type is challenging. A novel method was established to identify antigen-specific B cells. The method is based on the conversion of the antigen independent CD40 signal into an antigen-specific one. For that, the artificial fusion proteins ABCos1 and ABCos2 (Antigen-specific B cell co-stimulator) were generated, which consist of an extracellular association-domain derived from the constant region of the human immunoglobulin (Ig) G1, a transmembrane fragment and an intracellular signal transducer domain derived of the cytoplasmic domain of the human CD40 receptor. By the association with endogenous Ig molecules the heterodimeric complex allows the antigen-specific stimulation of both the BCR and CD40. In this work the ability of the ABCos constructs to associate with endogenous IgG molecules was shown. Moreover, crosslinking of ABCos stimulates the activation of NF-κB in HEK293-lucNifty and induces proliferation in B cells. The stimulation of ABCos in transfected B cells results in an activation pattern different from that induced by the conventional CD40 signal. ABCos activated B cells show a mainly IgG isotype specific activation of memory B cells and are characterized by high proliferation and the differentiation into plasma cells. To validate the approach a model system was conducted: B cells were transfected with IVT-RNA encoding for anti-Plac1 B cell receptor (antigen-specific BCR), ABCos or both. The stimulation with the BCR specific Plac1 peptide induces proliferation only in the cotransfected B cell population. Moreover, we tested the method in human IgG+ memory B cells from CMV infected blood donors, in which the stimulation of ABCos transfected B cells with a CMV peptide induces antigen-specific expansion. These findings show that challenging ABCos transfected B cells with a specific antigen results in the activation and expansion of antigen-specific B cells and not only allows the identification but also cultivation of these B cells. The described method will help to identify antigen-specific B cells and can be used to characterize (tumor) autoantigen-specific B cells and allows the generation of fully human antibodies that can be used as diagnostic tool as well as in cancer therapy.

Efficient algorithms for NLO QCD event generators

In this thesis we present techniques that can be used to speed up the calculation of perturbative matrix elements for observables with many legs ($n = 3, 4, 5, 6, 7, ldots$). We investigate several ways to achieve this, including the use of Monte Carlo methods, the leading-color approximation, numerically less precise but faster operations, and SSE-vectorization. An important idea is the use of enquote{random polarizations} for which we derive subtraction terms for the real corrections in next-to-leading order calculations. We present the effectiveness of all these methods in the context of electron-positron scattering to $n$ jets, $n$ ranging from two to seven.