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.

Scherverhalten kolloidaler Lagenphasen in Rohrströmungen

Kolloidale Suspensionen aus identischen kugelförmigen, geladenen Partikeln in wässrigen Medien stellen ein ideales Modellsystem zur Untersuchung des Gleichgewichtsverhaltens, aber auch des Nicht-Gleichgewichtsverhaltens Weicher Materie dar. So bilden derartige Systeme bei hinreichend starker und langreichweitiger elektrostatischer Repulsion fluid und kristallin geordnete Strukturen aus, die wegen der weitreichenden Analogie zu atomar kondensierter Materie als kolloidale Fluide und Kristalle bezeichnet werden. Von großem Vorteil ist dabei die Möglichkeit zur kontrollierten Einstellung der Wechselwirkung und die gute optische Zugänglichkeit für Mikroskopie und Lichtstreuung sowie die Weichheit der Materialien, aufgrund derer sich auch Zustände fernab des mechanischen Gleichgewichts gezielt präparieren lassen. Themenstellung der vorliegenden Arbeit ist die Untersuchung des Phasenverhaltens und der Fließmechanismen kolloidaler Kristalle in einer Rohrströmung. Im ersten Teil der Arbeit wird gezeigt, dass beim Fluss durch eine zylindrische Röhre Mehrphasenkoexistenz auftritt, wobei ein polykristalliner Kern von einer isotropen Scherschmelze umgeben ist. Zusätzlich treten an der Grenze zwischen diesen Phasen und an der Rohrwand Phasen hexagonal geordneter übereinander hinweggleitender Lagen auf. Der Vergleich zwischen auf der Basis der Navier-Stokes-Gleichung theoretisch berechneten und gemessenen Geschwindigkeitsprofilen zeigt, dass jede dieser Phasen für sich Newtonsches Fließverhalten aufweist. Die Gesamtviskosität ist hingegen durch die mit dem Durchsatz veränderliche Phasenzusammensetzung Nicht-Newtonsch. Damit gelang es, die erstmalig von Würth beschriebene Scherverdünnung auf eine Veränderung der Phasenzusammensetzung zurückzuführen. Im zweiten Teil der Arbeit wurde erstmals das Fließverhalten der Lagenphasen mittels Lichtstreuung und Korrelationsanalyse untersucht. Dafür wurde ein im Prinzip einfacher, aber leistungsstarker Aufbau realisiert, der es erlaubt, die zeitliche Veränderung der Bragg-Reflexe der Lagenphase in radialer und azimutaler Richtung zu verfolgen und mittels Fourieranalyse zu analysieren. In Abhängigkeit vom Durchsatz geht die zunächst rastend gleitende Lagenphase in eine frei gleitende Lagenphase über, wobei charakteristische Veränderungen der Spektren sowie der Korrelationsfunktionen auftreten, die detailliert diskutiert werden. Der Übergang im Gleitmechanismus ist mit einem Verlust der Autokorrelation der Rotationskomponente der periodischen Intra-Lagenverzerrung verbunden, während die Kompressionskomponente erhalten bleibt. Bei hohen Durchflüssen lassen die Reflexbewegungen auf das Auftreten einer Eigenschwingung der frei gleitenden Lagen schließen. Diese Schwingung lässt sich als Rotationsbewegung, gekoppelt mit einer transversalen Auslenkung in Vortexrichtung, beschreiben. Die Ergebnisse erlauben eine detaillierte Diskussion von verschiedenen Modellvorstellungen anderer Autoren.

An infinite level atom coupled to a heat bath

Wir untersuchen die Mathematik endlicher, an ein Wärmebad gekoppelter Teilchensysteme. Das Standard-Modell der Quantenelektrodynamik für Temperatur Null liefert einen Hamilton-Operator H, der die Energie von Teilchen beschreibt, welche mit Photonen wechselwirken. Im Heisenbergbild ist die Zeitevolution des physikalischen Systems durch die Wirkung einer Ein-Parameter-Gruppe auf eine Menge von Observablen A gegeben: Diese steht im Zusammenhang mit der Lösung der Schrödinger-Gleichung für H. Um Zustände von A, welche das physikalische System in der Nähe des thermischen Gleichgewichts zur Temperatur T darstellen, zu beschreiben, folgen wir dem Ansatz von Jaksic und Pillet, eine Darstellung von A zu konstruieren. Die Vektoren in dieser Darstellung definieren die Zustände, die Zeitentwicklung wird mit Hilfe des Standard Liouville-Operators L beschrieben. In dieser Doktorarbeit werden folgende Resultate bewiesen bzw. hergeleitet: - die Konstuktion einer Darstellung - die Selbstadjungiertheit des Standard Liouville-Operators - die Existenz eines Gleichgewichtszustandes in dieser Darstellung - der Limes des physikalischen Systems für große Zeiten.

Differentiation and extracellular matrix interactions of chondrocytes in response to signaling molecules and biomaterials for cartilage repair = Differenzierung und Interaktionen von Chondrozyten mit der extrazellulären Matrix als Reaktion auf Signalmoleküle und Biomaterialien für die Wiederinstandsetzung von Knorpel

Chondrocytes live isolated in the voluminous extracellular matrix of cartilage, which they secrete and is neither vascularized nor innervated. Nutrient and waste exchanges occur through diffusion leading to low oxygen tension around the cells. Consequently even normal cartilage under normal physiological conditions suffers from a poor reparative potential that predisposes to degenerative conditions, such as osteoarthritis of the joints, with significant clinical effects.rnOne of the key challenges in medicine is the structural and functional replacement of lost or damaged tissues. Current therapeutical approaches are to transplant cells, implant bioartificial tissues, and chemically induce regeneration at the site of the injury. None of them reproduces well the biological and biomechanical properties of hyaline cartilage.rnThis thesis investigates the re-differentiation of chondrocytes and the repair of cartilage mediated by signaling molecules, biomaterials, and factors provided in mixed cellular cultures (co-culture systems). As signaling molecules we have applied prostaglandin E2 (PGE2) and bone morphogenetic protein 1 (BMP-1) and we have transfected chondrocytes with BMP-1 expressing vectors. Our biomaterials have been hydrogels of type-I collagen and gelatin-based scaffolds designed to mimic the architecture and biochemistry of native cartilage and provide a suitable three-dimensional environment for the cells. We have brought chondrocytes to interact with osteosarcoma Cal 72 cells or with murine preosteoblastic KS483 cells, either in a cell-to-cell or in a paracrine manner.rnExogenous stimulation with PGE2 or BMP-1 did not improve the differentiation or the proliferation of human articular chondrocytes. BMP-1 induced chondrocytic de-differentiation in a dose-dependent manner. Prostaglandin stimulation from gelatin-based scaffolds (three-dimensional culture) showed a certain degree of chondrocyte re-differentiaton. Murine preosteoblastic KS483 cells had no beneficial effect on human articular chondrocytes jointly cultivated with them in hydrogels of type I collagen. Although the hydrogels provided the chondrocytes with a proper matrix in which the cells adopted their native morphology; additionally, the expression of chondrocytic proteoglycan increased in the co-cultures after two weeks. The co-culture of chondrocytes with osteoblast-like cells (in transwell systems) resulted in suppression of the regular de-differentiation program that passaged chondrocytes undergo when cultured in monolayers. Under these conditions, the extracellular matrix of the chondrocytes, rich in type-II collagen and aggrecan, was not transformed into the extracellular matrix characteristic of de-differentiated human articular chondrocytes, which is rich in type-I collagen and versican.rnThis thesis suggests novel strategies of tissue engineering for clinical attempts to improve cartilage repair. Since implants are prepared in vitro (ex-vivo) by expanding human articular chondrocytes (autologous or allogeneic), we conclude that it will be convenient to provide a proper three-dimensional support to the chondrocytes in culture, to supplement the culture medium with PGE2, and to stimulate chondrocytes with osteoblastic factors by cultivating them with osteoblasts.rn

Methods and strategies to identify the mode of action of phytoactive compounds

Small molecules affecting biological processes in plants are widely used in agricultural practice as herbicides or plant growth regulators and in basic plant sciences as probes to study the physiology of plants. Most of the compounds were identified in large screens by the agrochemical industry, as phytoactive natural products and more recently, novel phytoactive compounds originated from academic research by chemical screens performed to induce specific phenotypes of interest. The aim of the present PhD thesis is to evaluate different approaches used for the identification of the primary mode of action (MoA) of a phytoactive compound. Based on the methodologies used for MoA identification, three approaches are discerned: a phenotyping approach, an approach based on a genetic screen and a biochemical screening approach.rnFour scientific publications resulting from my work are presented as examples of how a phenotyping approach can successfully be applied to describe the plant MoA of different compounds in detail.rnI. A subgroup of cyanoacrylates has been discovered as plant growth inhibitors. A set of bioassays indicated a specific effect on cell division. Cytological investigations of the cell division process in plant cell cultures, studies of microtubule assembly with green fluorescent protein marker lines in vivo and cross resistant studies with Eleusine indica plants harbouring a mutation in alpha-tubulin, led to the description of alpha-tubulin as a target site of cyanoacrylates (Tresch et al., 2005).rnII. The MoA of the herbicide flamprop-m-methyl was not known so far. The studies described in Tresch et al. (2008) indicate a primary effect on cell division. Detailed studies unravelled a specific effect on mitotic microtubule figures, causing a block in cell division. In contrast to other inhibitors of microtubule rearrangement such as dinitroanilines, flamprop-m-methyl did not influence microtubule assembly in vitro. An influence of flamprop-m-methyl on a target within the cytoskeleton signalling network could be proposed (Tresch et al., 2008).rnIII. The herbicide endothall is a protein phosphatase inhibitor structurally related to the natural product cantharidin. Bioassay studies indicated a dominant effect on dark-growing cells that was unrelated to effects observed in the light. Cytological characterisation of the microtubule cytoskeleton in corn tissue and heterotrophic tobacco cells showed a specific effect of endothall on mitotic spindle formation and ultrastructure of the nucleus in combination with a decrease of the proliferation index. The observed effects are similar to those of other protein phosphatase inhibitors such as cantharidin and the structurally different okadaic acid. Additionally, the observed effects show similarities to knock-out lines of the TON1 pathway, a protein phosphatase-regulated signalling pathway. The data presented in Tresch et al. (2011) associate endothall’s known in vitro inhibition of protein phosphatases with in vivo-effects and suggest an interaction between endothall and the TON1 pathway.rnIV. Mefluidide as a plant growth regulator induces growth retardation and a specific phenotype indicating an inhibition of fatty acid biosynthesis. A test of the cuticle functionality suggested a defect in the biosynthesis of very-long-chain fatty acids (VLCFA) or waxes. Metabolic profiling studies showed similarities with different groups of VLCFA synthesis inhibitors. Detailed analyses of VLCFA composition in tissues of duckweed (Lemna paucicostata) indicated a specific inhibition of the known herbicide target 3 ketoacyl-CoA synthase (KCS). Inhibitor studies using a yeast expression system established for plant KCS proteins verified the potency of mefluidide as an inhibitor of plant KCS enzymes. It could be shown that the strength of inhibition varied for different KCS homologues. The Arabidopsis Cer6 protein, which induces a plant growth phenotype similar to mefluidide when knocked out, was one of the most sensitive KCS enzymes (Tresch et al., 2012).rnThe findings of my own work were combined with other publications reporting a successful identification of the MoA and primary target proteins of different compounds or compound classes.rnA revised three-tier approach for the MoA identification of phytoactive compounds is proposed. The approach consists of a 1st level aiming to address compound stability, uniformity of effects in different species, general cytotoxicity and the effect on common processes like transcription and translation. Based on these findings advanced studies can be defined to start the 2nd level of MoA characterisation, either with further phenotypic characterisation, starting a genetic screen or establishing a biochemical screen. At the 3rd level, enzyme assays or protein affinity studies should show the activity of the compound on the hypothesized target and should associate the in vitro effects with the in vivo profile of the compound.