Interacting bosons and fermions in three-dimensional optical lattice potentials

This thesis reports on the realization, characterization and analysis of ultracold bosonic and fermionic atoms in three-dimensional optical lattice potentials. Ultracold quantum gases in optical lattices can be regarded as ideal model systems to investigate quantum many-body physics. In this work interacting ensembles of bosonic 87Rb and fermionic 40K atoms are employed to study equilibrium phases and nonequilibrium dynamics. The investigations are enabled by a versatile experimental setup, whose core feature is a blue-detuned optical lattice that is combined with Feshbach resonances and a red-detuned dipole trap to allow for independent control of tunneling, interactions and external confinement. The Fermi-Hubbard model, which plays a central role in the theoretical description of strongly correlated electrons, is experimentally realized by loading interacting fermionic spin mixtures into the optical lattice. Using phase-contrast imaging the in-situ size of the atomic density distribution is measured, which allows to extract the global compressibility of the many-body state as a function of interaction and external confinement. Thereby, metallic and insulating phases are clearly identified. At strongly repulsive interaction, a vanishing compressibility and suppression of doubly occupied lattice sites signal the emergence of a fermionic Mott insulator. In a second series of experiments interaction effects in bosonic lattice quantum gases are analyzed. Typically, interactions between microscopic particles are described as two-body interactions. As such they are also contained in the single-band Bose-Hubbard model. However, our measurements demonstrate the presence of multi-body interactions that effectively emerge via virtual transitions of atoms to higher lattice bands. These findings are enabled by the development of a novel atom optical measurement technique: In quantum phase revival spectroscopy periodic collapse and revival dynamics of the bosonic matter wave field are induced. The frequencies of the dynamics are directly related to the on-site interaction energies of atomic Fock states and can be read out with high precision. The third part of this work deals with mixtures of bosons and fermions in optical lattices, in which the interspecies interactions are accurately controlled by means of a Feshbach resonance. Studies of the equilibrium phases show that the bosonic superfluid to Mott insulator transition is shifted towards lower lattice depths when bosons and fermions interact attractively. This observation is further analyzed by applying quantum phase revival spectroscopy to few-body systems consisting of a single fermion and a coherent bosonic field on individual lattice sites. In addition to the direct measurement of Bose-Fermi interaction energies, Bose-Bose interactions are proven to be modified by the presence of a fermion. This renormalization of bosonic interaction energies can explain the shift of the Mott insulator transition. The experiments of this thesis lay important foundations for future studies of quantum magnetism with fermionic spin mixtures as well as for the realization of complex quantum phases with Bose-Fermi mixtures. They furthermore point towards physics that reaches beyond the single-band Hubbard model.

Three-dimensional electron microscopy of myriapod hemocyanin, planorbid snail acetylcholine-binding protein and cyanobacterial Vipp1

Three-dimensional electron microscopy (3-D EM) provides a framework for the analysis of large protein quaternary structures. The advantage over the generally higher resolving meth- od of X-ray crystallography is the embedding of the proteins in their physiological environ- ment. However, results of the two methods can be combined to obtain superior structural information. In this work, three different protein types – (i) Myriapod hemocyanin, (ii) vesi- cle-inducing protein in plastids 1 (Vipp1) and (iii) acetylcholine-binding protein (AChBP) – were structurally analyzed by 2-D and 3-D EM and, where possible, functionally interpreted.rnMyriapod hemocyanins have been previously shown to be 6x6-meric assemblies that, in case of Scutigera coleoptrata hemocyanin (ScoHc), show two 3x6-mer planes whith a stag- gering angle of approximately 60°. Here, previously observed structural differences between oxy- and deoxy-ScoHc could be substantiated. A 4° rotation between hexamers of two dif- ferent 3x6-mer planes was measured, which originates at the most central inter-hexamer in- terface. Further information about allosteric behaviour in myriapod hemocyanin was gained by analyzing Polydesmus angustus hemocyanin (PanHc), which shows a stable 3x6-mer and divergent histidine patterns in the inter-hexamer interfaces when compared to ScoHc. Both findings would conclusively explain the very different oxygen binding properties of chilopod and diplopod hemocyanin.rnVipp1 is a protein found in cyanobacteria and higher plants which is essential for thyla- koid membrane function and forms highly variable ring-shaped structures. In the course of this study, the first 3-D analysis of Vipp1 was conducted and yielded reconstructions of six differently sized Vipp1 rings from negatively stained images at resolutions between 20 to 30 Å. Furthermore, mutational analyses identified specific N-terminal amino acids that are essential for ring formation. On the basis of these analyses and previously published results, a hypothetical model of the Vipp1 tertiary and quaternary structure was generated.rnAChBP is a water-soluble protein in the hemolymph of mollusks. It is a structural and functional homologue of the ligand-binding domain of nicotinic acetylcholine receptors. For the freshwater snail Biomphalaria glabrata, we previously described two types of AChBP (BgAChBP1 and BgAChBP2). In this work, a 6 Å 3-D reconstruction of native BgAChBP is presented, which shows a dodecahedral assembly that is unprecedented for an AChBP. Single particle analysis of recombinantely expressed BgAChBP types led to preliminary results show- ing a dodecahedral assembly of BgAChBP1 and a dipentameric assembly of BgAChBP2. This indicates divergent biological functions of the two types.

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