Microscopic derivation of Hubbard parameters for cold atomic gases

We study the exact solution for two atomic particles in an optical lattice interacting via a Feshbach resonance. The analysis includes the influence of all higher bands, as well as the proper renormalization of molecular energy in the closed channel. Using an expansion in Bloch waves, we show that the problem reduces to a simple matrix equation, which can be solved numerically very efficient. This exact solution allows for the precise determination of the parameters in the Hubbard model and the two-particle bound state energy. We identify the regime, where a single band Hubbard model fails to describe the scattering of the atoms as well as the bound states.Comment: 4 pages, 2 figure

Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices

We study the phase diagram of two-dimensional Bose-Fermi mixtures of ultracold atoms on a triangular optical lattice, in the limit when the velocity of bosonic condensate fluctuations is much larger than the Fermi velocity. We contrast this work with our previous results for a square lattice system in Phys. Rev. Lett. {\bf 97}, 030601 (2006). Using functional renormalization group techniques we show that the phase diagrams for a triangular lattice contain exotic superconducting phases. For spin-1/2 fermions on an isotropic lattice we find a competition of $s$-, $p$-, extended $d$-, and $f$-wave symmetry, as well as antiferromagnetic order. For an anisotropic lattice, we further find an extended p-wave phase. A Bose-Fermi mixture with spinless fermions on an isotropic lattice shows a competition between $p$- and $f$-wave symmetry. These phases can be traced back to the geometric shapes of the Fermi surfaces in various regimes, as well as the intrinsic frustration of a triangular lattice.Comment: 6 pages, 4 figures, extended version, slight modification

Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency

We demonstrate theoretically a parallelized C-NOT gate which allows to entangle a mesoscopic ensemble of atoms with a single control atom in a single step, with high fidelity and on a microsecond timescale. Our scheme relies on the strong and long-ranged interaction between Rydberg atoms triggering Electromagnetically Induced Transparency (EIT). By this we can robustly implement a conditional transfer of all ensemble atoms among two logical states, depending on the state of the control atom. We outline a many body interferometer which allows a comparison of two many-body quantum states by performing a measurement of the control atom.Comment: published versio

Spectroscopy of Superfluid Pairing in Atomic Fermi Gases

We study the dynamic structure factor for density and spin within the crossover from BCS superfluidity of atomic fermions to the Bose-Einstein condensation of molecules. Both structure factors are experimentally accessible via Bragg spectroscopy, and allow for the identification of the pairing mechanism: the spin structure factor allows for the determination of the two particle gap, while the collective sound mode in the density structure reveals the superfluid state.Comment: 4 pages, 3 figure

Molekulare Veränderungen beim Pankreaskarzinom

Zusammenfassung: Grundlagen: Das Pankreaskarzinom hat eine infauste Prognose. Die Ursachen für das aggressive Tumorwachstum und die frühe Metastasierung sind nur unzureichend bekannt. Mit Hilfe von modernen molekularbiologischen Untersuchungstechniken ist es in den vergangenen Jahren gelungen, einen Einblick in die Pathophysiologie dieser Erkrankung zu gewinnen. Methodik: Im Rahmen dieser Übersicht wird die pathogenetische Bedeutung von Wachstumsfaktor-Rezeptoren (EGFR, c-erbB-2, c-erbB-3), Wachstumsfaktoren (EGF, TGF-α, Amphiregulin, Betacellulin, TGF-βs, FGFs) sowie von Genmutationen (p53, K-ras) und Adhäsionsmolekülen beim humanen Pankreaskarzinom dargestellt. Ergebnisse: In einer signifikanten Anzahl der Pankreaskarzinome sind Wachstumsfaktorrezeptoren (EGFR, c-erbB-2, c-erbB-3), Wachstumsfaktoren (EGF, TGF-α, Amphiregulin, Betacellulin, TGF-βs, FGFs) und Adhäsionsmoleküle (ICAM-1, ELAM-1) überexprimiert sowie Genmutationen (p53, K-ras) vorhanden. Allerdings sind nicht alle diese molekularen Veränderungen mit einem schnelleren Tumorwachstum und einer schlechteren Prognose nach Tumorresektion vergesellschaftet. Schlußfolgerungen: Molekulare Störungen in Pankreaskarzinomzellen tragen zum malignen Phänotyp bei. Diese Veränderungen erklären, warum die Pankreaskarzinomzellen schnell proliferieren und nur eine geringe Ansprechbarkeit auf adjuvante onkologische Behandlungen zeige