Semiclassical spectral function for matter waves in random potentials

Matter waves in anharmonic periodic potentials

Tristram J. Alexander, Mario Salerno, Elena A. Ostrovskaya, and Yuri S. Kivshar Nonlinear Physics Center and ARC Center of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200, Australia Dipartimento di Fisica, “E.R. Cainiello” Università di Salerno, I-84081 Baronissi (SA), Italy Received 16 November 2007; pu...

Spectral Statistics for Weakly Correlated Random Potentials

Abstract. We study localization and derive stochastic estimates (in particular, Wegner and Minami estimates) for the eigenvalues of weakly correlated random discrete Schrödinger operators in the localized phase. We apply these results to obtain spectral statistics for general discrete alloy type models where the single site perturbation is neither of finite rank nor of fixed sign. In particular...

Spectral Shift Function for Trapping Energies in the Semiclassical Limit

Bent waveguides for matter-waves: supersymmetric potentials and reflectionless geometries

Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits. Using methods of supersymmetric quantum mechanics, pairs of bent waveguides are found whose geometry-induced potentials share the same scattering properties. As a result, reflectionless waveguides, dual to the straight waveguide, are identifi...

Matter waves in time-modulated complex light potentials

S. Bernet, R. Abfalterer, C. Keller, M. K. Oberthaler, J. Schmiedmayer, and A. Zeilinger Institut für Medizinische Physik, Universität Innsbruck, Müllerstraße 44, A-6020 Innsbruck, Austria Institut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, A-1090 Wien, Austria Clarendon Labora...