Geometry and Analysis doubleseminar

13.15-14.15 On the dynamics of the polaron in the strong coupling limit

Speaker: Marcel Griesemer, University of Stuttgart

Abstract: The polaron model of H. Fröhlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the
strong coupling limit one expects that the phonon modes may be treated classically which leads to a coupled Schrödinger-Poisson system with
memory. For the effective dynamics of the electron this amounts to a nonlinear and non-local Schrödinger equation. We give a heuristic, but
systematic derivation of this equation based on the Fröhlich model and we present a new result on the accuracy of some of its solutions for
describing the motion of Fröhlich polarons in the strong coupling limit.

14.30-15: Realizing a 2-qubit entangling gate with anyons

Speaker: Claire Levaillant, University of California, Santa Barbara

Abstract: The Brylinski couple showed in 2001 that a universal set of 1-qubit gates together with only one 2-qubit entangling gate suffices to perform any quantum operation on n-qubits. I will explain the meaning of an entangling gate and realize one by protocols involving braiding and measuring anyons within the anyonic system the Kauffman-Jones version of SU(2) Chern-Simons theory at level 4.