Dresden 2011 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 15: Poster 1: Quanteninformation, Quanteneffekte, Laserentwicklung, Laseranwendungen, Ultrakurze Pulse, Photonik
Q 15.39: Poster
Monday, March 14, 2011, 16:30–19:30, P1
One- and Two-Photon Scattering in a Disordered 1D Quantum System — •Jochen Zimmermann, Thomas Wellens, and Andreas Buchleitner — Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, Hermann-Herder-Str. 3, 79108 Freiburg
We present our findings on the scattering of one and two photons in a 1D system of two level atoms with binary disorder. For the single-photon case, the scattering matrix is mapped onto the corresponding transfer matrix [1]. Anderson localization and recurrent phases are observed numerically as well as analytically, using a selfconsistent equation for the phase relation.
On the other hand, localization of two photons is still an open problem. Our special interest lies in the role of inelastic scattering events, which occur each time both photons meet at the same atom. We present first perturbative results for the scattering amplitudes of two photons by two atoms and discuss their implication for the construction of a two photon transfer matrix approach.
C. J. Lambert and M. F. Thorpe. Random T-matrix approach to one-dimensional localization. Phys. Rev. B, 27(2):715-726, Jan 1983