Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 52: Quantum Information: Concepts and Methods IV / Photons and Nonclassical Light I

Q 52.6: Talk

Thursday, March 11, 2010, 15:15–15:30, E 214

Multi-mode quantum mechanical propagation equations for waveguided PDC — Wolfgang Mauerer, •Andreas Christ, and Christine Silberhorn — MPI for the Science of Light, IQO-Group, Erlangen, Germany

In recent years parametric down-conversion (PDC) processes have been established as a reliable source of quantum states for both fundamental quantum optics experiments and quantum information applications.

Most concepts are well understood theoretically, but they usually are based on a single-mode description or rely on first-order perturbation theory. Current PDC experiments however employ ultrafast pump lasers with high peak powers, hence contributions from many spectral modes and higher-order effects are unavoidable and need to be accounted for by theory.

In this talk we present recent progress towards full quantum-mechanical propagation equations for waveguided PDC explicitly including spatio-spectral effects utilizing the Heisenberg picture and Bogoliubov transformations. We use these as a basis for further structural analysis with special emphasis on the multi-mode spectral structure, photon-number distributions and intensity dependent effects. Furthermore we present differences between the different theoretical approaches and highlight the impacts of higher-order effects.