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Week starting Monday July 19 Quantum optics tools and methods (1) • State characterization: Single photon photodetection theory, action of a beamsplitter on a quantum field, multiple photodetection, bunching and anti-bunching, homodyne detection, noise spectrum. • Saturated single emitter: Light-matter interaction, dipolar approximation, spontaneous emission, Fermi¡¯s golden rule. Illustration: Single photon emission with a single trapped atom. - Problem#2 on Wigner-Weisskopf theory Week starting Monday July 26 Quantum optics tools and methods (2) • Nonlinear quantum optics: Parametric down conversion, photon pairs, application to single photon sources, production of squeezed vacuum, 4-wave mixing, squeezing of coherent states. • Entanglement: Producing entangled states of the light, fidelity, Bell¡¯s inequality violation, indistinguishable photons, 2-photon interferences, entanglement swapping. - Problem #3 on the Hong-Ou-Mandel effect Week starting Monday August 2 Applications to Quantum information (1) • Single photon sources and application to quantum cryptography: Single photon emission with NV centers, CdSe nanocrystals and single rubidium trapped atom. Bunching and antibunching effects. Practical realization of BB84 with single photons. - Problem#4 on single photon emission by a two level emitter • Sources of photons pairs for quantum teleportation. Production of photon pairs with PPLN & PPKTP. Teleportation protocol. Introduction to quantum repeaters. Week starting Monday August 9 Applications to Quantum information (2) • Single photons emitters and application to quantum computing. Emission of indistinguishable photons by two single trapped atoms, two-photon interferences. Conditionnal entanglement of two emitters. Single atoms turned to single quantum bits. C-Not gate using Rydberg states. • Final examination followed by the correction of the exam problem. Reference£º "Quantum Optics, an introduction", Mark Fox, (Oxford Master Series, 2006) ¡°The quantum Theory of light", R. Loudon, (Oxford Univ. Press 3rd Ed., 2003) "Introductory Quantum Optics¡±, C.C. Gerry and P.L. Knight, (Cambridge Univ. Press, 2005) ¡°Atom-Photon Interactions, basic processes and applications¡±, C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Wiley (1992). ¡°Two-dimensional transport and transfer of a single atomic qubit in optical tweezers¡±, J. Beugnon, C. Tuchendler, H. Marion, A. Gaëtan, G. Messin, A. Browaeys, P. Grangier.£¬Nature Physics 3, 696-699 (2007). ¡°Quantum interference between two single photons emitted by independently trapped atoms¡±, J. Beugnon, G. Messin, A. Browaeys, P. Grangier.£¬Nature 440, 779-782 (2006). ¡°Controlled Single-Photon Emission from a Single trapped Two-Level Atom¡±, B. Darqui¨¦, M. P. A. Jones, J. Dingjan, G. Messin, A. Browaeys, P. Grangier.£¬Science 309, 454-456 (2005). |
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