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Classical -quantum analogies : SU(1,1) and Glauber photonic lattices

Classical -quantum analogies : SU(1,1) and Glauber photonic lattices. Héctor Moya- Cessa Instituto Nacional de Astrofísica, Optica y Electrónica Tonantzintla , Pue . Mexico. Bessel states as nonlinear coherent states. Infinite waveguides array: fibers.

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Classical -quantum analogies : SU(1,1) and Glauber photonic lattices

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  1. Classical-quantum analogies: SU(1,1) and Glauberphotoniclattices Héctor Moya-Cessa Instituto Nacional de Astrofísica, Optica y Electrónica Tonantzintla, Pue. Mexico Photonics West 2011

  2. Besselstates as nonlinearcoherentstates Infinite waveguides array: fibers A. L. Jones, JOSA 55, 261-271 (1965) Weak coupling, interaction only with nearest neighbor: Photonics West 2011

  3. Discrete Diffraction A beam injected into one of the waveguides in the array spreads to the rest of them by wave coupling. Waveguidenumber This phenomenon has been referred to as DISCRETE DIFFRACTION 10 5 0 H.S Eisenberget al, PRL 81, 3383 (1998) 5 Waveguidenumber 10 Photonics West 2011

  4. Schrödinger-likeequation Photonics West 2011

  5. Photonics West 2011

  6. Photonics West 2011

  7. seeArfken Photonics West 2011

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  9. OpticsCommunications (2011) f(n) Photonics West 2011

  10. SU(1,1) algebra Photonics West 2011

  11. Opticalrealization of a quantum invariant Classical time dependent HO Ermakov-Lewis invariant Lewis, PRL (1967). Ermakov equation Photonics West 2011

  12. Translation to quantum Squeezing & Displacement H. Moya-Cessa and M. Fernández Guasti PHYSICS LETTERS A 311, 1 (2003). Photonics West 2011

  13. Time dependencenow as a factor Photonics West 2011

  14. Paraxial wave equation Suponemos ahora dos medios GRIN pegados GRaded INdex referring to an optical material with refractive index in the form of a parabolic curve, decreasing from the center towards the cladding. Photonics West 2011

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  18. H. MOYA-CESSA, M. FernándezGuasti, V.M. Arrizon and S. Chávez-Cerda,  Opt. Lett.34, No. 9, 1459-1461  (2009), “OPTICAL REALIZATION OF QUANTUM MECHANICAL INVARIANTS.” Photonics West 2011

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