22 May 2006 Photon-number tomography and symplectic approach to stimulated Raman scattering
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Abstract
The quantum aspects like entanglement and quantum distances between quantum states in the Stimulated Raman Scattering (SRS) process are studied using the simpliest model of two-dimensional oscillator with quadratic interaction. The two modes of the oscillator represent the photons of the Stokes mode and the phonons of the medium respectively. The SRS process is discussed in the probability representation of quantum mechanics. The exact formulae for tomograms are given for the symplectic and photon number tomography schemes. The phenomenon of entanglement is investigated. It is shown that after the interaction of laser field with the medium the state of photon-phonon mode is in entangled states, in view of Peres-Horodecki-Simon criterion. The tomographic entropy associated with photon-phonon mode state is introduced. The quantum distance between the states of photon-phonon mode appearing in the case of different initial states of the medium is discussed.
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Olga V. Man'ko, Nikolai V. Tcherniega, "Photon-number tomography and symplectic approach to stimulated Raman scattering", Proc. SPIE 6256, ICONO 2005: Ultrafast Phenomena and Physics of Superintense Laser Fields; Quantum and Atom Optics; Engineering of Quantum Information, 62560W (22 May 2006); doi: 10.1117/12.682581; https://doi.org/10.1117/12.682581
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