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Optical, symplectic and fresnel tomographies of quantum states

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Acta Physica Hungarica Series B, Quantum Electronics

Abstract

The description of photon quantum states by means of probability-distribution functions (tomograms) of three different kinds (optical, symplectic and Fresnel ones) is presented. Mutual relations between the optical, symplectic and Fresnel tomograms are established. Evolution equation for states of Bose-Einstein condensate (Gross-Pitaevskii nonlinear equation) is given in the tomographic-probability representation. Entropy of solitons related to the Shannon entropy of the tomographic-probability representation is considered.

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Authors and Affiliations

  1. P.N. Lebedev Physical Institute, Leninskii Prospect, 53, 119991, Moscow, Russia

    Margarita A. Man’ko & Vladimir I. Man’ko

  2. Istituto di Cibernetica “Eduardo Caianiello” del CNR Comprensorio “A. Olivetti” Fabbr. 70, Via Campi Flegrei, 34, I-80078, Pozzuoli (NA), Italy

    Sergio De Nicola

  3. Dipartimento di Scienze Fisiche, Università “Federico II” di Napoli, Via Cintia, I-80126, Napoli, Italy

    Renato Fedele

  4. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso, Universitario di Monte Sant Angelo, Via Cintia, I-80126, Napoli, Italy

    Renato Fedele

Authors
  1. Margarita A. Man’ko
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  2. Sergio De Nicola
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  3. Renato Fedele
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  4. Vladimir I. Man’ko
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Additional information

Based on the talk held at the 11th Central European Workshop on Quantum Optics (CEWQO11), 18–20 July 2004, Trieste, Italy.

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Man’ko, M.A., De Nicola, S., Fedele, R. et al. Optical, symplectic and fresnel tomographies of quantum states. Acta Phys. Hung. B 20, 261–268 (2004). https://doi.org/10.1556/APH.20.2004.3-4.9

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  • DOI: https://doi.org/10.1556/APH.20.2004.3-4.9

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