Optical, symplectic and fresnel tomographies of quantum states

  • Margarita A. Man’ko
  • Sergio De Nicola
  • Renato Fedele
  • Vladimir I. Man’ko


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.


quantum tomography symplectic tomography Fresnel tomography nonlinear Schrödinger equation solitons Gross-Pitaevskii equation Bose-Einstein condensates 


03.65.Wj 03.75.Lm 


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Copyright information

© Akadémiai Kiadó 2004

Authors and Affiliations

  • Margarita A. Man’ko
    • 1
  • Sergio De Nicola
    • 2
  • Renato Fedele
    • 3
    • 4
  • Vladimir I. Man’ko
    • 1
  1. 1.P.N. Lebedev Physical InstituteMoscowRussia
  2. 2.Istituto di Cibernetica “Eduardo Caianiello” del CNR Comprensorio “A. Olivetti” Fabbr. 70Pozzuoli (NA)Italy
  3. 3.Dipartimento di Scienze FisicheUniversità “Federico II” di NapoliNapoliItaly
  4. 4.Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, ComplessoUniversitario di Monte Sant AngeloNapoliItaly

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