Phase Space, Correspondence Principle and Dynamical Phases: Photon Count Probabilities of Coherent and Squeezed States via Interfering Areas in Phase Space

  • Wolfgang P. Schleich
Part of the NATO ASI Series book series (NSSB, volume 190)


Motion of an electron around a nucleus or, in its most elementary version, vibratory motion of a harmonic oscillator viewed in Planck-Bohr-Sommerfeld quantized phase space;1–3 and matching the discrete, microscopic world with the continuous, macroscopic world via Bohr’s correspondence principle,4–5 these are the essential ingredients of “Atommechanik”.4 Combined with the concept of interference - expressed in the familiar double-slit experiment6 - these central ideas of early quantum mechanics provide in the present paper the most vivid sources of insight into the photon count probability, W m , of a coherent state7–9 shown in Fig. 1 and into the oscillatory10–15 photon statistics16 of a highly squeezed stat17 of a single mode of the electromagnetic field depicted in Fig. 2.


Phase Space Asymptotic Expansion Coherent State Wigner Function Photon Statistic 
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Copyright information

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Wolfgang P. Schleich
    • 1
    • 2
  1. 1.Max-Planck Institut für QuantenoptikGarching bei MünchenW. Germany
  2. 2.Center for Advanced Studies and Department of Physics and AstronomyUniversity of New MexicoAlbuquerqueUSA

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