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

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Squeezed and Nonclassical Light

Part of the book series: NATO ASI Series ((NSSB,volume 190))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Max-Planck Institut für Quantenoptik, D-8046, Garching bei München, W. Germany

    Wolfgang P. Schleich

  2. Center for Advanced Studies and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico, USA, 87131

    Wolfgang P. Schleich

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  1. Wolfgang P. Schleich
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Editor information

Editors and Affiliations

  1. La Sapienza University, Rome, Italy

    P. Tombesi

  2. Royal Signals and Radar Establishment, Great Malvern, UK

    E. R. Pike

  3. King’s College, London, UK

    E. R. Pike

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Schleich, W.P. (1989). Phase Space, Correspondence Principle and Dynamical Phases: Photon Count Probabilities of Coherent and Squeezed States via Interfering Areas in Phase Space. In: Tombesi, P., Pike, E.R. (eds) Squeezed and Nonclassical Light. NATO ASI Series, vol 190. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6574-8_10

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  • DOI: https://doi.org/10.1007/978-1-4757-6574-8_10

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