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2015 | 13 | 1 |
Tytuł artykułu

Generalized binomial distribution in photon statistics

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Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The photon-number distribution between two parts of a given volume is found for an arbitrary photon statistics. This problem is related to the interaction of a light beam with a macroscopic device, for example a diaphragm, that separates the photon flux into two parts with known probabilities. To solve this problem, a Generalized Binomial Distribution (GBD) is derived that is applicable to an arbitrary photon statistics satisfying probability convolution equations. It is shown that if photons obey Poisson statistics then the GBD is reduced to the ordinary binomial distribution, whereas in the case of Bose- Einstein statistics the GBD is reduced to the Polya distribution. In this case, the photon spatial distribution depends on the phase-space volume occupied by the photons. This result involves a photon bunching effect, or collective behavior of photons that sharply differs from the behavior of classical particles. It is shown that the photon bunching effect looks similar to the quantum interference effect.
Wydawca

Czasopismo
Rocznik
Tom
13
Numer
1
Opis fizyczny
Daty
wydano
2015-01-01
otrzymano
2014-04-24
zaakceptowano
2014-08-22
online
2014-10-09
Twórcy
Bibliografia
  • [1] R. Hanbury Brown, R.Q. Twiss, Nature 177, 27 (1956)
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  • [6] L.Mandel, E.Wolf, Optical Coherence and Quantum Optics (Cambridge University Press, Cambridge, 1995)
  • [7] L. Mandel, Proc. Phys. Soc. (London) 74, 233 (1959)[Crossref]
  • [8] R.L. Graham, D.E. Knuth, O.Patashnik, Concrete Mathematics: A Foundation for Computer Science, Second Edition (Addison- Wesley Publishing Company, Inc., 1989)
  • [9] M.O. Scully, M. Suhail Zubairy, Quantumoptics (Cambridge University Press, Cambridge, 2001)
  • [10] R. Glauber, Lecture #17, In C. DeWitt (Ed.), Quantum Optics and Electronics (Gordon and Breach, Science Publishers, New York- London-Paris, 1965)
  • [11] J. Sperling, W. Vogel, G.S. Agarwal, Phys. Rev. A 85, 023820 (2012)[Crossref]
  • [12] J. Sperling,W. Vogel, G.S. Agarwal, Phys. Rev. Lett. 109, 093601 (2012)[Crossref]
  • [13] T.J. Bartley, G. Donati, X.-M. Jin, A. Datta, M. Barbieri, I.A.Walmsley, Phys. Rev. Lett. 110, 173602 (2013) [Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_phys-2015-0005
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