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A new definition and generalization of squeezed states

  • Session V: Squeezed and Nonclassical States
  • Conference paper
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Quantum Aspects of Optical Communications

Part of the book series: Lecture Notes in Physics ((LNP,volume 378))

Abstract

A new, generalized definition of squeezed states is given. The author abstracts from the quantum oscillator or the vacuum state, where this concept is usually defined, and defines it with respect to any probability measure, classical or quantum. A classical case occurs, e. g., in generalized information thermodynamics of the author with two thermal temperatures: first-order T1 and second-order T2. The reference variance in this case is that of the Boltzmann-Gibbs state with one temperature T1 = T.

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References

  1. D. F. Walls, Squeezed states of light, Nature 306:141–146 (1983).

    Google Scholar 

  2. M. M. Nieto, What are squeezed states really like? In: Frontiers of Nonequilibrium Statistical Physics (G. T. Moore and M. O. Scully eds.), Plenum Press, New York 1986, 287–307.

    Google Scholar 

  3. R. Loudon and P. L. Knight, Squeezed light, J. Mod. Optics 34:709–759 (1987).

    Google Scholar 

  4. R. S. Ingarden, Higher-order information dynamics in comesoscopic compact systems, J. Stat. Phys., to be published.

    Google Scholar 

  5. R. S. Ingarden, Information theory and variational principles in statistical physics, Bull. Acad. Polon. Sci., Ser. math. astr.phys. 11:541–547 (1963).

    Google Scholar 

  6. R. S. Ingarden, Information theory and thermodynamics of light, II. Principles of information thermodynamics, Fortschr. Phys. 13:755–805 (1965).

    Google Scholar 

  7. R. S. Ingarden and A. Kossakowski, On the connection of non-equilibrium information thermodynamics with non-hamiltonian quantum mechanics of open systems, Ann. Phys. NY 89:451–485 (1975).

    Google Scholar 

  8. H. Haken, Information and Self-Organization, A Macroscopic Approach to Complex Systems, Springer, Berlin 1988.

    Google Scholar 

  9. R. S. Ingarden, Higher order temperatures and coherence of light, Bull. Acad. Polon. Sci., Ser. math. astr. phys. 16:57–59 (1968).

    Google Scholar 

  10. R. S. Ingarden, Generalized thermodynamics of the electromagnetic radiation in a cavity, I. A 5-temperatures thermodynamics of one mode, Acta Phys. Polon. 36:855–885 (1969).

    Google Scholar 

  11. R. S. Ingarden, An information-theoretical approach to the theory of lasers, Bull. Acad. Polon. Sci., Ser. math. astr. phys. 19:77–82 (1971).

    Google Scholar 

  12. R. S. Ingarden, Generalized irreversible thermodynamics and its application to lasers I,II, Acta Phys. Polon. A43:3–35 (1973).

    Google Scholar 

  13. C. K. Hong and L. Mandel, Generation of higher-order squeezing of quantum electromagnetic fields, Phys. Rev. A32:974–982 (1985).

    Google Scholar 

  14. C. Gerry and S. Rodrigues, Higher-order squeezing from an anharmonic oscillator, Phys. Rev. A35:4440–4442 (1987).

    Google Scholar 

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Authors

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Cherif Bendjaballah Osamu Hirota Serge Reynaud

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© 1991 Springer-Verlag

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Ingarden, R.S. (1991). A new definition and generalization of squeezed states. In: Bendjaballah, C., Hirota, O., Reynaud, S. (eds) Quantum Aspects of Optical Communications. Lecture Notes in Physics, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53862-3_188

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  • DOI: https://doi.org/10.1007/3-540-53862-3_188

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53862-2

  • Online ISBN: 978-3-540-46366-5

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