Abstract
The Wigner function and the symplectic tomogram of an entangled quantum state, which is a superposition of the photon’s coherent states (even and odd coherent states), is studied. Photon statistics and violation of Bell’s inequality for the photon state are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. V. Dodonov, I. A. Malkin, and V. I. Man’ko, Physica, 72, 597 (1974).
R. J. Glauber, Phys. Rev., 131, 2766 (1963).
E. C. G. Sudarshan, Phys. Rev. Lett, 10, 277 (1963).
J. Klauder and E. C. G. Sudarshan, Fundamentals of Quantum Optics [Russian translation], Mir, Moscow (1970).
L. D. Landau, Collection of Papers [in Russian], Nauka, Moscow (1969), Vol. 1, p. 19.
E. Wigner, Phys. Rev., 40, 749 (1932).
S. Mancini, V. I. Man’ko, and P. Tombesi, Phys. Lett. A, 213, 1 (1996).
J. Bertrand and D. Bertrand, Found. Phys., 17, 397 (1987).
K. Vogel and H. Risken, Phys. Rev. A, 40, 2847 (1989).
D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, Phys. Rev. Lett., 70, 1244 (1993).
E. Shrödinger, Naturwissenschaften, 23, 807 (1935).
V. A. Andreev, V. I. Man’ko, O. V. Man’ko, and E. V. Shchukin, Teor. Mat. Fiz., 146, 172 (2006).
I. V. Bargatin, B. A. Grishanin, and V. N. Zadkov, Phys. Uspekhi, 171, 625 (2001).
J. S. Bell, Physica, 1, 195 (1965).
J. S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press (1987).
J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett., 23, 880 (1969).
A. Peres, Phys. Rev. Lett., 77, 1413 (1996).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A, 223, 1 (1996).
M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett., 80, 2239 (1998).
N. A. Ansari and V. I. Man’ko, Phys. Rev. A, 50, 1942 (1994).
V. V. Dodonov, V. I. Man’ko, and D. E. Nikonov, Phys. Rev. A, 51, 3328 (1995).
S. Mancini, V. I. Man’ko, and P. Tombesi, Quantum Semiclass. Opt., 7, 615 (1995).
V. V. Dodonov, O. V. Man’ko, and V. I. Man’ko, Phys. Rev. A, 50, 813 (1994).
V. V. Dodonov, O. V. Man’ko, and V. I. Man’ko, Phys. Rev. A, 49, 2993 (1994).
V. I. Man’ko and R. V. Mendes, Phys. Lett. A, 263, 53 (1999).
S. Mancini, V. I. Man’ko, E. V. Shchukin, and P. Tombesi, J. Opt. B: Quantum Semiclass. Opt., 5, S333 (2003).
A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev., 47, 777 (1935).
A. V. Belinskii and D. N. Klyshko, Sov. Phys. Usp., 163, 1 (1993).
E. Schrödinger, Naturwissenschaften, 14, 664 (1926).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Anisimov, M.A., Man’ko, V.I. Wigner function and Bell’s inequalities for even and odd coherent states. J Russ Laser Res 29, 237–244 (2008). https://doi.org/10.1007/s10946-008-9012-7
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-008-9012-7