Statistical properties of binomial and negative-binomial combinational optical field state and its generation in quantum diffusion channel

Fan Hong-Yi; Wu Ze

doi:10.7498/aps.64.080303

Abstract

According to the combinational binomial-negative-binomial distribution, we propose a binomial-negative-binomial combinational optical field state, which can be generated in the process of a Fock state |m>m| passing through a quantum-mechanical diffusion channel. We derive the second-order coherence degree formula, g(2)(t) =2-((m2+m)/(m+κt2)), which is the diffusion constant. We find that in the process of the Fock state undergoing quantum diffusion and becoming classical, the corresponding photon statistics evolves from sub-Poissonian distribution to Poisson distribution and finally goes to a chaotic state. We also find that the more photons in the initial Fock state, the longer time is needed for quantum decoherence.

Keywords:

Authors and contacts

Fan Hong-Yi^1,2,
Wu Ze³

1.
Department of Physics, Ningbo University, Ningbo 315211, China;
2.
Department of Material Science and Engineering, University of Science and Technology of China, Heifei 230026, China;
3.
Department of Modern Physics, University of Science and Technology of China, Heifei 230026, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11175113).

References

[1]	Stoler D 1985 Opt. Acta 32 345
[2]	Fan H Y, Ren G 2010 Chin. Phys. Lett. 27 050302
[3]	Fan H Y, Jing S C 1995 Commun. Theor. Phys. 24 125
[4]	Agarwal G S 1992 Phys. Rev. A 45 1787
[5]	Fan H Y, Li S 2005 Commun. Theor. Phys. 43 519
[6]	Preskill J 1998 Lecture Notes for Physics: Quantum Information and Computation (Pasadena: California Institution of Technology) p229
[7]	Carmichael H J 1999 Statistical Methods in Ouantum Optics I, Master Equation and Foker-Planck Equations (Berlin: Springer-Verlag)
[8]	Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[9]	Orszag M 2000 Quantum Optics (Berlin: Springer-Verlag)

Cited By

[1]	Stoler D 1985 Opt. Acta 32 345
[2]	Fan H Y, Ren G 2010 Chin. Phys. Lett. 27 050302
[3]	Fan H Y, Jing S C 1995 Commun. Theor. Phys. 24 125
[4]	Agarwal G S 1992 Phys. Rev. A 45 1787
[5]	Fan H Y, Li S 2005 Commun. Theor. Phys. 43 519
[6]	Preskill J 1998 Lecture Notes for Physics: Quantum Information and Computation (Pasadena: California Institution of Technology) p229
[7]	Carmichael H J 1999 Statistical Methods in Ouantum Optics I, Master Equation and Foker-Planck Equations (Berlin: Springer-Verlag)
[8]	Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[9]	Orszag M 2000 Quantum Optics (Berlin: Springer-Verlag)

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Vol. 64, Issue 8 - 2015-04-20

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