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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Grover Swartzlander
  • Vol. 30, Iss. 6 — Jun. 1, 2013
  • pp: 1614–1622

Wigner function, optical tomography of two-variable Hermite polynomial state, and its decoherence effects studied by the entangled-state representations

Xiang-guo Meng, Zhen Wang, Ji-suo Wang, and Hong-yi Fan  »View Author Affiliations

JOSA B, Vol. 30, Issue 6, pp. 1614-1622 (2013)

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We analytically investigate the Wigner function (WF) and the optical tomography for the two-variable Hermite polynomial state (THPS) and the effect of decoherence on the THPS via the entangled-state representations. The nonclassicality of the THPS is investigated in terms of the partial negativity of the WF, which depends much on the polynomial orders m, n and the squeezing parameter r. We also extend recent theoretical studies of optical tomography and introduce the radon transformation between the Wigner operator and the projection operator of the entangled state |η,τ1,τ2 to derive the tomogram of the THPS. Furthermore, we investigate how the WF for the THPS evolves undergoing the thermal channel. The results show that quantum dissipation in the decoherence channel can thoroughly deteriorate the nonclassicality of the THPS, and thermal noise leads to much quicker decoherence than amplitude damping.

© 2013 Optical Society of America

OCIS Codes
(000.5490) General : Probability theory, stochastic processes, and statistics
(270.0270) Quantum optics : Quantum optics
(270.2500) Quantum optics : Fluctuations, relaxations, and noise

ToC Category:
Quantum Optics

Original Manuscript: January 8, 2013
Revised Manuscript: April 12, 2013
Manuscript Accepted: April 19, 2013
Published: May 22, 2013

Xiang-guo Meng, Zhen Wang, Ji-suo Wang, and Hong-yi Fan, "Wigner function, optical tomography of two-variable Hermite polynomial state, and its decoherence effects studied by the entangled-state representations," J. Opt. Soc. Am. B 30, 1614-1622 (2013)

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