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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 7 — Jul. 1, 2012
  • pp: 1844–1853

Nonclassical properties of photon-added two-mode squeezed thermal states and their decoherence in the thermal channel

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


JOSA B, Vol. 29, Issue 7, pp. 1844-1853 (2012)
http://dx.doi.org/10.1364/JOSAB.29.001844


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Abstract

We investigate nonclassicality and decoherence of field states generated with the non-Gaussian operation of photon addition to a two-mode squeezed thermal state (TSTS) using the normally ordered density operator of the photon-added TSTS (PTSTS). The normalization factor of the PTSTS is just a Jacobi polynomial of the squeezing parameter γ and the average photon number n¯ of the thermal field. We show that the fields in such states exhibit remarkable quantum features, such as sub-Poissonian photon statistics, the anti-bunching effect, and photon-number distribution. The nonclassicality is discussed in phase space based on the partial negativity of the Wigner function (WF) with two-variable Hermite polynomials. The results show that the non-Gaussian WF always exhibits the quantum interference structure caused by the two-mode squeezing operation and has some negative regions for any value of n¯, γ, and the photon-addition numbers m, n. In addition, the effect of decoherence on the PTSTS in the thermal channel is studied by analytically deriving the time-evolution WF. We find that the WF becomes Gaussian (corresponding to a classical thermal state) at long times, losing its nonclassicality as a result of decoherence, and a larger m (or n) leads to a longer decoherence time κt.

© 2012 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

History
Original Manuscript: April 2, 2012
Revised Manuscript: May 8, 2012
Manuscript Accepted: May 17, 2012
Published: June 29, 2012

Citation
Xiang-guo Meng, Zhen Wang, Hong-yi Fan, Ji-suo Wang, and Zhen-shan Yang, "Nonclassical properties of photon-added two-mode squeezed thermal states and their decoherence in the thermal channel," J. Opt. Soc. Am. B 29, 1844-1853 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-7-1844

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