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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry van Driel
  • Vol. 27, Iss. 2 — Feb. 1, 2010
  • pp: 286–299

Statistical properties of photon-subtracted two-mode squeezed vacuum and its decoherence in thermal environment

Li-yun Hu, Xue-xiang Xu, and Hong-yi Fan  »View Author Affiliations

JOSA B, Vol. 27, Issue 2, pp. 286-299 (2010)

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We investigate the statistical properties of photon subtractions from a two-mode squeezed vacuum state and its decoherence in a thermal environment. It is found that the state can be considered as a squeezed two-variable Hermite polynomial excitation vacuum, and the normalization of this state is the Jacobi polynomial of the squeezing parameter. A compact expression for the Wigner function (WF) is also derived analytically by using the Weyl-ordered operator invariance under similar transformations. Especially, the nonclassicality is discussed in terms of the negativity of the WF. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. It is shown that the WF is always positive for any squeezing parameter and any photon-subtraction number if the decay time exceeds an upper bound ( κ t > 1 2 ln 2 n ¯ + 2 2 n ¯ + 1 ) .

© 2010 Optical Society of America

OCIS Codes
(270.0270) Quantum optics : Quantum optics
(270.5290) Quantum optics : Photon statistics

ToC Category:
Quantum Optics

Original Manuscript: September 28, 2009
Revised Manuscript: December 2, 2009
Manuscript Accepted: December 5, 2009
Published: January 22, 2010

Li-yun Hu, Xue-xiang Xu, and Hong-yi Fan, "Statistical properties of photon-subtracted two-mode squeezed vacuum and its decoherence in thermal environment," J. Opt. Soc. Am. B 27, 286-299 (2010)

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