Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

doi:10.1088/1674-1056/22/3/030311

Abstract The statistical properties of m-coherent superposition operation (μa+νa⁺)^m on the single-mode squeezed vacuum state (M-SSVS) and its decoherence in a thermal environment have been studied. Converting the M-SSVS to a squeezed Hermite polynomial excitation state, we obtain a compact expression for the normalization factor of M-SSVS, which is the Legendre polynomial of the squeezing parameter. We also derive the explicit expression of Wigner function (WF) of M-SSVS, and find the negative region of WF in phase space. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. Using the negativity of WF, the loss of nonclassicality has been discussed.

Keywords: nonclassicality decoherence coherent superposition of photon subtraction and addition Wigner function

Received: 20 April 2012
Revised: 07 September 2012
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	05.30.-d	(Quantum statistical mechanics)
	42.50.Ar

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11047133), and the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20114BAB202004 and 2009GZW0006), and the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ11390).

Corresponding Authors: Ma Shan-Jun
E-mail: shanjunma@126.com

Cite this article:

Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴) Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state 2013 Chin. Phys. B 22 030311

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Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state

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