Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

doi:10.1088/1674-1056/ab38a6

Abstract

Using the thermal-entangled state representation and the operator-ordering method, we investigate Wigner function (WF) for the squeezed negative binomial state (SNBS) and the analytical evolution law of density operator in the amplitude decay channel. The results show that the analytical WF is related to the square of the module of single-variable Hermite polynomials, which leads to a new two-variable special function and its generating function, and the parameters s and γ play opposite roles in the WF distributions. Besides, after undergoing this channel, the initial pure SNBS evolves into a new mixed state related to two operator Hermite polynomials within normal ordering, and fully loses its nonclassicality and decays to vacuum at long decay time.

Keywords: squeezed negative binomial state operator ordering Wigner function density-operator evolution amplitude decay

Received: 25 June 2019
Revised: 11 July 2019
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	42.50.Dv	(Quantum state engineering and measurements)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2016AM03 and ZR2017MA011).

Corresponding Authors: Xiang-Guo Meng
E-mail: mengxiangguo1978@sina.com

Cite this article:

Heng-Yun Lv(吕恒云), Ji-Suo Wang(王继锁), Xiao-Yan Zhang(张晓燕), Meng-Yan Wu(吴孟艳), Bao-Long Liang(梁宝龙), Xiang-Guo Meng(孟祥国) Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay 2019 Chin. Phys. B 28 090302

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Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay

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