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

doi:10.1088/1674-1056/ab38a6

中国物理B ›› 2019, Vol. 28 ›› Issue (9): 90302-090302.doi: 10.1088/1674-1056/ab38a6

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

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)

1 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
2 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

收稿日期:2019-06-25 修回日期:2019-07-11 出版日期:2019-09-05 发布日期:2019-09-05
通讯作者: Xiang-Guo Meng E-mail:mengxiangguo1978@sina.com
基金资助:
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).

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

Heng-Yun Lv(吕恒云)¹, Ji-Suo Wang(王继锁)², Xiao-Yan Zhang(张晓燕)¹, Meng-Yan Wu(吴孟艳)¹, Bao-Long Liang(梁宝龙)¹, Xiang-Guo Meng(孟祥国)¹

1 Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China;
2 Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China

Received:2019-06-25 Revised:2019-07-11 Online:2019-09-05 Published:2019-09-05
Contact: Xiang-Guo Meng E-mail:mengxiangguo1978@sina.com
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: squeezed negative binomial state, operator ordering, Wigner function, density-operator evolution, amplitude decay

Abstract:

Key words: squeezed negative binomial state, operator ordering, Wigner function, density-operator evolution, amplitude decay

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

42.50.Dv (Quantum state engineering and measurements)

吕恒云, 王继锁, 张晓燕, 吴孟艳, 梁宝龙, 孟祥国. Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay[J]. 中国物理B, 2019, 28(9): 90302-090302.

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[J]. Chin. Phys. B, 2019, 28(9): 90302-090302.

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

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

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