广义压缩粒子数态的非经典性质及其退相干

徐学翔; 袁洪春; 胡利云

doi:10.7498/aps.59.4661

摘要

研究了三参数的压缩算符产生的广义压缩粒子数态的非经典性质及其在光子损失通道中的退相干问题.利用有序算符内的积分技术和Weyl编序算符在相似变换下的不变性,简洁地导出了广义压缩粒子数态的Wigner函数(Laguerre-Gaussian函数).基于Wigner函数的演化积分公式,解析地推导出了在耗散通道中的Wigner函数表达式.特别地,根据Wigner函数负部体积讨论了其非经典性.

关键词:

We study the nonclassicality and decoherence in photon-loss channel of generalized squeezed Fock state, which is related to the squeezed operator with three real parameters. By using the Weyl ordering invariance under similarity transformations and the technique of integration within an ordered product of operators, we obtain the compact Wigner function of the generalized squeezed Fock state (Laguree-Gaussian function). According to the integration formula of the time evolution of the Wigner function, the Wigner expresssion in photon-loss channel is analytically deduced. In particular, we discussed the nonclassicality from the negativity of the Wigner function.

Keywords:

作者及机构信息

(1)江西师范大学物理与通信电子学院,南昌 330022; (2)江西师范大学物理与通信电子学院,南昌 330022; 上海交通大学物理系,上海 200030; (3)上海交通大学物理系,上海 200030

基金项目: 国家自然科学基金(批准号:10775097,10874174)和江西省教育厅科学技术研究计划(批准号:GJJ10097)资助的课题.

Authors and contacts

(1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; (3)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

参考文献

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[2]	Dodonov V V 2002 J. Opt. B: Quantum Semiclassical Opt. 4 R1
[3]	Short R, Mandel L 1983 Phys. Rev. Lett. 51 384
[4]	Wigner E 1932 Phys. Rev. 40 749
[5]	Hillery M 1984 Phys. Rep. 106 121
[6]	Schleich W P 2001 Quantum Optics in Phase Space (Berlin: Wiley-VCH)
[7]	Anatole K, Karol Z 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396
[8]	Meng X G, Wang J S 2007 Acta Phys. Sin. 56 4578 (in Chinese) [孟祥国、王继锁 2007 56 4578]
[9]	Meng X G, Wang J S, Liang B L 2007 Acta Phys. Sin. 56 2160 (in Chinese) [孟祥国、王继锁、梁宝龙 2007 56 2160]
[10]	Hu L Y, Fan H Y 2009 Chin. Phys. B 18 4657
[11]	Ye B, Xu W B, Gu B J 2008 Acta Phys. Sin. 57 0689 (in Chinese) [叶宾、须文波、顾斌杰 2008 57 0689]
[12]	Hu L Y, Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
[13]	Hu L Y, Fan H Y 2009 Phys. Scr. 79 035004
[14]	Fan H Y, Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[15]	Fan H Y, Hu L Y 2008 Opt. Commun. 281 5571
[16]	Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[17]	Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[18]	Fan H Y 1997 Representation and Transformation Theory in Quantum Mechanics (Shanghai: Shanghai Scientific and Technical Publisher) (in Chinese) [范洪义 1997 量子力学表象与变换论(上海:上海科技出版社)]
[19]	Fan H Y, Wunsche A 2000 J. Opt. B: Quantum Semiclass. Opt. 2 464
[20]	Fan H Y, Chen J H 2002 Commun. Theor. Phys. 38 147
[21]	Fan H Y 2005 From Quantum Mechanics to Quantum Optics——Development of the Mathematical Physics (Shanghai: Shanghai Jiao Tong University Press) (in Chinese) [范洪义 2005 从量子力学到量子光学——数理进展(上海:上海交通大学出版社)]
[22]	Glauber R J 1963 Phys. Rev. 130 2529
[23]	Klauder J R, Skargerstam B S 1985 Coherent States (Singapore: World Scientific)
[24]	Olivares S, Paris M G A 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S616
[25]	Hu L Y, Fan H Y 2009 Chin. Phys. B 18 902
[26]	Fan H Y, Hu L Y 2009 Chin. Phys. B 18 0611
[27]	Lee C T 1990 Phys. Rev. A 42 1608
[28]	Fan H Y, Tang X B 2008 Development of the Mathematical Physics in Quantum Mechanics (Hefei: University of Science and Technology of China Press)(in Chinese)[范洪义、唐绪兵 2008 量子力学数理基础进展(合肥:中国科技大学出版社)]
[29]	Hu L Y, Fan H Y 2009 Opt. Commun. 282 4379

施引文献

[1]	Bouwmeester D 2000 The Physics of Quantum Information (Berlin: Springer)
[2]	Dodonov V V 2002 J. Opt. B: Quantum Semiclassical Opt. 4 R1
[3]	Short R, Mandel L 1983 Phys. Rev. Lett. 51 384
[4]	Wigner E 1932 Phys. Rev. 40 749
[5]	Hillery M 1984 Phys. Rep. 106 121
[6]	Schleich W P 2001 Quantum Optics in Phase Space (Berlin: Wiley-VCH)
[7]	Anatole K, Karol Z 2004 J. Opt. B: Quantum Semiclass. Opt. 6 396
[8]	Meng X G, Wang J S 2007 Acta Phys. Sin. 56 4578 (in Chinese) [孟祥国、王继锁 2007 56 4578]
[9]	Meng X G, Wang J S, Liang B L 2007 Acta Phys. Sin. 56 2160 (in Chinese) [孟祥国、王继锁、梁宝龙 2007 56 2160]
[10]	Hu L Y, Fan H Y 2009 Chin. Phys. B 18 4657
[11]	Ye B, Xu W B, Gu B J 2008 Acta Phys. Sin. 57 0689 (in Chinese) [叶宾、须文波、顾斌杰 2008 57 0689]
[12]	Hu L Y, Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
[13]	Hu L Y, Fan H Y 2009 Phys. Scr. 79 035004
[14]	Fan H Y, Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[15]	Fan H Y, Hu L Y 2008 Opt. Commun. 281 5571
[16]	Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831
[17]	Fan H Y, Zaidi H R 1988 Phys. Rev. A 37 2985
[18]	Fan H Y 1997 Representation and Transformation Theory in Quantum Mechanics (Shanghai: Shanghai Scientific and Technical Publisher) (in Chinese) [范洪义 1997 量子力学表象与变换论(上海:上海科技出版社)]
[19]	Fan H Y, Wunsche A 2000 J. Opt. B: Quantum Semiclass. Opt. 2 464
[20]	Fan H Y, Chen J H 2002 Commun. Theor. Phys. 38 147
[21]	Fan H Y 2005 From Quantum Mechanics to Quantum Optics——Development of the Mathematical Physics (Shanghai: Shanghai Jiao Tong University Press) (in Chinese) [范洪义 2005 从量子力学到量子光学——数理进展(上海:上海交通大学出版社)]
[22]	Glauber R J 1963 Phys. Rev. 130 2529
[23]	Klauder J R, Skargerstam B S 1985 Coherent States (Singapore: World Scientific)
[24]	Olivares S, Paris M G A 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S616
[25]	Hu L Y, Fan H Y 2009 Chin. Phys. B 18 902
[26]	Fan H Y, Hu L Y 2009 Chin. Phys. B 18 0611
[27]	Lee C T 1990 Phys. Rev. A 42 1608
[28]	Fan H Y, Tang X B 2008 Development of the Mathematical Physics in Quantum Mechanics (Hefei: University of Science and Technology of China Press)(in Chinese)[范洪义、唐绪兵 2008 量子力学数理基础进展(合肥:中国科技大学出版社)]
[29]	Hu L Y, Fan H Y 2009 Opt. Commun. 282 4379

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