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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.
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Keywords:
- squeezing effect /
- Q-parameter /
- Wigner function /
- nonclassicality
[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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[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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