A new finite-dimensional thermal coherent state and its Wigner distribution function

doi:10.1088/1674-1056/20/1/014204

Abstract This paper constructs a new type of finite-dimensional thermal coherent states (FDTCS), which differs from the proceeding thermal coherent state in construction, as realisations of SU(2) Lie algebra. Using the technique of integration within an ordered product of operator, it investigates the orthonormality and completeness relation of the FDTCS. Based on the thermal Wigner operator in the thermal entangled state representation, the Wigner function of the FDTCS is obtained. The nonclassical properties of the FDTCS are discussed in terms of the negativity of its Wigner function.

Keywords: new finite-dimensional thermal coherent state thermal entangled state representation Wigner distribution function

Received: 27 April 2010
Revised: 02 June 2010
Accepted manuscript online:

PACS:	42.50.-p	(Quantum optics)
	03.65.-w	(Quantum mechanics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A23 and ZR2010AQ027) and the Shandong Province Higher Educational Science and Technology Program, China (Grant Nos. J09LA07 and J10LA15).

Cite this article:

Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙) A new finite-dimensional thermal coherent state and its Wigner distribution function 2011 Chin. Phys. B 20 014204

[1]	Agawal G S 1986 Phys. Rev. Lett. 57 827
[2]	Agawal G S 1988 J. Opt. Soc. Am. B 5 1940
[3]	Xu X F and Fan H Y 2006 Mod. Phys. Lett. A 21 911
[4]	Xu X F and Zhu X Q 2008 Chin. Phys. Lett. 25 2762
[5]	H. Umezawa 1996 Int. J. Mod. Phys. B 10 1469
[6]	Takahashi Y and Umezawa H H 1975 Collective Phenom-ena 2 55
[7]	Fan H Y and Fan Y 1998 Phys. Lett. A 246 242
[8]	Fan H Y, Zaidi H R and Klauder J R 1987 Phys. Rev. D 35 1831
[9]	Fan H Y 2004 Inter. J. Mod. Phys. B 18 1387
[10]	Wu Y and Yang X 2007 Phys Rev. Lett. 98 013601
[11]	Wu Y and Deng L 2004 Phys Rev. Lett. 93 143904
[12]	Wang J S, Fan H Y and Meng X G 2010 Chin. Phys. B 19 034206
[13]	Meng X G, Wang J S and Liang B L 2009 Chin. Phys. B 18 2300

[1]	Nonclassicality of photon-modulated spin coherent states in the Holstein—Primakoff realization Xiaoyan Zhang(张晓燕), Jisuo Wang(王继锁), Lei Wang(王磊),Xiangguo Meng(孟祥国), and Baolong Liang(梁宝龙). Chin. Phys. B, 2022, 31(5): 054205.
[2]	Evolution law of a negative binomial state in an amplitude dissipative channel Chen Feng (陈锋), Fan Hong-Yi (范洪义). Chin. Phys. B, 2014, 23(3): 030304.
[3]	New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function Meng Xiang-Guo (孟祥国), Wang Ji-Suo (王继锁), Liang Bao-Long (梁宝龙). Chin. Phys. B, 2013, 22(3): 030307.
[4]	The Wigner distribution function of a super Lorentz–Gauss SLG₁₁ beam through a paraxial ABCD optical system Zhou Yi-Min (周益民), Zhou Guo-Quan (周国泉). Chin. Phys. B, 2013, 22(10): 104201.
[5]	Wigner function and the entanglement of quantized Bessel–Gaussian vortex state of quantized radiation field Zhu Kai-Cheng (朱开成), Li Shao-Xin (李绍新), Tang Ying (唐英), Zheng Xiao-Juan (郑小娟), Tang Hui-Qin (唐慧琴 ). Chin. Phys. B, 2012, 21(8): 084204.
[6]	Decoherence of elliptical states in phase space Wang Yue-Yuan (王月媛), Liu Zheng-Jun (刘正君), Liao Qing-Hong (廖庆洪), Wang Ji-Cheng (王继成), Liu Shu-Tian (刘树田). Chin. Phys. B, 2011, 20(5): 054201.
[7]	Relations between chirp transform and Fresnel diffraction, Wigner distribution function and a fast algorithm for chirp transform Shi Peng(石鹏) , Cao Guo-Wei(曹国威), and Li Yong-Ping(李永平). Chin. Phys. B, 2010, 19(7): 074201.
[8]	The Wigner function and phase properties of superposition of two coherent states with the vacuum state Wang Yue-Yuan (王月媛), Wang Ji-Cheng (王继成), Liu Shu-Tian (刘树田). Chin. Phys. B, 2010, 19(7): 074206.
[9]	Fractional Fourier transform of flat-topped multi-Gaussian beams based on the Wigner distribution function Wu Ping (吴平), Lü Bai-Da (吕百达), Chen Tian-Lu (陈天禄). Chin. Phys. B, 2005, 14(6): 1130-1135.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

A new finite-dimensional thermal coherent state and its Wigner distribution function

Cite this article:

Online attention