Phase Probability Distributions of Pair q-Coherent States

WANG Zhong-Qing; DUAN Chang-Kui

Chinese Physics C> 2006, Vol. 30> Issue(3) : 273-276

Phase Probability Distributions of Pair q-Coherent States

WANG Zhong-Qing ^, ,
DUAN Chang-Kui

College of Optical and Electronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China2 Key Laboratory of Micro-electronic Engineering of Chongqing, Chongqing 400065, China

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Abstract：
Based on our previous work, the phase state and phase operator introduced by Pegg and Barnett are generalized to two-mode q-deformed circumstances. With the aid of numerical method, the phase probability distributions of q-deformed pair coherent state are investigated.It is shown that these probability distributions of the state are regulated by the parameters of phase, the q-number and the magnitude of │ξ│.Therefore, the q-deformed pair coherent state exhibits different quantum interference properties.

References

[1]

. Carruthers P, Nieto M. Rev. Mod. Phys., 1968, 40(2): 4112. Sanders B C, Barnett S M et al. Opt. Commun., 1986,58(4): 2903. Fan H Y, Zaidi H R. Opt. Commun., 1988, 68(2): 1434. Pegg D T, Barnett S M. Europhys. Lett., 1988, 6(6): 4835. Pegg D T, Barnett S M. Phys. Rev., 1989, A39(4): 16656. Barnett S M, Pegg D T. J. Mod. Opt., 1989, 36(1): 77. Gantsog Ts, Tanas R. Opt. Commun., 1991, 82(1-2): 1458. Lynch R. Phys. Rev., 1990, A41(5): 28419. GrΦbech-Jensen N, Christiansen P L et al. J. Opt. Soc.Am., 1989, B6(12): 242310. Schleich W, Horowicz R J, Varro S. Phys. Rev., 1989,A40(12): 740511. WANG Ji-Suo, LIU Tang-Kun et al. Acta Physica Sinica,2004, 53(11): 3729(in Chinese)(王继锁,刘堂昆等.物理学报,2004, 53(11): 3729)12. Dung H T, Tans R, Shumovsky A S. J. Mod. Opt., 1991,38(10): 206913. Agarwal G S. Phys. Rev. Lett., 1986, 57(7): 82714. Agarwal G S. J. Opt. Soc. Am., 1988, B5(9): 194015. SONG Tong-Qiang, ZHU Yue-Jin. Acta Optica Sinica,2003, 23(8): 906(in Chinese)(宋同强,诸跃进.光学学报,2003, 23(8): 906)16. WANG Zhong-Qing, LI Jun-Hong et al. High Energy Phys.and Nucl. Phys., 2005, 29(6): 623(江仲清,李俊红等.高能物理与核物理,2005, 29(6): 623)17. Biedenharn L C. J. Phys., 1989, A22: L873

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WANG Zhong-Qing and DUAN Chang-Kui. Phase Probability Distributions of Pair q-Coherent States[J]. Chinese Physics C, 2006, 30(3): 273-276.

WANG Zhong-Qing and DUAN Chang-Kui. Phase Probability Distributions of Pair q-Coherent States[J]. Chinese Physics C, 2006, 30(3): 273-276. shu

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Received: 2005-06-30
Revised: 2005-09-27

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Phase Probability Distributions of Pair q-Coherent States

Corresponding author: WANG Zhong-Qing,

College of Optical and Electronic Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China2 Key Laboratory of Micro-electronic Engineering of Chongqing, Chongqing 400065, China

Received Date: 2005-06-30

Accepted Date: 2005-09-27

Available Online: 2006-03-05

Abstract: Based on our previous work, the phase state and phase operator introduced by Pegg and Barnett are generalized to two-mode q-deformed circumstances. With the aid of numerical method, the phase probability distributions of q-deformed pair coherent state are investigated.It is shown that these probability distributions of the state are regulated by the parameters of phase, the q-number and the magnitude of │ξ│.Therefore, the q-deformed pair coherent state exhibits different quantum interference properties.

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Phase Probability Distributions of Pair q-Coherent States

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