Statistic Properties of the Excited Even and Odd q-Coherent States

JIANG Jun-Qin

Chinese Physics C> 2002, Vol. 26> Issue(4) : 331-337

Statistic Properties of the Excited Even and Odd q-Coherent States

JIANG Jun-Qin ^,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

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Abstract：
In this paper, the excited odd q-coherent state a+m qα> oq and excited even q-coherent state a+m qα> eq are constructed. The q and m dependences of mean photon number and sub-Poissonian character and antibunching effect are numerically studied. It is shown that when the q is far from 1, the second-order q-correlation function exhibits oscillating phenomenon, whose amplitude and period are independent of m; but the mean photon number and the Mandel Q q parameter increase greatly as m increases; and the sub-Poissonian character is not equivalent to the antibunching effect unless q→1.

References

[1]

Haret C. Rosu. Carlos Castro. Phys. Lett., 2000, A261: 350-3562 Raychev P P, Roussev R P, Smimov Yu F. J. Phys., 1990, G16: L137; Iwao S, Prog. Thero. Phys., 1990, 83: 3633 FANG Xiang-Zheng, RUAN Tu-Nan. High Energy Phys. And Nucl. Phys., 2001, 25: 212-219; 2001. 25: 315-321(in Chinese)(方向正, 阮图南. 高能物理与核物理. 2001, 25: 212-219; 2001, 25: 315-321)4 Biedenharn L C. J. Phy, 1989. A22(18): L873-8785 WANG F B. KUANG L M. Phys. Lett., 1992, A169(4): 225-2286 KUANG L M, WANG F B. Phys. Lett., 1993, A173(3): 221-2277 ZHU Cong-Xu, WANG Fa-Bo, KUANG Le-Man. Acta Physica Sinica, 1994, 43(8): 1262-1267 (in Chinese)(朱从旭, 王发伯, 匡乐满. 物理学报, 1994, 43(8): 1262-1267)8 LIU You-Wen, CHEN Chang-Yuan. Acta Optics Sinica, 1999, 19(11): 1460-1463 (in Chinese)(刘友文, 陈昌远. 光学学报. 1999, 19(11): 1460-1463)9 WANG Xiao-Chu, LIU You-Wen. Acts Photonica Sinica, 2000, 29(11): 985-988 (in Chinese)(王晓初, 刘友文. 光子学报, 2000, 29(11): 985-988)10 WANG Zhong-Qing. Acts Physics Sinica, 2001. 50(4): 690-692 (in Chinese)(任仲清. 物理学报. 2001, 50(4): 690-692)11 Agarwal G S, Tara K. Phys. Rev., 1991. A43(l): 492-49712 ZHANG Z X, FAN H Y. Phys. Lett., 1992, A165: 14-1813 Jones G N, Haight J, Lee C T. Quantum and Semiclass Opt., 1997, 9: 411-41814 ZHANG Z X, FAN H Y. Phys. Lett., 1993, A174(3): 206-20915 LU Hong, GUO Guang-Can. Acts Physics Sinica (Overseas Edition), 1999, 8(8): 577-58216 LU Hong. Chin. Phys. Lett, 1999, 16(9): 646-64717 HUANG Chun-Qing, Lu Hong. Acte Photonica Sinica, 2000, 29(6): 481-486 (in Chinese)(黄纯青, 路洪. 光子学报, 2000, 29(6): 481-486)18 JIANG Jun-Qin. WANG Chun-Qing, Lu Hong. Acts Photonica Sinica, 2000. 29(11): 989-992 (in Chinese)(江俊助, 黄纯青, 路洪. 光子学报, 2000, 2900: 989-992)19 Teich M. C, Saleh B E A, Stoler D. Optics Comm., 1983, 46: 74420 YAO De-Min, GUO Guang-Can. Acta Physics Sinica, 1988, 37(3): 463-468 (in Chinese)(姚德民, 郭光灿. 物理学报, 1988, 37(3): 463-468)

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JIANG Jun-Qin. Statistic Properties of the Excited Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(4): 331-337.

JIANG Jun-Qin. Statistic Properties of the Excited Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(4): 331-337. shu

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Received: 2001-05-18
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Statistic Properties of the Excited Even and Odd q-Coherent States

Corresponding author: JIANG Jun-Qin,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

Received Date: 2001-05-18

Accepted Date: 1900-01-01

Available Online: 2002-04-05

Abstract: In this paper, the excited odd q-coherent state a+m qα> oq and excited even q-coherent state a+m qα> eq are constructed. The q and m dependences of mean photon number and sub-Poissonian character and antibunching effect are numerically studied. It is shown that when the q is far from 1, the second-order q-correlation function exhibits oscillating phenomenon, whose amplitude and period are independent of m; but the mean photon number and the Mandel Q q parameter increase greatly as m increases; and the sub-Poissonian character is not equivalent to the antibunching effect unless q→1.

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Statistic Properties of the Excited Even and Odd q-Coherent States

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