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

Abstract
HTML
Reference
Related

PDF

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)

[1]	WANG Zhong-Qing , DUAN Chang-Kui . Phase Probability Distributions of Pair q-Coherent States. Chinese Physics C, 2006, 30(3): 273-276.
[2]	LU Dao-Ming . Phase Properties of a New Kind of Even and Odd Nonlinear Coherent States. Chinese Physics C, 2006, 30(7): 603-605.
[3]	WANG Zhong-Qing , LI Jun-Hong , AN Guang-Lei . Pair q-Coherent States and Their Antibunching Effects. Chinese Physics C, 2005, 29(6): 623-626.
[4]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[5]	JIANG Jun-Qin . Antibunching Effect of the Excited k-Boson q-Coherent States. Chinese Physics C, 2004, 28(1): 22-25.
[6]	LU Dao-Ming . Amplitude-Squared Squeezing of Generalized q -Deformation Coherent States of a Non-harmonic Oscillator in a Finite-Dimensional Hilbert Space. Chinese Physics C, 2003, 27(11): 966-968.
[7]	JIANG Jun-Qin . Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(1): 15-18.
[8]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[9]	HUANG Chun-Qing , JIANG Jun-Qin . Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(3): 196-199.
[10]	LIANG Mai-Lin , YUAN Bing . Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States. Chinese Physics C, 2002, 26(9): 900-903.
[11]	WANG Zhong-Qing . Antibunching Effect of k-Boson q-Coherent States. Chinese Physics C, 2002, 26(6): 576-581.
[12]	JIANG Jun-Qin . Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(8): 786-790.
[13]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[14]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[15]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
[16]	Ma Weixing , Li Xiguo , Lu Dinghui . Q²-Dependence of the Gerasimov-Drell-Hearn Sum Rule. Chinese Physics C, 1999, 23(9): 880-889.
[17]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[18]	Yu Zhaoxian , Liu Yehou , Li Qinglin , Liang Bifang . Study of SU(2)_q,s Coherent State by Using (q,s) Deformed Harmonic Oscillators of SU(2)_q,s Quantum Algebra. Chinese Physics C, 1995, 19(3): 258-263.
[19]	Hao Sanru , Li Guanghua , Long Junyan . q-Deformed Charged Fermion Coherent States and SU(3)Charged, Hypercharged Fermion Coherent States. Chinese Physics C, 1994, 18(10): 919-927.
[20]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2683)
PDF Downloads(568)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article