Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(6) : 576-581

Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing ^,

Department of Applied Physics, University of Petroleum, Dongying Shandong 257061, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The antibunching effect for the eigenstates of the q-deformed annihilation operator a_q^k(k≥3) is investigated. Using the numerical method, we have studied the influences of the q-parameter deformation on the effect in the case of k=3. The results show that the eigenstates of a_q^k exhibit antibunching effect when x=|z|², i.e. the intensity of the oscillator in q-deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q. When the intensity of the q-deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.

References

[1]

. Biedenharn L C. J. Phys.,1989, A22:L8732. Macfarlance A J. J. Phys.,1989, A22:4581 3. SUN Chang-Pu, FU Hong-Chen. J. Phys.,1989,A22:L9834. SONG Xing-Chang. J. Phys.,1990, A23:L821 5. Gray R W, Nelson C A. J. Phys.,1990,A23:L9456. Chaichian M, Ellinas D, Kulish P. Phys. Rev. Lett.,1990,65:980 7. Brachen A J et al. J. Phys.,1990,A24:1379 8. WANG Zhong-Qing. Acta Physica Sinica, 2001, 50:690(in Chinese)(汪仲清.物理学报,2001,50:690) 9. KUANG Le-Man, WANG Fa-Bo. Phys. Lett.,1993, A173:221;1992, A169:225 10. WANG Fa-Bo, KUANG Le-Man. J. Phys.,1993,A26:293 11. Jurco B. Lett. Math. Phys.,1991,21:51 12. KUANG Le-Man, WANG Fa-Bo et al. Phys. Lett.,1993,A176:1 13. WANG Ji-Suo, WANG Chuan-Kui, He Jin-Yu. Phys. Lett.,1995,A199:13714. Walls D F. Nature, 1983,306:141 15. FANG Xiang-Zheng, RUAN Tu-Nan. High Energy Phys. and Nucl. Phys.,2000,24:269(in Chinese)(方向正,阮图南.高能物理与核物理,2000,24:269) 16. SUN Jin-Zuo, WANG Ji-Suo, WANG Chuan-Kui. Phys. Rev.,1991,A44:3369

[1]	ZHANG Hui-Hui , ZHOU Xiao-Guang . Antibunching Properties of q-Deformed Coherent Light Field Interacting with a Cascade Three-Level Atom. Chinese Physics C, 2007, 31(4): 337-340.
[2]	WANG Zhong-Qing , DUAN Chang-Kui . Phase Probability Distributions of Pair q-Coherent States. Chinese Physics C, 2006, 30(3): 273-276.
[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]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[9]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[10]	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.
[11]	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.
[12]	JIANG Jun-Qin . Statistic Properties of the Excited Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(4): 331-337.
[13]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[14]	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.
[15]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[16]	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.
[17]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[18]	Xie Wenfang . Q-Effect of Structures of 3-Particle Systems. Chinese Physics C, 1997, 21(5): 465-469.
[19]	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.
[20]	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.

Access

Get Citation

WANG Zhong-Qing. Antibunching Effect of k-Boson q-Coherent States[J]. Chinese Physics C, 2002, 26(6): 576-581.

WANG Zhong-Qing. Antibunching Effect of k-Boson q-Coherent States[J]. Chinese Physics C, 2002, 26(6): 576-581. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-09-04
Revised: 1900-01-01

Article Metric

Article Views(2631)
PDF Downloads(480)
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

Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing ^,

Corresponding author: WANG Zhong-Qing,

Department of Applied Physics, University of Petroleum, Dongying Shandong 257061, China

Received Date: 2001-09-04
Accepted Date: 1900-01-01
Available Online: 2002-06-05

Abstract: The antibunching effect for the eigenstates of the q-deformed annihilation operator a_q^k(k≥3) is investigated. Using the numerical method, we have studied the influences of the q-parameter deformation on the effect in the case of k=3. The results show that the eigenstates of a_q^k exhibit antibunching effect when x=|z|², i.e. the intensity of the oscillator in q-deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q. When the intensity of the q-deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.