Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing

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]	A. Plastino , M. C. Rocca . Tsallis' quantum q-fields. Chinese Physics C, 2018, 42(5): 053102. doi: 10.1088/1674-1137/42/5/053102
[2]	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.
[3]	WANG Zhong-Qing , DUAN Chang-Kui . Phase Probability Distributions of Pair q-Coherent States. Chinese Physics C, 2006, 30(3): 273-276.
[4]	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.
[5]	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.
[6]	JIANG Jun-Qin . Antibunching Effect of the Excited k-Boson q-Coherent States. Chinese Physics C, 2004, 28(1): 22-25.
[7]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[8]	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.
[9]	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.
[10]	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.
[11]	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.
[12]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[13]	Zhang Qingying , Fu Liping . Study of Spectra with Boson ConfigurationMixing and Surface Delta Interaction. Chinese Physics C, 1998, 22(3): 260-264.
[14]	Yao Xiaoxia , He Zhenmin , Duan Chungui , Li Guanglie , Peng Hongan . Improved Q²-Rescaling Model and the Nuclear Effect of Parton Distribution Functions. Chinese Physics C, 1997, 21(6): 548-553.
[15]	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.
[16]	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.
[17]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[18]	XU Zai-Xin . Distribution Functions of Vector Boson. Chinese Physics C, 1993, 17(7): 619-625.
[19]	WANG Baolin , QUE Jianzhong , ZHANG Qingying . On the Higher Order Effects of A Consistent Q Framework in the sd Interacting Boson Model. Chinese Physics C, 1993, 17(11): 1048-1054.
[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

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(2659)
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.