Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

WANG Zhong-Qing

Chinese Physics C> 2001, Vol. 25> Issue(10) : 964-970

Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

WANG Zhong-Qing ^,

Department of Applied physics, University of Petroleum, Dongying 257061, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The antibunching effect for the eigenstates of the k-th powers of the annihilation operator of two-parameter deformed harmonic oscillator (akqs,k≥3) is studied. Using the numerical method , we have studied the influences of the two parameter (qs) deformation on the effect in the case of k = 3. It is shOwn that the eigenstates of akqs have anibunching effect when x = |α|²,which reflects the intensity of the two-parameter deformed light field, is in values of certain intervals. The effect is evidently influeneed by the values of paratnters q and s.

References

[1]

Demidov E E,Manin Yu I,Mukin E E et al. PrOg. Theor. Phys. Supp. 1990,102:302 2 Sudbery A .J. Phys, 1990,A23: l697 3 Schirramcher A,Wess J,Zumino B. J. Phys.,1991,C49:317 4 Buedik C,Hlavaty L. J. Phys., 1991,A24: 1655 Chakrabarti R,Jagannathan R.J. Phys., 1991, A24: L711 6 Jing S. Mod. Phys. Lett.,1993,A8:543 7 YU Zhao–Xian, LIU Ye–Hou et al. High Energy Phys. and Nucl. Phys., 1995,19:258(in Chinese)(于肇贤,刘业厚等.高能物理与核物理,1995,19:258)8 ZHOU Huan–Qiang,HE JingSong et al. High Energy Phys. and Nucl. Phys.1995,19:251 (in Chinese)(周焕强,贺劲松等.高能物理与核物理,1995,19:251) 9 WANG Ji–Suo,SUN Chang–Yong et al. High Edergy Phys. and Nucl. Phys., 1996,20:703(in Chinese)(王继锁,孙长勇等.高能物理与核物理,1996,20:703)10 WANG Ji–Suo, SUN Chang–Yong et al. High Energy Phys. and Nucl. Phys., 1997,21:793(in Chinese)(王继锁,孙长勇等.高能物理与核物理,1997,21:793)11 Walls D F. Nature, 1983,306: 141 12 PENG Shi–An, GUO Guang–Can. Acta Physica Sinica, 1990,39:51 (in Chinese)(彭石安,郭光灿.物理学报,1990,39:51)13 Sun J Z, Wang J S,Wang C K. Phys. Rev., 1991,A44:3369 14 Wg J S,Wang C K, He J Y. Phys. Lett., 1995,A199: 137

[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]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[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]	An Nan , YANG Xin-E . Calculation and Generalization of Non-Adiabatic Geometric Phase of Isotonic Oscillator with Operator Decomposition. Chinese Physics C, 2005, 29(4): 350-353.
[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 . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[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]	WANG Zhong-Qing . Antibunching Effect of k-Boson q-Coherent States. Chinese Physics C, 2002, 26(6): 576-581.
[10]	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.
[11]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[12]	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.
[13]	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.
[14]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[15]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[16]	Wang Jisuo , Sun Changyong , Teng Aiping . Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}. Chinese Physics C, 1997, 21(9): 793-800.
[17]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[18]	Zhou Huanqiang , He Jingsong , Guan Xiwen . Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(5): 420-423.
[19]	Zhou Huanqiang , He Jingsong , Zhang Xinming . Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(3): 251-257.
[20]	YANG Xian-Jun , FAN Xi-Pei . State Densities of Deformed Nuclei Based on Axisymmetric Harmonic Oscillator Potential. Chinese Physics C, 1992, 16(5): 431-438.

Access

Get Citation

WANG Zhong-Qing. Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 2001, 25(10): 964-970.

WANG Zhong-Qing. Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 2001, 25(10): 964-970. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2000-11-21
Revised: 1900-01-01

Article Metric

Article Views(2750)
PDF Downloads(579)
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 for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Corresponding author: WANG Zhong-Qing,

Department of Applied physics, University of Petroleum, Dongying 257061, China

Received Date: 2000-11-21

Accepted Date: 1900-01-01

Available Online: 2001-10-05

Abstract: The antibunching effect for the eigenstates of the k-th powers of the annihilation operator of two-parameter deformed harmonic oscillator (akqs,k≥3) is studied. Using the numerical method , we have studied the influences of the two parameter (qs) deformation on the effect in the case of k = 3. It is shOwn that the eigenstates of akqs have anibunching effect when x = |α|²,which reflects the intensity of the two-parameter deformed light field, is in values of certain intervals. The effect is evidently influeneed by the values of paratnters q and s.

HTML

Reference (1)

Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article