Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

WANG Ji-Suo; LIU Tang-Kun; ZHAN Ming-Sheng

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> 2001, Vol. 25> Issue(1) : 11-15

Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics ,the Chinese Academy of Sciences, Wuhan 430071, China2 Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics,The Chinese Academy of Sciences, Hefei 230031, China3 Department of Physics, of Liaocheng Teachers University, Liaocheng 252059, China4 Department of Physics, Hubei Normal University, Huangshi 435002, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space, and the odd-order squeezing effects exist in all of the states.

References

[1]

Pocek M. Phys. Lett., 1991,B255:554 2 Delbecq C,Quesne C. J. Phys., 1993,A26: L1273 Biedenharn L C. J. Phys.,1989,A22:L8724 CHANG Zhe,CHEN Wei,GUO Han–Ying. J. Phys., 1990,A23:41855 CHANG Zhe,CHEN Wei,YAN Hong. J. Phys., 1990,A23:42356 Cordriansky S. Phys. Lett., 1994,A184:381 7 XU Zi–Wen. High Energy Phys. and Nucl. Phys., 1999,23:436(in Chinese)(徐子. 高能物理与核物理,1999,23:436)8 YU Zhao–Xian,WANG Ji–Suo et al. Acta Physica Sinica, 1997,46: 1693 (in Chinese)(于肇贤,王继锁等物理学报,1997,46:1693) 9 XU Zi–Wen. Acta Physica Sinica, 1996,45: 1807 (in Chinese)(徐子. 物理学报,1996,45:1807)10 WANG Ji–Suo,LIU Tang–Kun,ZHAN Ming–Sheng. High Energy Phys. and Nucl. Phys.,2000,24: 1114(in Chinese)(王继锁, 刘堂昆, 詹明生. 高能物理与核物理,2000,24:1114)11 HAO San–Ru. Acta Physica Sinica, 1993,42:691 (in Chinese)(郝三如. 物理学报,1993,42:691) 12 ZHANG A M ,XU L et al. Phys. Lett.,1990,A150:27

[1]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-scale Perturbation Theory of Sextic Anharmonic Oscillator. Chinese Physics C, 2006, 30(6): 513-516.
[2]	CHENG Yan-Fu , DAI Tong-Qing . Multiple-Scale Perturbation Theory of Generalized Anharmonic Oscillator. Chinese Physics C, 2006, 30(10): 944-949.
[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]	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]	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.
[8]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[9]	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.
[10]	JIANG Jun-Qin . Statistic Properties of the Excited Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(4): 331-337.
[11]	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.
[12]	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.
[13]	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.
[14]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[15]	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.
[16]	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.
[17]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
[18]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[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 Ji-Suo, LIU Tang-Kun and ZHAN Ming-Sheng. Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(1): 11-15.

WANG Ji-Suo, LIU Tang-Kun and ZHAN Ming-Sheng. Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(1): 11-15. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1999-12-08
Revised: 1900-01-01

Article Metric

Article Views(1633)
PDF Downloads(681)
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

Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator

Corresponding author: WANG Ji-Suo,

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics ,the Chinese Academy of Sciences, Wuhan 430071, China2 Laser Spectroscopy Laboratory, Anhui Institute of Optics and Fine Mechanics,The Chinese Academy of Sciences, Hefei 230031, China3 Department of Physics, of Liaocheng Teachers University, Liaocheng 252059, China4 Department of Physics, Hubei Normal University, Huangshi 435002, China

Received Date: 1999-12-08
Accepted Date: 1900-01-01
Available Online: 2001-01-05

Abstract: The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space, and the odd-order squeezing effects exist in all of the states.