Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator

WANG Zhong-Qing

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2001, Vol. 25> Issue(11) : 1044-1050

Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator

WANG Zhong-Qing ^,

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

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Abstract：
The higher-order squeezing and antibunching effect for the odd and even generalized q-coherent states of the non-harmonic oscillator are investigated. The numerical method is used to study these effects for the two expressions of q-number[χ]. It is shown that the odd and even generalized q-coherent states of the non-harmonic oscillator present higher-order (order of odd number) squeezing effect and antibunching effect respectively,and these optical statistics properties are very different from those of the states of the harmonic oscillator.

References

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. Schrodinger E .Naturwissenschaften,1926,14:664 2. Glauber R J. Phys.Rev.,1963,130:25293. Nieto M M ,Simmons L M .Phys.Rev.,1979,D20:13214. Poce k M .Phys.Lett.,1991,B255:554 5. Delbecq C ,Quesne C .J. Phys.,1993,A26:L1276. Biedenharn L C .J. Phys.,1989,A22:L872. 7. CHANG Zhe,CHEN Wei,GUO HanYing.J.Phys.,1990,A23:4185 8. CHANG Zhe,CHEN Wei,YAN Hong.J.Phys.,1990,A23:4235 9. XU ZiWen.High Energy Physics and Nuclear Physics,1999,23:436(in Chinese)(徐子.高能物理与核物理,1999,23:436) 10. ZHU DongPei.J.Phys.,1987,A20:4331.11. ZHANG Z M ,XU L ,CHAI J L et al.Phys.Lett.,1990,A150:2712. Walls D F .Nature,1983,306:14113. YU ZhaoXian,WANG JiSuo,LIU YeHou.Acta Physica Sinca,1997,46:1693(in Chinese)(于肇贤,王继锁,刘业厚.物理学报,1997,46:1693)

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WANG Zhong-Qing. Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(11): 1044-1050.

WANG Zhong-Qing. Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator[J]. Chinese Physics C, 2001, 25(11): 1044-1050. shu

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Received: 2001-02-19
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator

WANG Zhong-Qing ^,

Corresponding author: WANG Zhong-Qing,

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

Received Date: 2001-02-19
Accepted Date: 1900-01-01
Available Online: 2001-11-05

Abstract: The higher-order squeezing and antibunching effect for the odd and even generalized q-coherent states of the non-harmonic oscillator are investigated. The numerical method is used to study these effects for the two expressions of q-number[χ]. It is shown that the odd and even generalized q-coherent states of the non-harmonic oscillator present higher-order (order of odd number) squeezing effect and antibunching effect respectively,and these optical statistics properties are very different from those of the states of the harmonic oscillator.