Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States

LIANG Mai-Lin; YUAN Bing

Chinese Physics C> 2002, Vol. 26> Issue(9) : 900-903

Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States

LIANG Mai-Lin ^, ,
YUAN Bing

Department of Applied Physics,Tianjin University,Tianjin 300072,China

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Abstract：
It is shown that the possible higher squeezing order of the superposition state β>+eiφ βeiδ> of the generalized coherent states of the q deformed non-harmonic oscillator can be expressed as k≠2π n/δ,with n an integer and δ the phase difference between the two generalized coherent states. When δ=π,the order of squeezing can only be odd,which is just the result of the generalized even and odd coherent states of the q deformed non-harmonic oscillator;when δ takes other values,the squeezing order can be even. These results show that the parameter phase difference δ plays the key role in determining the possible squeezing order.

References

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Biedenham L C. J. Phys.,1989,A22(18):8732 HA0 San-Ru. Acts Phys. Sin., 1993,42(7) : 1057(in Chinese)(郝三如.物理学报,1993,42(7):1057)3 KUANG L M, WANG F B. Phys. Lett.,1992,A169(4) :2254 WANC; F B.KUANG L M. J. Phys.,1993,A26(2) :2935 WANC. Zhong-Qing. Acta Phys. Sin.,2001,50(4) :690(in Chinese)(汪仲清.物理学报,2001,50(4):690) 6 XU Zi-Wen. High Energy Phys. and Nucl. Phys.,1999,23:436( in Chinese))(徐子馼.高能物理与核物理,1999,23:436) 7 WANG Ji-Sun, LIU Tang-Kun, ZHAN Ming-Sheng. High Energy Phys. and Nucl . Phys.,2001.25: 11 (in Chinese))(王继锁,刘堂昆,詹明生.高能物理与核物理,2001,25:11)8 YU Zhao-Xian, WANG Ji-Sun et al. Acta Phys. Sin. . 1997,46: 1693(in Chinese))(于肇贤,王继锁等.物理学报,1997,46:1693)9 SUN J Z et al. Chinese J of Quantum EIectronics.1992.9(4) :397(in Chinese))(孙金祚等.量子电子学,1992,9(4):397) 10 ZHANG Z et al. Phys. Lett.,1990, Also(1) : 27

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LIANG Mai-Lin and YUAN Bing. Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States[J]. Chinese Physics C, 2002, 26(9): 900-903.

LIANG Mai-Lin and YUAN Bing. Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States[J]. Chinese Physics C, 2002, 26(9): 900-903. shu

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Received: 2001-11-01
Revised: 1900-01-01

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Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States

LIANG Mai-Lin ^,
YUAN Bing

Corresponding author: LIANG Mai-Lin,

Department of Applied Physics,Tianjin University,Tianjin 300072,China

Received Date: 2001-11-01
Accepted Date: 1900-01-01
Available Online: 2002-09-05

Abstract: It is shown that the possible higher squeezing order of the superposition state β>+eiφ βeiδ> of the generalized coherent states of the q deformed non-harmonic oscillator can be expressed as k≠2π n/δ,with n an integer and δ the phase difference between the two generalized coherent states. When δ=π,the order of squeezing can only be odd,which is just the result of the generalized even and odd coherent states of the q deformed non-harmonic oscillator;when δ takes other values,the squeezing order can be even. These results show that the parameter phase difference δ plays the key role in determining the possible squeezing order.