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

LIANG Mai-Lin; YUAN Bing

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《中国物理C》（英文）编辑部

2024年10月30日

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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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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沈阳化工大学材料科学与工程学院沈阳 110142

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.