Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States

  • The higher-order powers of squeezing properties of light field for odd and even two-parameter deformed-coherent states have been studied, and the numerical method is used to investigate the influence of the two parameters (q and s) on the properties. The results show that the odd and the even qs-deformed coherent states can exhibit odd number powers of squeezing but no even number powers of squeezing effects. These properties are different from those of the states of the conventional no-deformed light field. These effects can be shown in a number of intervals alternately when r2, which reflects the intensity of the light field in two-parameter deformed coherent state, is changed. When the two parameters q and s are taken certain values and r2 is taken value in a certain interval, the larger of parameter q which deviated from 1 and the smaller of parameter s, the intervals of the unusual properties become larger. The relevant results of the even and odd q-coherent states are contained in more general conclusion of this paper as special case.
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  • [1] . Biedenharn L C .J.Phys.,1989,A22:L873 2. SUN C P ,FU H C .J. Phys.,1989,A22:L9833. Chaichiur M ,Ellinas D ,Kullish P .Phys.Rev.Lett.,1990,65:980. 4. Quesne C .Phys.Lett.,1991,A153:303. 5. Kuang L M ,Wang F B .Phys.Lett.,1993,A173:221. 6. ZHU CongXu.Acta Optica Sinica,1999,19:441(in Chinese)(朱从旭.光学学报,1999,19:441). 7. WANG ZhongQing.Acta Physica Sinica,2001,50:690(in Chinese)(汪仲清.物理学报,2001,50:690). 8. Schrirrmacher A ,Wess J,Zumine B .Z .Phys.,1991,C49:317. 9. WANG F B ,KUANG L M .J. Phys.(A),1993,26:29310. Sudbery A .J .Phys.(A),1990,23:L69711. Chakrabarti R ,Jagannathan R .J.Phys.,1991,A24:L711 12. ZHOU HuanQiang,HE JingSong,ZHANG XinMing.High Energy Physics and Nuclear Physics,1995,19:251(in Chinese)(周焕强,贺劲松,张新明.高能物理与核物理,1995,19:251)13. CHEN ChangYuan,LIU YouWen.High Energy Physics and Nuclear Physics,2001,25:193(in Chinese)(陈昌远,刘友文.高能物理与核物理,2001,25:193)
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WANG Zhong-Qing. Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States[J]. Chinese Physics C, 2001, 25(12): 1158-1164.
WANG Zhong-Qing. Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States[J]. Chinese Physics C, 2001, 25(12): 1158-1164. shu
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Received: 2001-04-16
Revised: 1900-01-01
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Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States

    Corresponding author: WANG Zhong-Qing,
  • Department of Applied-Physics, University of Petroleum, Dongying 257061, China

Abstract: The higher-order powers of squeezing properties of light field for odd and even two-parameter deformed-coherent states have been studied, and the numerical method is used to investigate the influence of the two parameters (q and s) on the properties. The results show that the odd and the even qs-deformed coherent states can exhibit odd number powers of squeezing but no even number powers of squeezing effects. These properties are different from those of the states of the conventional no-deformed light field. These effects can be shown in a number of intervals alternately when r2, which reflects the intensity of the light field in two-parameter deformed coherent state, is changed. When the two parameters q and s are taken certain values and r2 is taken value in a certain interval, the larger of parameter q which deviated from 1 and the smaller of parameter s, the intervals of the unusual properties become larger. The relevant results of the even and odd q-coherent states are contained in more general conclusion of this paper as special case.

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