Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

HUANG Chun-Qing; JIANG Jun-Qin

Chinese Physics C> 2003, Vol. 27> Issue(3) : 196-199

Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

HUANG Chun-Qing ^, ,
JIANG Jun-Qin

Department of Physics, Foshan University, Foshan 528000, China2 Department of Physics, Guangdong Institute of Education, Guangzhou 510303, China

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Abstract：
The squeezing property of the excited odd qs coherent state a+m qs α> o qs and excited even qs coherent state a+m qs α>e qs is numerically studied. It is shown that: (1) When the q(q≤1) or s is far from 1, the state a+m qs α> o qs and state a+m qs α> e qs exhibit strong qs squeezing, and as r² increases the qs squeezing function Δe1(Δo1) exhibits the oscillating phenomenon of increasing-amplitude and increasing period. As m increases and s decreases, the amplitude of Δe1(Δo1) increases greatly. As s decreases, the period of Δe1(Δo1) increases but is independent of m. The m can be regard as the third parameter for controling the qs squeezing. (2) In general, the qs squeezing function Δe1(Δo1) is more sensitive to s than to q. That is, it is more resultful to control the qs squeezing by adjusting the parameter s than by adjusting the parameter q.

References

[1]

. HaretC .Rosu,CarlosCastro.Phys.Lett.,2000,A264:350—3562. RaychevPP ,RoussevRP ,SmimovYuF .J.Phys.,1990,G16:L137;IwaoS ,Prog.Thero.Phys.,1990,83:3633. FANGXiangZheng,RUANTuNan.HighEnergyPhys.andNucl.Phys.,2001,25:212—219;2001,25:315—321(inChinese)(方向正,阮图南.高能物理与核物理,2001,25:212—219;2001,25:315—321)4. WANGFB ,KUANGLM .Phys.Lett.,1992,A169(4):225—2285. KUANGLM ,WANGFB .Phys.Lett.,1993,A173(3):221—2276. ZHUCongXu,WANGFaBo,KUANGLeMan.ActaPhysicaSinica,1994,43(8):1262—1267(inChinese)(朱从旭,王发伯,匡乐满.物理学报,1994,43(8):1262—1267)7. WANGZhongQing.ActaPhysicaSinica,2001,50(4):690—692(inChinese)(汪仲清.物理学报,2001,50(4):690—692)8. ZHOUHuanQiang,HEJingSong,ZHANGXinMing.HighEnergyPhys.andNucl.Phys.,1995,19:251—257(inChinese)(周焕强,贺劲松,张新明.高能物理与核物理,1995,19:251—257)9. WANGJiSuo,SUNChangYong,ZHAOMingJian.ActaOpticaSinica,1997,17(3):293—297(inChinese)(王继锁,孙长勇,赵铭健.光学学报,1997,17(3):293—297)10. WANGZhongQing.HighEnergyPhys.andNucl.Phys.,2001,25(12):1158—1164(inChinese)(汪仲清.高能物理与核物理,2001,25(12):1158—1164)11. AgarwalGS ,TaraK .Phys.Rev.,1991,A43(1):492—49712. JIANGJunQin.HighEnergyPhys.andNucl.Phys.,2002,26(4):331—337(inChinese)(江俊勤.高能物理与核物理,2002,26(4):331—337)13. JIANGJunQin.HighEnergyPhys.andNucl.Phys.,2002,26(8):786(inChinese)(江俊勤.高能物理与核物理,2002,26(8):786)14. JIANGJunQin.HighEnergyPhys.andNucl.Phys.,2003,27:15(inChinese)(江俊勤.高能物理与核物理,2003,27:15)

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[13]	WANG Ji-Suo , LIU Tang-Kun , ZHAN Ming-Sheng . Higher-Order Squeezing for Generalized Odd and Even Coherent States of a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2001, 25(1): 11-15.
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[16]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅱ). Chinese Physics C, 1998, 22(1): 28-33.
[17]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algebraic Structure of Two-Parameter Deformed Multi-mode Bose Operators and Their Applications (Ⅲ). Chinese Physics C, 1998, 22(3): 225-233.
[18]	Yu Zhaoxian , Zhang Dexing , Liu Yehou . Algbraic Structure of Two-Parameter Deformed Multi-Mode Bose Operators and Their Applications (Ⅰ). Chinese Physics C, 1997, 21(11): 999-1004.
[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.

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HUANG Chun-Qing and JIANG Jun-Qin. Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States[J]. Chinese Physics C, 2003, 27(3): 196-199.

HUANG Chun-Qing and JIANG Jun-Qin. Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States[J]. Chinese Physics C, 2003, 27(3): 196-199. shu

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Received: 2002-06-17
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

Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

Corresponding author: HUANG Chun-Qing,

Department of Physics, Foshan University, Foshan 528000, China2 Department of Physics, Guangdong Institute of Education, Guangzhou 510303, China

Received Date: 2002-06-17

Accepted Date: 1900-01-01

Available Online: 2003-03-05

Abstract: The squeezing property of the excited odd qs coherent state a+m qs α> o qs and excited even qs coherent state a+m qs α>e qs is numerically studied. It is shown that: (1) When the q(q≤1) or s is far from 1, the state a+m qs α> o qs and state a+m qs α> e qs exhibit strong qs squeezing, and as r² increases the qs squeezing function Δe1(Δo1) exhibits the oscillating phenomenon of increasing-amplitude and increasing period. As m increases and s decreases, the amplitude of Δe1(Δo1) increases greatly. As s decreases, the period of Δe1(Δo1) increases but is independent of m. The m can be regard as the third parameter for controling the qs squeezing. (2) In general, the qs squeezing function Δe1(Δo1) is more sensitive to s than to q. That is, it is more resultful to control the qs squeezing by adjusting the parameter s than by adjusting the parameter q.

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Squeezing Property of the Excited Two-Parameter Deformed Even and Odd Coherent States

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