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

Abstract
HTML
Reference
Related

PDF

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)

[1]	LU Dao-Ming . Phase Properties of a New Kind of Even and Odd Nonlinear Coherent States. Chinese Physics C, 2006, 30(7): 603-605.
[2]	WANG Zhong-Qing , DUAN Chang-Kui . Phase Probability Distributions of Pair q-Coherent States. Chinese Physics C, 2006, 30(3): 273-276.
[3]	WANG Zhong-Qing , LI Jun-Hong , AN Guang-Lei . Pair q-Coherent States and Their Antibunching Effects. Chinese Physics C, 2005, 29(6): 623-626.
[4]	WANG Zhong-Qing , ZHOU Ping , ZHU Lian-Xuan , DAI Hong-Ying . Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties. Chinese Physics C, 2004, 28(4): 365-369.
[5]	LU Dao-Ming . Amplitude-Squared Squeezing of Generalized q -Deformation Coherent States of a Non-harmonic Oscillator in a Finite-Dimensional Hilbert Space. Chinese Physics C, 2003, 27(11): 966-968.
[6]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[7]	LIANG Mai-Lin , LI Yu-Rong . Internal Structure and Squeezing Properties of Some Macroscopic Quantum States. Chinese Physics C, 2003, 27(1): 19-23.
[8]	JIANG Jun-Qin . Antibunching Effect of the Excited Two-Parameter Deformed Even and Odd Coherent States. Chinese Physics C, 2003, 27(1): 15-18.
[9]	JIANG Jun-Qin . Statistic Properties of the Excited Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(4): 331-337.
[10]	LIANG Mai-Lin , YUAN Bing . Phase Difference and the Squeezing Property of the Superpositions of the q-Deformed Generalized Coherent States. Chinese Physics C, 2002, 26(9): 900-903.
[11]	JIANG Jun-Qin . Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(8): 786-790.
[12]	WANG Zhong-Qing . Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator. Chinese Physics C, 2001, 25(11): 1044-1050.
[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.
[14]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[15]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-06-17
Revised: 1900-01-01

Article Metric

Article Views(3146)
PDF Downloads(566)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article