Pair q-Coherent States and Their Antibunching Effects

WANG Zhong-Qing; LI Jun-Hong; AN Guang-Lei

Chinese Physics C> 2005, Vol. 29> Issue(6) : 623-626

Pair q-Coherent States and Their Antibunching Effects

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China2 Institute of Applied Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China3 Key Laboratory of Micro-electronic Engineering of Chongqing,Chongqing 400065,China

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Abstract：
Using the properties of the q-deformed boson creation and annihilation operators and their inversed operators, two kind of q-deformed pair coherent states are introduced. Antibunching effects and correlation properties between two modes in the states are investigated. It is shown that q-deformed pair coherent states exhibit antibunching effects and the photons of the two modes are correlated. These nonclassical effects are influenced by the parameter q. These effects increase when |lnq| increases.

References

[1]

.Baxter R J.Exactly Solved Models in St atist ical Mechanics.London:Academic Press,19822.Faddeev L D.Sov.Sci.Rev.Maths.,1981,C1:1073.Belavin A A,Polyakov A M,Zamolodchikov A B.Nucl.Phys.,1984,B241:3334.FANG Xiang-Zheng,RUAN Tu-Nan.High Energy Phys.and Nucl.Phys.,2000,24(3):269(in Chinese)(方向正,阮图南.高能物理与核物理,2000,24(3):269)5.Biedenharn L C.J.Phys.,1989,A22:L8736.ChaichiurM,Ellinas D,Kullish P.Phys.Rev.Lett.,1990,65( 8):9807.WANG Zhong-Qing.Act a Physica Sinica,2001,50( 4):690 ( in Chinese)(汪仲清.物理学报,2001,50(4):690)8.WANG Zhong-Qing.High Energy Phys.and Nucl.Phys.,2001,25( 10):964(in Chinese)(汪仲清.高能物理与核物理,2001,25(10):964)9.JIANG Jun-Qin.High Energy Phys.and Nucl.Phys.,2003,27( 1):15 (in Chinese)(江俊勤.高能物理与核物理,2003,27(1):15)10.WANG Zhong-Qing,ZHOU Ping et al.High Energy Phys.and Nucl.Phys.,2004,28( 4):365(in Chinese)(汪仲清,周平等.高能物理与核物理,2004,28(4):365)11.Agarwal G S.Phys.Rev.Lett.,1986,57(7):82712.Agarwal G S.J.Opt.Soc.Am.,1988,B5( 9):194013.SONG Tong-Qiang,ZHU Yue-Jin.Acta Opt ica Sinica,2003,23( 8):906(in Chinese)(宋同强,诸跃进.光学学报,2003,23(8):906)14.FAN Hong-Yi.Phys.Lett.1994,A191:34715.WEI Lian-Fu,WANG Shun-Jin et al.High Energy Phys.and Nucl.Phys.,1997,21( 11):1031(in Chinese)(韦联福,王顺金等高能物理与核物理,1997,21(11):1031)16.Walls D F.Nature.,1983,306:14117.PENG Jin-Sheng,LI Gao-Xiang.Introduction to Modern Quantum Op-tics,Beijing:Science Press,1996.143 - 164(in Chinese)(彭金生,李高翔近代量子光学导论,北京:科学出版社,1996.143-164)

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[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 , 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.
[4]	JIANG Jun-Qin . Antibunching Effect of the Excited k-Boson q-Coherent States. Chinese Physics C, 2004, 28(1): 22-25.
[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.
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[7]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[8]	LU Dao-Ming . Antibunching Effect of Superposition of the q-Deformed Generalized States. Chinese Physics C, 2003, 27(7): 571-573.
[9]	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.
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[11]	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.
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[13]	WANG Zhong-Qing . Antibunching Effect of k-Boson q-Coherent States. Chinese Physics C, 2002, 26(6): 576-581.
[14]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[15]	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.
[16]	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.
[17]	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.
[18]	Xu Ziwen . Q-Deformation of Generalized Coherent States in the Non-harmonic Oscillator Potential. Chinese Physics C, 1999, 23(5): 436-444.
[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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WANG Zhong-Qing, LI Jun-Hong and AN Guang-Lei. Pair q-Coherent States and Their Antibunching Effects[J]. Chinese Physics C, 2005, 29(6): 623-626.

WANG Zhong-Qing, LI Jun-Hong and AN Guang-Lei. Pair q-Coherent States and Their Antibunching Effects[J]. Chinese Physics C, 2005, 29(6): 623-626. shu

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Received: 2004-10-10
Revised: 1900-01-01

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Pair q-Coherent States and Their Antibunching Effects

Corresponding author: WANG Zhong-Qing,

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China2 Institute of Applied Physics,Chongqing University of Posts and Telecommunications,Chongqing 400065,China3 Key Laboratory of Micro-electronic Engineering of Chongqing,Chongqing 400065,China

Received Date: 2004-10-10

Accepted Date: 1900-01-01

Available Online: 2005-06-05

Abstract: Using the properties of the q-deformed boson creation and annihilation operators and their inversed operators, two kind of q-deformed pair coherent states are introduced. Antibunching effects and correlation properties between two modes in the states are investigated. It is shown that q-deformed pair coherent states exhibit antibunching effects and the photons of the two modes are correlated. These nonclassical effects are influenced by the parameter q. These effects increase when |lnq| increases.

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Pair q-Coherent States and Their Antibunching Effects

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通讯作者: 陈斌, bchen63@163.com

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