Squeezing Property of the States Generated by the Excitation on the SU<SUB>q</SUB>(1,1) Even and Odd q-Coherent States

JIANG Jun-Qin

Chinese Physics C> 2002, Vol. 26> Issue(8) : 786-790

Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

JIANG Jun-Qin ^,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

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Abstract：
The squeezing property of states generated by the excitation on the SU_q(1,1) even and odd q coherent states (a+mqα>eq and a+m qα>oq) is numerically studied. It is shown that for small q, the state a+m qα>eq and state a+mqα>oq can exhibit strong q squeezing, and as r² increases the q squeezing function Δe1(Δo1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δe1(Δo1) increases greatly. As q decreases, the period of Δe1(Δo1) increases but is independent of m.

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[1]

. Haret C. Rosu, Carlos Castro. Phys. Lett.,2000,A264:350—356 2. Raychev P P, Roussev R P, Smimov Yu F. J. Phys. 1990,G16:L137;Iwao S. Prog. Thero. Phys.,1990,83:3633. FANG Xiang-Zheng, RUAN Tu-Nan. High Energy Phys. and Nucl. Phys.,2001,25:212;2001,25:315(in Chinese)(方向正,阮图南.高能物理与核物理,2001,25:212;2001,25:315)4. Biedenharn L C. J. Phys.,1989,A22(18):L873—878 5. WANG F B, KUANG L M. Phys. Lett.,1992,A169(4):225—228 6. KUANG L M, WANG F B. Phys. Lett.,1993,A173(3):221—2277. ZHU Cong-Xu, WANG Fa-Bo, KUANG Le-Man. Acta Physica Sinica,1994,43(8):1262—1267(in Chinese)(朱从旭,王发伯,匡乐满.物理学报,1994,43(8):1262—1267) 8. LIU You-Wen, CHEN Chang-Yuan. Acta Optica Sinica,1999,19(11):1460—1463(in Chinese)(刘友文,陈昌远.光学学报,1999,19(11):1460—1463)9. WANG Xiao-Chu, LIU You-Wen. Acta Photonica Sinica,2000,29(11):985—988(in Chinese)(王晓初,刘友文.光子学报,2000,29(11):985—988)10. WANG Zhong-Qing. Acta Physica Sinica,2001,50(4):690—692(in Chinese)(汪仲清.物理学报,2001,50(4):690—692)11. Agarwal G S, Tara K. Phys. Rev.,1991,A43(1):492—497 12. ZHANG Z X, FAN H Y. Phys. Lett.,1992,A165:14—18 13. Jones G N, Haight J, Lee C T. Quantum and Semiclass Opt.,1997,9:411—418 14. ZHANG Z X, FAN H Y. Phys. Lett.,1993,A174(3):206—20915. LU Hong, GUO Guang-Can. Acta Physica Sinica (Overseas Edition),1999,8(8):577—582 16. LU Hong. Chin. Phys. Lett.,1999,16(9):646—647 17. HUANG Chun-Qing, LU Hong. Acta Photonica Sinica,2000,29(6):481—486(in Chinese)(黄纯青,路洪.光子学报,2000,29(6):481—486)18. JIANG Jun-Qin, HUANG Chun-Qing, LU Hong. Acta Photonica Sinica,2000,29(11):989—992(in Chinese)(江俊勤,黄纯青,路洪.光子学报,2000,29(11):989—992) 19. JIANG Jun-Qin. High Energy Phys. and Nucl. Phys.2002,26(4):331—337(in Chinese)(江俊勤.高能物理与核物理,2002,26(4):331—337)20. Dodonov V V, Korennoy Y A, Man'ko V I et al. Quantum and Semiclass Opt.,8(1996):413—427

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[9]	WANG Zhong-Qing . Higher Power Squeezing Properties for Odd and Even Two-Parameter Deformed Coherent States. Chinese Physics C, 2001, 25(12): 1158-1164.
[10]	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.
[11]	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.
[12]	Yu Zhaoxian , Liu Yehou . Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group. Chinese Physics C, 1999, 23(6): 529-535.
[13]	Yu Zhaoxian , Yu Ge , Zhang Dexing , Liu Yehou . Nodvik and Holstein-Primakoff Realizations for Two-ParameterDeformed Quantum Algebra SU(1,1)_(q,s). Chinese Physics C, 1996, 20(12): 1082-1086.
[14]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[15]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[16]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.
[17]	PAN Feng . Vector Coherent State Representations of SO₅ SU₂ SU₂ U₁ U₁ and SO₅ U₁ U₁. Chinese Physics C, 1991, 15(2): 178-186.
[18]	PAN Feng . Vector Coherent State Representations of SU₃ in U₁ U₁ Basis. Chinese Physics C, 1991, 15(1): 80-86.
[19]	LIU Rong-Guang , WU Jian-Wu , XIE Pei-Pei , DONG Xue-Sheng . THE PERFORMANCE TEST OF 1m×1m DRIFT CHAMBERS WITH ON-LINE MICROCOMPUTER. Chinese Physics C, 1985, 9(3): 257-262.
[20]	LI GUANG-LIE , SHEN JIAN-PING , ZHANG ZONG-YE . SOME PROPERTIES OF THE HYPERNUCLEAR EXCITED STATES IN 1P SHELL. Chinese Physics C, 1978, 2(2): 168-173.

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JIANG Jun-Qin. Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(8): 786-790.

JIANG Jun-Qin. Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States[J]. Chinese Physics C, 2002, 26(8): 786-790. shu

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Received: 2001-12-11
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 States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

Corresponding author: JIANG Jun-Qin,

Department of Physics, Guangdong Institute of Education, Guangzhou 510303, ChinaCCAST World Laboratory, Beijing 100080, China

Received Date: 2001-12-11

Accepted Date: 1900-01-01

Available Online: 2002-08-05

Abstract: The squeezing property of states generated by the excitation on the SU_q(1,1) even and odd q coherent states (a+mqα>eq and a+m qα>oq) is numerically studied. It is shown that for small q, the state a+m qα>eq and state a+mqα>oq can exhibit strong q squeezing, and as r² increases the q squeezing function Δe1(Δo1) exhibits a wonderful oscillating phenomenon of increasing amplitude and increasing period. As m increases and q decreases, the amplitude of Δe1(Δo1) increases greatly. As q decreases, the period of Δe1(Δo1) increases but is independent of m.

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Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

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Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

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Squeezing Property of the States Generated by the Excitation on the SUq(1,1) Even and Odd q-Coherent States

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通讯作者: 陈斌, [email protected]

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Squeezing Property of the States Generated by the Excitation on the SUq(1,1) Even and Odd q-Coherent States

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Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States

Squeezing Property of the States Generated by the Excitation on the SU_q(1,1) Even and Odd q-Coherent States