Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

WANG Zhong-Qing; ZHOU Ping; ZHU Lian-Xuan; DAI Hong-Ying

Chinese Physics C> 2004, Vol. 28> Issue(4) : 365-369

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

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Abstract：
The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.

References

[1]

Schmdinger E . Natunvissenschaften , 1926, 14: 6642 Glauber R J. Phys. Rev. , 1963, 130: 25293 Nieto M M, Simmons L M. Phys. Rev. , 1979, Dm: 13214 Pocek M. Phys. Lett. , 1991, B255:5545 Delbecq C , Quesne C . J. Phys. , 1993, A26: L1276 Biedenharn L C . J. Phys. , 1989, A22: L8737 CHANG Zhe, CHEN Wei, GUO Han-Ying. J. Phys. , 1990, .423:41858 CHANG Zhe, CHEN Wei, YAN Hong. J. Phys., 1990, A23:42359 XU Zi-Wen . High Energy Phys . and Nucl . Phys . , 1999, 23 : 436 (in Chinese)(徐子（马文）,高能物理与核物理,1999,23:436)10 WANG Zhong-Qing. High Energy Phys. and Nucl. Phys., 2001, 25:1044(in Chinese)(汪仲清,高能物理与核物理,2001,25:1044)11 WANG Zhong-Qing. High Energy Phys. and Nucl . Phys. , 2W3, 27:105(in Chinese)(汪仲清,高能物理与核物理,2003, 27 : 105)12 PENG Shi-An, GUO Guang-Can. Acta Physica Sinica, 1990, 39: 51(in Chinese)(彭石安,郭光灿,物理学报,1990,39:51)13 ZHU Dong-Pei. J. Phys. , 1987, A20:433114 BAN M. Phys. Lett. , 1994, A193: 12115 NI Zhi-Xiang. Acta Physica Sinica, 1997, 46: 1687 (in Chinese)(倪致祥,物理学报,1997,46:1687)16 ZHANG Z M, XU L, CHAI J L et a1 . Phys. Lett. , 1990, A150:2717 Walls D F. Nature, 1983, 306: 141

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[20]	YU Zu-Rong . The Generalized q-Coherent State Representation of the Quantum Algebra SU_q(2). Chinese Physics C, 1992, 16(5): 461-467.

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WANG Zhong-Qing, ZHOU Ping, ZHU Lian-Xuan and DAI Hong-Ying. Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties[J]. Chinese Physics C, 2004, 28(4): 365-369.

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Received: 2003-07-24
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

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

Corresponding author: WANG Zhong-Qing,

College of Optical and Electronic Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China

Received Date: 2003-07-24

Accepted Date: 1900-01-01

Available Online: 2004-04-05

Abstract: The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.

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Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

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