Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator

WANG Ji-Suo; FENG Jian; LIU Tang-Kun; ZHAN Ming-Sheng

Chinese Physics C> 2002, Vol. 26> Issue(6) : 569-575

Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China2 Department of Physics, Liaocheng Teachers University, Shandong 252059, China3 Department of Physics, Hubei Normal University, Huangshi 435002, China

Abstract
HTML
Reference
Related

PDF

Abstract：
We introduce a quantum antibunching effect. The quantum antibunching effect of the K eigenstates of the K th powere (K≥3) of the annihilation operator in the Q-deformed non-harmonic oscillator is investigated. The physical meaning of the K states are explored. The results show that there is the quantum antibunching effect in all of those states. All of them can be generated by a linear superposition of generalized coherent states produced by the time-dependent Q-deformation non-harmonic oscillator at different instants.

References

[1]

. Teich M C , Saleh B E A , Stoler D. Opt. Commun.,1983,46:2442. GUO Guang-Can,WANG Shan-Xiang, FAN Hong-Yi. Chin. J. Quant. Electron.,1987,4:1(in Chinese)(郭光灿,王善祥,范洪义.量子电子学,1987,4:1)3. 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)4. Chaichian M, Ellnias D et al. Phys. Rev. Lett.,1990,65:980 5. Bonatsos D, Daskaloyannis C. Phys. Lett.,1992,B278:1 6. WANG Ji-Suo, LIU Tang-Kun, ZHAN Ming-Sheng. High Energy Phys. and Nucl. Phys.,2000,24:1115(in Chinese)(王继锁,刘堂昆,詹明生.高能物理与核物理,2000,24:1115) 7. XU Zi-Wen. Acta Physica Sinica, 1996, 45:1807(in Chinese)(徐子馼.物理学报,1996,45:1807) 8. YU Zhao-Xian, WANG Ji-Suo et al. Acta Physica Sinica, 1997, 46:1693(in Chinese)(于肇贤,王继锁等.物理学报,1997,46:1693)9. XU Zi-Wen. High Energy Phys. and Nucl. Phys.,1999,23:436(in Chinese)(徐子馼.高能物理与核物理,1999,23:436)10. Walls D F. Nature, 1983,306:14111. GUO Guang-Can. Quantum Optics. Beijing:Higher Education Press, 1990,130(in Chinese)(郭光灿.量子光学.北京:高等教育出版社,1990,130)

[1]	A.G.Drentje . Gas-mixing: Ion Cooling or Reduced Turbulent Heating?. Chinese Physics C, 2007, 31(S1): 162-164.
[2]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[3]	SHEN Shui-Fa , YU Xiao-Han . Decay of ⁸³Sr and Discussion of Its Daughter's Band Structures. Chinese Physics C, 2004, 28(S1): 78-80.
[4]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[5]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[6]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[7]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[8]	SANG Jian-Ping , LIU Chao-Shan , LIU Yong . Relation Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region N=88～90. Chinese Physics C, 1991, 15(2): 150-157.
[9]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[10]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.
[11]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[12]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[13]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

Access

Get Citation

WANG Ji-Suo, FENG Jian, LIU Tang-Kun and ZHAN Ming-Sheng. Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator[J]. Chinese Physics C, 2002, 26(6): 569-575.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-08-13
Revised: 1900-01-01

Article Metric

Article Views(3570)
PDF Downloads(572)
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

Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator

Corresponding author: WANG Ji-Suo,

State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China2 Department of Physics, Liaocheng Teachers University, Shandong 252059, China3 Department of Physics, Hubei Normal University, Huangshi 435002, China

Received Date: 2001-08-13
Accepted Date: 1900-01-01
Available Online: 2002-06-05

Abstract: We introduce a quantum antibunching effect. The quantum antibunching effect of the K eigenstates of the K th powere (K≥3) of the annihilation operator in the Q-deformed non-harmonic oscillator is investigated. The physical meaning of the K states are explored. The results show that there is the quantum antibunching effect in all of those states. All of them can be generated by a linear superposition of generalized coherent states produced by the time-dependent Q-deformation non-harmonic oscillator at different instants.