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

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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)

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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.

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Received: 2001-08-13
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

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.

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

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