Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing

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2024年10月30日

Chinese Physics C> 2002, Vol. 26> Issue(6) : 576-581

Antibunching Effect of k-Boson q-Coherent States

WANG Zhong-Qing ^,

Department of Applied Physics, University of Petroleum, Dongying Shandong 257061, China

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Abstract：
The antibunching effect for the eigenstates of the q-deformed annihilation operator a_q^k(k≥3) is investigated. Using the numerical method, we have studied the influences of the q-parameter deformation on the effect in the case of k=3. The results show that the eigenstates of a_q^k exhibit antibunching effect when x=|z|², i.e. the intensity of the oscillator in q-deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q. When the intensity of the q-deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.

References

[1]

. Biedenharn L C. J. Phys.,1989, A22:L8732. Macfarlance A J. J. Phys.,1989, A22:4581 3. SUN Chang-Pu, FU Hong-Chen. J. Phys.,1989,A22:L9834. SONG Xing-Chang. J. Phys.,1990, A23:L821 5. Gray R W, Nelson C A. J. Phys.,1990,A23:L9456. Chaichian M, Ellinas D, Kulish P. Phys. Rev. Lett.,1990,65:980 7. Brachen A J et al. J. Phys.,1990,A24:1379 8. WANG Zhong-Qing. Acta Physica Sinica, 2001, 50:690(in Chinese)(汪仲清.物理学报,2001,50:690) 9. KUANG Le-Man, WANG Fa-Bo. Phys. Lett.,1993, A173:221;1992, A169:225 10. WANG Fa-Bo, KUANG Le-Man. J. Phys.,1993,A26:293 11. Jurco B. Lett. Math. Phys.,1991,21:51 12. KUANG Le-Man, WANG Fa-Bo et al. Phys. Lett.,1993,A176:1 13. WANG Ji-Suo, WANG Chuan-Kui, He Jin-Yu. Phys. Lett.,1995,A199:13714. Walls D F. Nature, 1983,306:141 15. FANG Xiang-Zheng, RUAN Tu-Nan. High Energy Phys. and Nucl. Phys.,2000,24:269(in Chinese)(方向正,阮图南.高能物理与核物理,2000,24:269) 16. SUN Jin-Zuo, WANG Ji-Suo, WANG Chuan-Kui. Phys. Rev.,1991,A44:3369

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[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. Antibunching Effect of k-Boson q-Coherent States[J]. Chinese Physics C, 2002, 26(6): 576-581.

WANG Zhong-Qing. Antibunching Effect of k-Boson q-Coherent States[J]. Chinese Physics C, 2002, 26(6): 576-581. shu

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Received: 2001-09-04
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 k-Boson q-Coherent States

WANG Zhong-Qing ^,

Corresponding author: WANG Zhong-Qing,

Department of Applied Physics, University of Petroleum, Dongying Shandong 257061, China

Received Date: 2001-09-04
Accepted Date: 1900-01-01
Available Online: 2002-06-05

Abstract: The antibunching effect for the eigenstates of the q-deformed annihilation operator a_q^k(k≥3) is investigated. Using the numerical method, we have studied the influences of the q-parameter deformation on the effect in the case of k=3. The results show that the eigenstates of a_q^k exhibit antibunching effect when x=|z|², i.e. the intensity of the oscillator in q-deformed coherent state, is in values of certain intervals, and the effect is evidently influenced by the values of parameter q. When the intensity of the q-deformed light field is changed stronger gradually, the fluctuation of the photon number in the light field is changed between the classical (or quantum) and the quantum (or classical) properties alternatively.