Antibunching Effect of k-Boson q-Coherent States

  • The antibunching effect for the eigenstates of the q-deformed annihilation operator aqk(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 aqk 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.
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  • [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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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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Antibunching Effect of k-Boson q-Coherent States

    Corresponding author: WANG Zhong-Qing,
  • Department of Applied Physics, University of Petroleum, Dongying Shandong 257061, China

Abstract: The antibunching effect for the eigenstates of the q-deformed annihilation operator aqk(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 aqk 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.

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