中国物理B ›› 2001, Vol. 10 ›› Issue (5): 413-417.doi: 10.1088/1009-1963/10/5/310

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THE TWO-PHOTON DEGENERATE JAYNES－CUMMINGS MODEL WITH AND WITHOUT ROTATING-WAVE APPROXIMATION

周玲, 宋鹤山, 姚丽   

  1. Department of Physics, Dalian University of Technology, Dalian 116023, China
  • 收稿日期:2000-09-29 修回日期:2001-01-10 出版日期:2001-05-15 发布日期:2005-06-12

THE TWO-PHOTON DEGENERATE JAYNES--CUMMINGS MODEL WITH AND WITHOUT ROTATING-WAVE APPROXIMATION

Zhou Ling (周玲), Song He-shan (宋鹤山), Yao Li (姚丽)   

  1. Department of Physics, Dalian University of Technology, Dalian 116023, China
  • Received:2000-09-29 Revised:2001-01-10 Online:2001-05-15 Published:2005-06-12

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摘要： We take into account the two-photon process and generalize the Jaynes－Cummings (JC) model to the case of atomic level degenerate in the projections of the angular momenta, and we establish two-photon degenerate JC models with and without the rotating-wave approximation (RWA) quantum theory. Comparing the atom population inversion of the generalized JC model with that of the original JC model, we found that the revival period of the degenerate JC model becomes longer and the maximum amplitude of atomic inversion decreases with RWA. Without RWA, the quantum chaos of the generalized JC model is much weaker than that of the original JC model.

Abstract: We take into account the two-photon process and generalize the Jaynes－Cummings (JC) model to the case of atomic level degenerate in the projections of the angular momenta, and we establish two-photon degenerate JC models with and without the rotating-wave approximation (RWA) quantum theory. Comparing the atom population inversion of the generalized JC model with that of the original JC model, we found that the revival period of the degenerate JC model becomes longer and the maximum amplitude of atomic inversion decreases with RWA. Without RWA, the quantum chaos of the generalized JC model is much weaker than that of the original JC model.

Key words: generalized Jaynes--Cummings model, two-photon process, atom population inversion

中图分类号:  (Level crossing and optical pumping)

  • 32.80.Xx
42.50.-p (Quantum optics)