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Optics Letters

Optics Letters


  • Vol. 29, Iss. 8 — Apr. 15, 2004
  • pp: 839–841

Eigenstates and eigenenergies of four-wave-mixing models

Ying Wu and Xiaoxue Yang  »View Author Affiliations

Optics Letters, Vol. 29, Issue 8, pp. 839-841 (2004)

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We present explicit analytical expressions of all the eigenenergies and eigenstates for two different kinds of four-wave-mixing model in terms of a parameter λ without the so-called Bethe ansatz assumption. The parameter λ is shown to be determined by the roots of a simple polynomial. We also obtain the exact explicit analytical expressions of infinite eigenstates and energies without any unknown parameter.

© 2004 Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(270.4180) Quantum optics : Multiphoton processes

Ying Wu and Xiaoxue Yang, "Eigenstates and eigenenergies of four-wave-mixing models," Opt. Lett. 29, 839-841 (2004)

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  1. V. A. Andreev and Q. A. Ivanova, J. Phys. A 35, 8587 (2001).
  2. H. Q. Zhou, J. Links, R. H. McKenzie, and X. W. Guan, J. Phys. A 36, L113 (2003).
  3. M. Nielsen and I. Chuang, Quantum Computation and Quantum Communication (Cambridge U. Press, Cambridge, 2000).
  4. Y. Wu and X. Yang, Opt. Lett. 28, 1793 (2003).
  5. Y. Wu and X.-X. Yang, J. Opt. B 5, 414 (2003).
  6. Y. Wu and X. Yang, Phys. Rev. A 68, 013608 (2003).
  7. Y. Wu, X. Yang, and Y. Xiao, Phys. Rev. Lett. 86, 2200 (2001).
  8. Y. Wu, X. Yang, C. P. Sun, X. J. Zhou, and Y. Q. Wang, Phys. Rev. A 61, 043604 (2000).
  9. P. Villain, P. Ohberg, L. Santos, A. Sanpera, and M. Lewenstein, Phys. Rev. A 64, 023606 (2001).
  10. J. Heurich, H. Pu, M. G. Moore, and P. Meystre, Phys. Rev. A 63, 033605 (2001).
  11. L. Deng, M. Kozuma, E. W. Hagley, and M. G. Payne, Phys. Rev. Lett. 88, 143902 (2002).
  12. Y. Wu, J. Saldana, and Y. Zhu, Phys. Rev. A 67, 013811 (2003).
  13. Y. Wu, L. Wen, and Y. Zhu, Opt. Lett. 28, 631 (2003).

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