OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • 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)
http://dx.doi.org/10.1364/OL.29.000839


View Full Text Article

Acrobat PDF (83 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

Citation
Ying Wu and Xiaoxue Yang, "Eigenstates and eigenenergies of four-wave-mixing models," Opt. Lett. 29, 839-841 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-8-839


Sort:  Author  |  Year  |  Journal  |  Reset

References

  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).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited