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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


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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

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