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Communications in Theoretical Physics

Analytical Results of Eigenstates and Eigenenergies for Three Kinds of Models Describing N -mode Multiphoton Process

Wen‐Xing Yang, Jiahua Li, Weibin Li, Ai-Xi Chen, Jin Li-Xia

Published Jan 1, 2005• 0 citations
Publisher

Abstract

We obtain the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N -mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for three kinds of models describing N -mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.

DOI
10.1088/0253-6102/43/1/005

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We obtain the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N -mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for three kinds of models describing N -mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.
We obtain the exact analytical results of all the eigenvalues and eigenstates for three kinds of models describing N-mode multiphoton process without using the assumption of the Bethe ansatz. The exact analytical results of all the eigenstates and eigenvalues are in terms of a parameter λ for three kinds of models describing N-mode multiphoton process. The parameter is shown to be determined by the roots of a polynomial and is solvable analytically or numerically. Moreover, these three kinds of models can be processed with the same procedure.