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 res...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 lambda 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.展开更多
We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is det...We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.展开更多
We present an efficient approach to studying the spectra and eigenstates for the model describing interactionsamong five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of ...We present an efficient approach to studying the spectra and eigenstates for the model describing interactionsamong five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of all theeigenstates and eigenvalues are in terms of a parameter λ for a class of models describing five-mode multiphoton process.The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.展开更多
文摘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 lambda 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.
文摘We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.
文摘We present an efficient approach to studying the spectra and eigenstates for the model describing interactionsamong five bosonic modes without using the assumption of the Bethe ansatz. The exact analytical results of all theeigenstates and eigenvalues are in terms of a parameter λ for a class of models describing five-mode multiphoton process.The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.