Abstract
We explicitly find eigenvectors and eigenvalues of the general n-level, n − 1-mode Jaynes–Cummings model in Λ-configuration possessing arbitrary detuning parameters Δi, and arbitrary interaction strengths gi, . In the case of equal interaction strengths gi = gj, , we compare the obtained answers with those obtained by the algebraic Bethe ansatz method (Skrypnyk 2008 J. Phys. A: Math. Theor. 41 475202; 2009 J. Math. Phys. 50 103523).
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