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Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of the generatorsof a closed algebra, which has SU(1,1) and Heisenberg–Weyl algebras as limitingcases. Eigenstates and eigenvalues of the Hamiltonian are constructed...
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