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In this paper the interaction between a two-level atom and a single-modefield in the $k$-photon Jaynes-Cummings model (JCM) in the presence of Starkshift and Kerr medium is studied. All terms in the respected Hamiltonian, suchas the single-mode field, its interaction with the atom, the contribution ofthe Stark shift and the Kerr medium effects are considered to be $f$-deformed.In particular, the effect of the initial state of radiation field on thedynamical evolution of some physical properties such as atomic inversion andentropy squeezing are investigated by considering different initial fieldstates. To achieve this purpose, coherent, squeezed and thermal states asinitial field states are considered.

chinese physics b/chinese physics b

Entropy squeezing and atomic inversion in the $k$-photon Jaynes-Cummings  model in the presence of Stark shift and Kerr medium: full nonlinear approach