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We considered the anti-Jaynes-Cummings (AJC) interaction of a two-level atomin an initial ground state interacting with a field mode in an initial squeezedcoherent state at arbitrary values of squeeze parameter r and provided theJaynes-Cummings (JC) interaction as a comparison. We analysed the degree ofentanglement (DEM) measured by the von Neumann entropy and the nature of thefield quantified by the Mandel Q parameter in relation to the atomic populationinversion during the AJC interaction and separately the corresponding JCinteraction. We noted in our examples that at r>1.4, photon statistics evolvedto super-Poissonian from sub-Poissonian during the respective AJC, JCinteractions. Further, for high values of r, the form of the time evolution ofatomic population inversion depicted enhanced ringing revivals at the collapseregion in comparison to the case of an initial coherent state. What is more, athigher values of r the time evolution of DEM showed more rapid oscillations andrecorded higher values, concurrently, an increase in the degree of mixedness.

Anti-Jaynes-Cummings interaction of a two-level atom with squeezed light: A comparison with the Jaynes-Cummings interaction