Squeezed
state of light is distinguished by long-axis variance of noise ellipse for one of its quadratures in phase space. This property has been used in many optical devices as well as in the
quantum information, e.g. a power recycled interferometer, a phase-modulated signal recycled interferometer, quantum teleportation, cryptography, and dense coding in various papers. In this paper we make a comparative study to the
entropy squeezing and
atomic variances for two two-level
atoms interacting with the lth-photon single-mode electromagnetic field (TJCM) when the field and atoms are in the coherent state and excited atomic states, respectively. The attention will be restricted to the single atom entropy squeezing since there are difficulties to treat the compound case, as argued in section 2. Here, author treat two cases, namely, symmetric (two identical atoms) and asymmetric (two non-identical atoms) cases. The atomic inversion of the TJCM has taken much interest since it exhibits different shapes of the revival-collapse phenomenon (RCP). Recently, the importance of the TJCM is increased as a result of the progress in the quantum information. In this regard, the entanglement for the TJCM with the initial coherent state, binomial state and superposition displaced Fock state has been investigated. Throughout the investigation of this paper, author obtain many of interesting results. For instance, the entropy squeezing cannot exhibit nonclassical effects for l > 2. The nonclassical effects
obtained for the asymmetric case are greater than those obtained for the symmetric one. Moreover, in terms of the entropy squeezing the amounts of the nonclassical effects obtained for the JCM are greater than those obtained for the symmetric case of the TJCM even though the behaviors of their atomic inversions are typical. The paper is prepared in the following order. In section 2 author give the basic equations and relations for the system under consideration. In section 3 author investigate the entropy squeezing, the atomic variance and the atomic inversions. The main conclusions are summarized in section 4.
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