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Journal of Russian Laser Research

Entropic uncertainty for two atoms interacting with a cavity field under the influence of two photons (off-resonance case)

Eied Mahmoud Khalil, M. Sebawe Abdalla

Published Mar 1, 2012• 11 citations
Publisher
DOI
10.1007/s10946-012-9267-x

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International Journal of Theoretical Physics•Apr 24, 2008•7 citations
In this paper, the interaction between a Λ-type three-level atom and a two-mode cavity field is discussed. The detuning parameters and cross-Kerr nonlinearity are taken into account, and it is assumed that the atom–field coupling and Kerr medium are f-deformed. Even though the system seems complicated, the analytical form of the state vector of the entire system for the considered model is exactly obtained. The time evolution of nonclassical properties, such as quantum entanglement and position–momentum entropic uncertainty relation (entropy squeezing) of the field are investigated. In each case, the influences of the detuning parameters, generalized Kerr medium, and intensity-dependent coupling on the latter nonclassicality signs are analyzed in detail.
In this paper, we study the interaction between a ΛΛΛ-type three-level atom and two quantized electromagnetic fields which are simultaneously injected in a bichromatic cavity surrounded by a Kerr medium in the presence of the field-field interaction (parametric down conversion) and detuning parameters. By applying a canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom is studied through the evolution of the atomic population inversion. In addition, two different measures of entanglement between the tripartite system (three entities make the system: two field modes and one atom) i.e., von Neumann and linear entropy are investigated. Also, two kinds of entropic uncertainty relations, from which entropy squeezing can be obtained, are discussed. In each case, the influences of the detuning parameters and Kerr medium on the above nonclassicality features are analyzed via numerical results, in detail. It is illustrated that the amount of the above-mentioned physical phenomena can be tuned by choosing the evolved parameters, appropriately.
Abstract In a system of two two‐level atoms with a cavity field, the dynamics of entropic uncertainty relations, nonlocality, entanglement, and the degree of mixedness are investigated. In addition to the dynamical map, the interaction between two two‐level systems and the Fock state cavity field, the effects of various parameters, such as temperature dependence, Ising interaction, and dipole–dipole interaction are discussed. It is shown that Ising and dipole–dipole interactions promote entanglement and nonlocal correlations while lowering mixedness and entropy. In order to maintain optimal entanglement and nonlocal correlations, numerical values for improving the current cavity fields are also proposed. The cavity field exhibits both Markovian and non‐Markovian behavior, depending on the type of interaction.