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International Journal of Theoretical Physics

Influence of the External Classical Field on the Entanglement of a Two-Level Atom

Eied Mahmoud Khalil

Published Nov 23, 2012• 23 citations
Publisher
DOI
10.1007/s10773-012-1427-9

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arXiv:1603.08800•Scientific Reports•Dec 5, 2016•52 citations
This paper examines the squeezing on information entropy and entanglement on the basis of a quantum scheme contains two-mode interaction with time dependence of a two-level atom included external field. The proposed model is formulated by eliminating the external field after applying a certain transformation. The dynamics of information entropy squeezing and nonlocal correlation information for the system Hamiltonian are investigated. The influence of the classical field on the evolution of the squeezing and entanglement are estimated. Through the results will obtain the dynamic behavior of squeezing and entanglement is controlled using the external field.
In this study, we consider three interacting atoms, one of them represented by N-level atom based on SU(2) Lie algebra and the other represented by a two two-level atom in presence of the external field. The effect of the external field on the dynamics of the proposed system is discussed in detail for certain values for the external field. The dynamical expression of the observable operators is obtained by using the Heisenberg equation of motion. The general solution via solving Schrodinger equation is obtained. The fidelity and concurrence formula as a measure of entanglement between two two-level atom are calculated and discussed in detail. We explore the sudden death and sudden birth phenomena with and without the presence of external field. Finally, we compare the results of the fidelity, concurrence and second-order correlation function for some values of the initial state and the external field parameters.
The parity-deformations of the quantum harmonic oscillator are used to describe the generalized Jaynes-Cummings model based on the λ-analog of the Heisenberg algebra. The behavior is interestingly that of a coupled system comprising a two-level atom and a cavity field assisted by a continuous external classical field. The dynamical characters of the system is explored under the influence of the external field. In particular, we analytically study the generation of robust and maximally entangled states formed by a two-level atom trapped in a lossy cavity interacting with an external centrifugal field. We investigate the influence of deformation and detuning parameters on the degree of the quantum entanglement and the atomic population inversion. Under the condition of a linear interaction controlled by an external field, the maximally entangled states may emerge periodically along with time evolution. In the dissipation regime, the entanglement of the parity deformed JCM are preserved more with the increase of the deformation parameter, i.e. the stronger external field induces better degree of entanglement.