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arXiv:2209.13707

Entanglement Between Stochastic Atomic Motion and Three-Level Atom

Ahmed Salah, M. A. El-Sayed, N. H. Abdel-Wahab

Published Sep 27, 2022• 0 citations
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Abstract

In this paper, we are interested in studying entropy and dynamics entanglement between a single time dependent three-level atom interacting with one-mode cavity field when the atomic motion is taken into account. An exact analytical solution for the wave function is given by using Schrödinger equation for a specific initial condition. The field entropy of this system is investigated in the non-resonant case. The influences of the detuning parameters and atomic motion on the entanglement degree are examined. We show that both of the detuning parameters and atomic motion play important roles in the evolution of von Neumann entropy and atomic populations. Finally, conclusion and some features are given.

DOI
10.48550/arxiv.2209.13707

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An important kind of interaction between two moving two-level atoms and a field mode, where the coupling parameter is taken to be time-dependent, is presented in this paper. Nonlocal correlations between the atoms and the field have been investigated by means of concurrence and von Neumann entropy in terms of the involved parameters of the system. The results show that the atomic motion plays an essential role in the evolution of system dynamics, its nonlocal correlations and geometric phase. Moreover, an interesting correlation between the entanglement and the geometric phase during the evolution was observed. The presented system can be very useful for generating and maintaining high amount of entanglement by means of controlling the parameters of atomic motion.
In this paper, a model describing the interaction between a moving three-level atom and a two-mode cavity field with nondegenerate two-photon transitions is considered in the presence of intensity-dependent coupling and detuning parameters. In order to evaluate entanglement between subsystems, the exact time dependence of the state vector of the overall system is obtained. After studying the dynamics of the atom by considering atomic population inversion, entanglement of formation as a suitable measure of entanglement degree is discussed in detail. It is deduced from the numerical results that the domain and the maximum amount of the degree of entanglement can be suitably controlled by appropriately choosing the intensity-dependent nonlinearity function, the field-mode structure parameters, and detuning.
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