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Alexandria Engineering Journal

Visualization of the interaction dynamics between a two-level atom and a graphene sheet covered by a laser field

Adel Bandar Alruqi, Eied Mahmoud Khalil, S. Abdel‐Khalek, Mahmoud Youssef Abd‐Rabbou

Published Jul 6, 2023• 5 citations
Publisher

Abstract

This study investigates the detection of two discrete quantum phenomena arising from the interaction between a single two-level atom, SU(1,1)quantum systems, and a graphene membrane in the presence of a laser field. We employ quantum skew information and second-order Rényi entropy as measures to discern non-classicality and entropy, respectively. Two distinct scenarios are considered addressing the system: first, when atomic frequency significantly surpasses laser coupling; second, when the atomic frequency is considerably lower than classical laser coupling. In the former case, both phenomena hinge upon initial preparation conditions for the SU(1,1)coherent cavity, whereas, in the second scenario, the non-classicality and entropy are influenced by the coherent graphene. Notably, we find that the detuning parameter enhances the information of the composite system when the intensities of the coherent cavity and graphene membrane are substantial.

DOI
10.1016/j.aej.2023.06.075

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Abstract The effect of nonlinearity, initial atomic state, and different resonance cases on the interaction between nonlinear SU (1, 1) quantum states and a two-level atom is discussed. The optimal behaviours of decoherence, entanglement and quantum coherence are predicted via using the skew information, tomographic entropy, and the relative entropy of coherence, respectively. It is shown that the detuning parameter has a destructive effect on the coherence and consequently on the entanglement if the quantum system is regulated in the ideal SU (1, 1) quantum systems. For the nonlinear SU (1, 1) quantum systems, the ability to suppress the decay of entanglement induced by the detuning may be increased by preparing the initial atomic state in its excited state.
Abstract The effect of nonlinearity, initial atomic state, and different resonance cases on the interaction between nonlinear SU (1, 1) quantum states and a two-level atom is discussed. The optimal behaviours of decoherence, entanglement and quantum coherence are predicted via using the skew information, tomographic entropy, and the relative entropy of coherence, respectively. It is shown that the detuning parameter has a destructive effect on the coherence and consequently on the entanglement if the quantum system is regulated in the ideal SU (1, 1) quantum systems. For the nonlinear SU (1, 1) quantum systems, the ability to suppress the decay of entanglement induced by the detuning may be increased by preparing the initial atomic state in its excited state.
In this work, we introduce a model of a two-atom interacting with a multi-level atom governed by su(2) Lie algebra in the presence of external classical field. The influence of the classical field on the system is discussed in detail for certain values for the classical terms. The atomic density matrix of the proposed system is obtained. The dynamical behavior of the atomic Fisher information as an indicator of the nonlocal correlation between a two-atom and su(2) field is discussed. Moreover, we examine the effect of classical field on the evolution of entropy squeezing and the geometric phase induced between the initial and final state of the proposed system. The results outlined some important phenomena as sudden death and sudden birth of entanglement in presence of the classical terms is observed through the dynamics of atomic Fisher information in the presence of classical field for the large number of levels.
We investigate the evolution of the atomic quantum entropy and the atom–field entanglement in a system of a Λ-configuration three-level atom interacting with a two-mode field with additional forms of nonlinearities of both the field and the intensity-dependent atom–field coupling. With the derivation of the unitary operator within the frame of the dressed state and the exact results for the state of the system we perform a careful investigation of the temporal evolution of the entropy. A factorization of the initial density operator is assumed, considering the field to be initially in a non-correlated two-mode squeezed coherent or binomial state. The effects of the mean photon number, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are analysed.