Quantum correlations beyond entanglement between two moving atoms interacting with a coherent cavity

Studying the ability of atom-photon interactions, especially in two two-level atomic sys-tems, to generate quantum information resources has recently become an important research topic in quantum information science. Therefore, this paper explores the ability of two moving atoms coupling with a coherent field through a two-photon transition to generate atomic quantum corre-lations by using local quantum uncertainty (LQU), local quantum Fisher information (LQFI) as well as logarithmic negativity (LN). Schr6dinger equation is used to obtain the time evolution of the atom-cavity-atom interactions with an initial coherent cavity state and an initial atomic uncor-related pure state. The generation of atomic LQU, LQFI, and LN correlations are exactly examined under the unitary interaction parameter effects, including the atom-cavity coupling strengths, the cavity field half-wave number, and the initial coherent state intensity. The atom-cavity-atom inter-action parameters lead to notable changes in the amplitudes, speed, and regularity of the LQU, LQFI, and LN dynamics, which can be enhanced by increasing the initial coherent intensity. The cavity field half-wave number leads to generating atomic quantum correlations with regular oscil-latory behavior. The sudden death-birth phenomenon of the logarithmic negativity depends on the atom-cavity-atom interaction and the atomic location parameter.(c) 2023 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

This paper investigates the ability of atom-photon interactions in two two-level atomic systems to generate quantum information resources. By studying local quantum uncertainty (LQU), local quantum Fisher information (LQFI), and logarithmic negativity (LN), the authors explore the generation of atomic quantum correlations through the coupling of two moving atoms with a coherent field via a two-photon transition. The results show that the interaction parameters significantly affect the dynamics of LQU, LQFI, and LN, and the initial coherent state intensity enhances this effect. The cavity field half-wave number leads to the generation of atomic quantum correlations with regular oscillatory behavior, and the phenomenon of sudden death-birth of logarithmic negativity depends on the atom-cavity-atom interaction and the atomic location parameter.