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    Two Rydberg atomic pairs show synchronized in-phase or anti-phase entanglement dynamics. Optimal entanglement is achieved at beating nodes, with dissipation only slowly decaying these quantum states.

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    Area of Science:

    • Quantum optics
    • Atomic physics
    • Many-body physics

    Background:

    • Rydberg atoms are highly excited atoms with strong interactions.
    • Van der Waals (vdW) potentials govern interactions between Rydberg atoms.
    • Laser fields drive coherent evolution of atomic states.

    Purpose of the Study:

    • Investigate correlated dynamics of two distant Rydberg atomic pairs.
    • Explore entanglement generation and control in driven Rydberg systems.
    • Analyze the impact of vdW interactions and laser detunings on entanglement.

    Main Methods:

    • Theoretical modeling of two interacting Rydberg atomic pairs.
    • Analysis of quantum dynamics under laser driving.
    • Calculation of intra-pair and inter-pair entanglement measures.

    Main Results:

    • Observed in-phase and anti-phase beating dynamics in entanglement.
    • Identified conditions for symmetric entangled state oscillations.
    • Achieved optimal inter-pair entanglement at beating nodes.
    • Demonstrated robustness of entanglement dynamics against dissipation.

    Conclusions:

    • Correlated Rydberg pairs exhibit controllable entanglement dynamics.
    • Specific conditions enable robust in-phase/anti-phase entanglement.
    • Potential for generating and preserving multipartite entanglement in Rydberg systems.