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    This study demonstrates an all-optical transistor using Rydberg atoms and optomechanical cavities. It achieves functions like a controllable diode and amplifier with a single gate photon.

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    Area of Science:

    • Quantum optics
    • Optomechanics
    • Atomic physics

    Background:

    • Hybrid systems combining optical cavities and Rydberg atoms offer unique quantum phenomena.
    • Spatial inversion symmetry in double cavity structures can be manipulated.
    • Coherent perfect absorption/transmission/synthesis (CPA/CPT/CPS) effects are known optical phenomena.

    Purpose of the Study:

    • To investigate the optical response of a double optomechanical cavity system assisted by Rydberg atoms.
    • To theoretically propose an all-optical transistor with diode, rectifier, and amplifier functionalities.
    • To explore long-range manipulation of optical properties via controlled atom-cavity coupling.

    Main Methods:

    • Theoretical modeling of a double optomechanical cavity system coupled to two Rydberg atoms.
    • Analysis of optical properties by controlling the coupling between atoms and cavity modes.
    • Integration of optical non-reciprocity with CPA/CPT/CPS effects.

    Main Results:

    • Switching atom-cavity coupling breaks the spatial inversion symmetry of the double cavity.
    • Demonstration of controllable optical non-reciprocity.
    • Theoretical proposal for an all-optical transistor controlled by a single gate photon.

    Conclusions:

    • The proposed system enables advanced optical functionalities through precise control of quantum interactions.
    • This work paves the way for novel all-optical signal processing devices.
    • Rydberg atom-assisted optomechanical systems offer a promising platform for quantum information processing.