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    Area of Science:

    • Quantum optics
    • Quantum information science
    • Condensed matter physics

    Background:

    • The Tavis-Cummings model describes interacting qubits and a quantized field.
    • Parametric driving can break symmetries and induce phase transitions.
    • Superradiant phase transitions are crucial in quantum many-body systems.

    Purpose of the Study:

    • To analyze the quantum metric in a driven Tavis-Cummings model.
    • To characterize critical behaviors near a superradiant phase transition.
    • To propose a quantum metrological protocol leveraging these critical behaviors.

    Main Methods:

    • Analytical solution of eigenenergies and eigenstates.
    • Numerical simulation of system dynamics near the critical point.
    • Definition of quantum metric based on quantum state response to control parameters.

    Main Results:

    • The quantum metric effectively characterizes critical behaviors near the superradiant phase transition.
    • Spontaneous breaking of Z2 symmetry, induced by parametric driving, initiates the superradiant phase transition.
    • The study identified specific critical behaviors of the quantum metric.

    Conclusions:

    • The quantum metric provides a powerful tool for understanding quantum phase transitions.
    • A novel quantum metrology protocol can enhance measurement precision near criticality.
    • The driven Tavis-Cummings model serves as a valuable platform for exploring quantum criticality and metrology.