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    Area of Science:

    • Quantum Optics
    • Non-equilibrium Physics

    Background:

    • The Mpemba effect describes the counterintuitive phenomenon where hotter water can freeze faster than colder water.
    • Quantum systems often exhibit unique behaviors not observed in classical systems, particularly under non-equilibrium conditions.

    Purpose of the Study:

    • To investigate the emergence of Mpemba-like effects in the quantum theory of lasers.
    • To analyze the temporal dynamics of photon number statistics in a single-mode laser system.

    Main Methods:

    • Examination of photon number statistics in a single-mode laser operating above threshold.
    • Modeling the relaxation dynamics of photon states using a non-integrable birth-death process.

    Main Results:

    • Demonstrated a quantum Mpemba-like effect in laser systems.
    • Observed that a laser system starting further from equilibrium can reach its stationary state faster than one starting closer to equilibrium.
    • Identified unique relaxation dynamics of photon states as the underlying mechanism.

    Conclusions:

    • The study reveals counterintuitive non-equilibrium dynamics in quantum laser systems.
    • Findings contribute to the understanding of quantum Mpemba effects and non-equilibrium phenomena in quantum optics.
    • Highlights the importance of relaxation dynamics in quantum statistical behavior.