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    Spontaneous three-photon down-conversion exhibits phase tristability, leading to three equally probable signal states. This phenomenon, analogous to a phase transition, offers potential for ternary computing bits.

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    Area of Science:

    • Quantum Optics
    • Nonlinear Optics
    • Quantum Information

    Background:

    • Spontaneous parametric down-conversion (SPDC) is a key quantum optical process.
    • Understanding nonlinear oscillators is crucial for quantum signal generation.
    • Phase stability in quantum systems is fundamental for information processing.

    Purpose of the Study:

    • To investigate the phase properties of sub-harmonic signals in three-photon down-conversion.
    • To model and analyze the oscillations of the signal in a resonant cavity.
    • To explore the potential of phase tristability for unconventional computing.

    Main Methods:

    • Analytical modeling of a second-order nonlinear oscillator.
    • Analysis of self-sustained oscillations and their stability.
    • Utilizing an energy landscape function to determine attractor basins.

    Main Results:

    • Demonstrated phase tristability in spontaneous three-photon down-conversion.
    • Identified three equally probable states with distinct phase contrasts.
    • Showcased the onset of oscillations as a bifurcation from infinity.

    Conclusions:

    • The phase-tristable oscillator exhibits behavior analogous to a first-order phase transition.
    • The stability of the three ternary states is confirmed via energy landscape analysis.
    • The phase-tristable oscillator is a promising candidate for classical ternary bit applications in unconventional computing.