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    Area of Science:

    • Quantum optics
    • Nonlinear fiber optics
    • Interferometry

    Background:

    • Optical solitons are fundamental in nonlinear optics.
    • Fiber Sagnac interferometers offer unique nonlinear optical properties.
    • Quantum noise limits precision in optical measurements.

    Purpose of the Study:

    • Investigate quantum noise in optical solitons.
    • Analyze squeezing in asymmetric fiber Sagnac interferometers.
    • Determine factors influencing noise reduction and squeezing.

    Main Methods:

    • Perturbation approach to study quantum noise.
    • Derivation of analytical expressions for quadrature correlators.
    • Analysis of nonlinear Kerr effect and group-velocity dispersion.

    Main Results:

    • Identified number-phase correlation from Kerr nonlinearity as key to noise reduction.
    • Predicted detectable amplitude squeezing.
    • Determined optimum power-splitting ratio for the interferometer.
    • Group-velocity dispersion limits the minimum achievable Fano factor.

    Conclusions:

    • Kerr nonlinearity is crucial for observable noise reduction in this system.
    • Dispersion effects must be considered for optimizing squeezing.
    • The study provides a framework for understanding and controlling quantum noise in optical interferometers.