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    Area of Science:

    • Quantum physics
    • Photonics
    • Non-Hermitian systems

    Background:

    • Non-Hermitian systems exhibit unique properties like exceptional points (EPs) where eigenvalues and eigenstates merge.
    • Higher-order EPs enhance sensitivity to perturbations, crucial for advanced sensing.
    • Achieving higher-order EPs typically requires strict symmetry conditions, posing a significant challenge.

    Purpose of the Study:

    • To investigate the dynamics of a generalized lossy waveguide beam splitter with asymmetric coupling.
    • To explore the role of non-reciprocity as a tunable parameter for achieving higher-order EPs.
    • To analyze the impact of non-reciprocity on quantum systems, specifically NOON-states.

    Main Methods:

    • Studied a generalized lossy waveguide beam splitter model.
    • Introduced non-reciprocity as a tunable parameter to control system dynamics.
    • Analyzed the evolution of NOON-states under non-reciprocal conditions.

    Main Results:

    • Successfully achieved higher-order EPs in a non-Hermitian system without dissipation by introducing non-reciprocity.
    • Demonstrated that non-reciprocity can be a key parameter for realizing higher-order EPs.
    • Observed the impact of activated non-reciprocity on the dynamics of NOON-states.

    Conclusions:

    • Non-reciprocity offers a new pathway to engineer higher-order EPs in non-Hermitian systems, circumventing traditional symmetry constraints.
    • This work provides a foundation for developing novel quantum sensing technologies leveraging enhanced EP sensitivity.
    • The findings are applicable to non-reciprocal open quantum systems, broadening the scope of EP research.