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    Area of Science:

    • Quantum optics
    • Nonlinear optics
    • Wave propagation

    Background:

    • Quantum cavities are essential for studying quantum phenomena.
    • Kerr media exhibit intensity-dependent refractive indices, crucial for nonlinear effects.
    • Graded-index (GRIN) media offer controlled light propagation.

    Purpose of the Study:

    • To develop a novel method for simulating quantum cavities filled with Kerr media.
    • To investigate the behavior of Gaussian beams in GRIN media with nonlinear corrections.
    • To explore the potential for generating quantum superposition states.

    Main Methods:

    • Utilizing a conveniently shaped Gaussian beam.
    • Propagating the beam through a Graded-Index (GRIN) medium.
    • Introducing a second-order correction to paraxial beam propagation to model Kerr nonlinearity.

    Main Results:

    • Successfully mimicked a quantum cavity with a Kerr medium using Gaussian beam propagation in GRIN media.
    • Observed that a Gaussian beam can split into two distinct beams.
    • Demonstrated the generation of superposition of coherent states (Schrödinger cat states).

    Conclusions:

    • Gaussian beam propagation in GRIN media with nonlinear corrections provides a viable analogue for quantum cavity systems.
    • The beam splitting phenomenon directly corresponds to the creation of quantum superposition states.
    • This approach offers a new pathway for experimental realization and study of quantum phenomena.