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    Area of Science:

    • Quantum optics
    • Geometric phase
    • Light polarization

    Background:

    • The geometric phase, a fundamental concept in quantum mechanics, is crucial for understanding phase evolution in optical systems.
    • Poincaré sphere trajectories are essential for visualizing and manipulating the polarization states of light.

    Purpose of the Study:

    • To experimentally demonstrate a novel geometric phase generation.
    • To explore closed Poincaré sphere trajectories using geodesic arcs that do not involve the poles.
    • To prepare and manipulate arbitrarily tilted single vortex states.

    Main Methods:

    • Preparation of arbitrarily tilted (elliptical) single vortex states using a spatial light modulator.
    • Driving Poincaré sphere circuits through a series of π-converters and Dove prisms.
    • Experimental demonstration of geometric phase generation.

    Main Results:

    • The first experimental demonstration of a geometric phase associated with closed Poincaré sphere trajectories.
    • Successful generation of geometric phase using geodesic arcs not including the poles.
    • Control over arbitrarily tilted single vortex states.

    Conclusions:

    • This study expands the understanding of geometric phase generation in optical systems.
    • The presented method offers a new pathway for controlling light polarization and phase.
    • The findings have implications for quantum optics and optical information processing.