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Rectified Bloch oscillations in dynamically modulated waveguide arrays.

Kaiyun Zhan, Xinyue Kang, Lichao Dou

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    Summary

    Dynamically modulated waveguide arrays exhibit rectified Bloch oscillations, a novel phenomenon where excitations move in opposite directions, forming diamond patterns. This behavior is tunable via coupling strength, inverting oscillation direction at critical values.

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    Area of Science:

    • Nonlinear Optics
    • Condensed Matter Physics
    • Waveguide Optics

    Background:

    • Waveguide arrays are crucial for simulating quantum phenomena like Bloch oscillations.
    • External potentials and dynamic modulations offer pathways to control light propagation.
    • Understanding excitation dynamics is key to novel optical device development.

    Purpose of the Study:

    • To investigate excitation dynamics in dynamically modulated waveguide arrays with an external linear potential.
    • To explore the emergence of novel phenomena, specifically rectified Bloch oscillations.
    • To analyze the influence of modulation and coupling strength on Bloch oscillation dynamics.

    Main Methods:

    • Theoretical study of excitation dynamics in engineered waveguide arrays.
    • Analysis of quasi-energy band structure under longitudinal periodic modulation.
    • Numerical simulations to observe Bloch oscillation dynamics and intensity patterns.

    Main Results:

    • Longitudinal modulation alters quasi-energy band width, leading to dynamical band suppression and linear dispersion.
    • Rectified Bloch oscillations are observed, characterized by bidirectional excitation and a diamond-like intensity network.
    • Oscillation amplitude and direction are strongly dependent on coupling strength, with inversion occurring at critical values.

    Conclusions:

    • Dynamically modulated waveguide arrays with external potentials enable novel light dynamics.
    • Rectified Bloch oscillations represent a new phenomenon with potential applications in optical signal processing.
    • Control over coupling strength is essential for tuning and inverting the direction of these oscillations.