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Simulating Z2 topological insulators via a one-dimensional cavity optomechanical cells array.

Lu Qi, Yan Xing, Hong-Fu Wang

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    Summary

    We propose a novel method to simulate Z2 topological insulators using 1D cavity optomechanical arrays. This approach allows for transitions between quantum spin Hall edge states by controlling photon-phonon bosons.

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    Area of Science:

    • Condensed Matter Physics
    • Quantum Optics
    • Topological Materials

    Background:

    • Topological insulators (TIs) exhibit unique electronic properties with potential applications in spintronics and quantum computing.
    • Simulating complex topological phases like Z2 topological insulators in controllable systems is crucial for experimental realization.

    Purpose of the Study:

    • To propose a novel scheme for simulating Z2 topological insulators.
    • To establish a direct mapping between 1D cavity optomechanical arrays and 2D quantum spin Hall systems.

    Main Methods:

    • Utilizing diagonalization and dimensional reduction techniques.
    • Employing a 1D generalized Harper equation with an SU(2) gauge structure.
    • Investigating spin pumping of effective photon-phonon bosons.

    Main Results:

    • A direct mapping between 1D cavity optomechanical arrays and 2D quantum spin Hall systems was achieved.
    • Topological features were captured using a modified 1D Harper equation.
    • Spin pumping of photon-phonon bosons was derived, enabling transitions between quantum spin Hall edge states.

    Conclusions:

    • The proposed scheme offers a viable platform for simulating and exploring Z2 topological insulators.
    • The system allows for dynamic control and transitions between different quantum spin Hall edge states.
    • This work bridges cavity optomechanics with topological physics.