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Fractional Topological Phases, Flat Bands, and Protected Zero-Energy Edge States in Small Cyclic Quantum Walks

Panda, Dinesh Kumar et al.
arXiv (All) · Papers
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applied-physicscomputationhigh-energy-physics-theoryquantum-physicsstrongly-correlated-electrons
We report the first realization of a fractional topological phase in a fully unitary, noninteracting discrete-time quantum walk implemented on finite cyclic graphs. Using a single-coin split-step cyclic quantum walk (SCSS-CQW), we uncover topological phenomena that are inaccessible within convention
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