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Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks

Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks

The topology of a single-particle band structure plays a fundamental role in understanding a multitude of physical phenomena. Motivated by the connection between quantum walks and such topological band structures, we demonstrate that a simple time-dependent, Bloch-oscillating quantum walk enables the direct measurement of topological invariants. We consider two classes …