
We show that the quantum Zeno effect gives rise to the Hall effect by tailoring the Hilbert space of a two-dimensional lattice system into a single Bloch band with a nontrivial Berry curvature. Consequently, a wave packet undergoes transverse motion in response to a potential gradient -- a phenomenon we call the Zeno Hall effect to highlight its quantum Zeno origin. The Zeno Hall effect leads to retroreflection at the edge of the system due to an interplay between the band flatness and the nontrivial Berry curvature. We propose an experimental implementation of this effect with ultracold atoms in an optical lattice.
6+10 pages, 5+13 figures, to appear in Phys. Rev. Lett
Quantum Physics, Quantum Gases (cond-mat.quant-gas), FOS: Physical sciences, Condensed Matter - Quantum Gases, Quantum Physics (quant-ph)
Quantum Physics, Quantum Gases (cond-mat.quant-gas), FOS: Physical sciences, Condensed Matter - Quantum Gases, Quantum Physics (quant-ph)
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