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Related Concept Videos

The Hall Effect01:30

The Hall Effect

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Edwin H. Hall, in the year 1879, devised an experiment that could be used to identify the polarity of the predominant charge carriers in a conducting material. From a historical perspective, this experiment was the first to demonstrate that the charge carriers in most metals are negative.
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Zeno Hall Effect.

Zongping Gong1, Sho Higashikawa1, Masahito Ueda1,2

  • 1Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan.

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|June 6, 2017
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Summary
This summary is machine-generated.

The quantum Zeno effect can create the Hall effect in a 2D lattice system, leading to transverse wave packet motion. This "Zeno Hall effect" causes retroreflection at system edges, with potential ultracold atom experiments.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Atomic physics

Background:

  • The Hall effect describes particle deflection in response to a perpendicular magnetic field.
  • The quantum Zeno effect describes how frequent measurements can inhibit system evolution.

Purpose of the Study:

  • To demonstrate that the quantum Zeno effect can induce the Hall effect.
  • To introduce and characterize the "Zeno Hall effect".

Main Methods:

  • Tailoring the Hilbert space of a 2D lattice system into a single Bloch band.
  • Utilizing nontrivial Berry curvature within the tailored band structure.

Main Results:

  • The quantum Zeno effect was shown to give rise to the Hall effect.
  • A phenomenon termed the "Zeno Hall effect" was identified, featuring transverse wave packet motion.
  • Retroreflection at the system edge was observed due to band flatness and Berry curvature.

Conclusions:

  • The quantum Zeno effect provides a novel mechanism for realizing the Hall effect.
  • The Zeno Hall effect offers unique edge dynamics with potential experimental realization using ultracold atoms in optical lattices.