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Exploring 2D Synthetic Quantum Hall Physics with a Quasiperiodically Driven Qubit.

Eric Boyers1, Philip J D Crowley1, Anushya Chandran1

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|October 30, 2020
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Summary
This summary is machine-generated.

Researchers experimentally demonstrated a synthetic quantum Hall effect using a driven nitrogen-vacancy center in diamond. This work reveals quantized topological properties and opens avenues for creating higher-dimensional topological materials.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Quantum information science

Background:

  • Quasiperiodically driven quantum systems are theoretically predicted to display quantized topological properties, mirroring topological insulators.
  • Quantum Hall effect is a phenomenon observed in 2D electron systems subjected to a magnetic field, exhibiting quantized Hall resistance.

Purpose of the Study:

  • To experimentally investigate a synthetic quantum Hall effect in a driven quantum system.
  • To explore quantized topological properties in a nitrogen-vacancy center in diamond using a two-tone drive.
  • To detect and characterize topological phases via overlap oscillations and Chern number measurements.

Main Methods:

  • Utilizing a single nitrogen-vacancy center in diamond as a quantum simulator.
  • Implementing a two-tone drive to create a synthetic gauge field.
  • Measuring the time evolution of quantum state trajectories in synthetic phase space.
  • Analyzing overlap oscillations to detect the synthetic Hall effect and determine the Chern number.

Main Results:

  • Experimental observation of a synthetic quantum Hall effect.
  • Detection of overlap oscillations at a quantized fundamental frequency proportional to the Chern number.
  • Observation of half-quantization of the Chern number at the transition between topological regimes.
  • Identification of localized Berry curvature in synthetic phase space.

Conclusions:

  • The study successfully demonstrates the synthetic quantum Hall effect in a driven qubit system.
  • The findings validate the prediction of quantized topological properties in quasiperiodically driven systems.
  • This research paves the way for using driven qubits to engineer higher-dimensional topological insulators and semimetals in synthetic dimensions.