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Simulating Chern insulators on a superconducting quantum processor.

Zhong-Cheng Xiang1, Kaixuan Huang1,2,3, Yu-Ran Zhang4,5,6

  • 1Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China.

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Summary
This summary is machine-generated.

Researchers experimentally demonstrated Chern insulators using synthetic dimensions on a superconducting quantum processor. This work explores topological phases and the bulk-edge correspondence in quantum matter.

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Area of Science:

  • Condensed matter physics
  • Quantum information science
  • Topological phases of matter

Background:

  • The quantum Hall effect is crucial for understanding emergent phases of matter.
  • Chern insulators are a key area of topological matter research.
  • Synthetic dimensions offer novel platforms for exploring quantum phenomena.

Purpose of the Study:

  • To experimentally demonstrate Chern insulators using synthetic dimensions on a programmable superconducting processor.
  • To investigate the bulk-edge correspondence in synthetic 2D Chern insulators.
  • To simulate bilayer Chern insulators and explore their topological properties.

Main Methods:

  • Utilized a 30-qubit-ladder superconducting processor.
  • Experimentally measured band structures along synthetic dimensions.
  • Observed dynamical localization of edge excitations.
  • Simulated bilayer Chern insulators with modulated on-site potentials.

Main Results:

  • Successfully demonstrated three types of Chern insulators with synthetic dimensions.
  • Implemented the bulk-edge correspondence in a synthetic 2D Chern insulator.
  • Simulated topologically nontrivial edge states and a Chern insulator with higher Chern numbers.

Conclusions:

  • Superconducting qubits provide a powerful platform for investigating topological phases of quantum matter.
  • The experimental demonstration validates theoretical predictions for Chern insulators in synthetic dimensions.
  • This work opens avenues for exploring complex topological phenomena using quantum simulators.