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Related Experiment Videos

Direct Probe of Topological Invariants Using Bloch Oscillating Quantum Walks.

V V Ramasesh1, E Flurin1, M Rudner2

  • 1Department of Physics, University of California, Berkeley California 94720, USA.

Physical Review Letters
|April 15, 2017
PubMed
Summary

Researchers demonstrate a quantum walk method for measuring topological invariants in band structures. This technique uses a Bloch-oscillating quantum walk to directly probe topological properties, offering a new experimental approach.

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Area of Science:

  • Quantum physics
  • Condensed matter physics

Background:

  • Topological band structures are crucial for understanding diverse physical phenomena.
  • Quantum walks are increasingly linked to the study of topological band structures.

Purpose of the Study:

  • To demonstrate a quantum walk method for directly measuring topological invariants.
  • To connect quantum walk dynamics and phase imprinting to topological properties.

Main Methods:

  • Utilizing a time-dependent, Bloch-oscillating quantum walk.
  • Analyzing the global phase imprinted on the quantum walker.
  • Disentangling dynamical and geometric phase contributions.
  • Proposing a circuit Quantum Electrodynamics (QED) architecture with a superconducting transmon qubit.

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Main Results:

  • A direct measurement of topological invariants is enabled by the quantum walk.
  • The global phase imprinted on the walker correlates with its refocusing behavior.
  • A general strategy for measuring topological invariants in quantum walks is described.

Conclusions:

  • Quantum walks offer a powerful tool for probing topological band structures.
  • The proposed experimental protocol in circuit QED provides a feasible route for these measurements.