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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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Dynamical topological phase realized in a trapped-ion quantum simulator.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Atomic, Molecular, and Optical Physics

Background:

  • Programmable quantum simulators offer new avenues for studying far-from-equilibrium quantum dynamics.
  • Precise control of quantum many-body entanglement is vital for quantum sensing and computation.
  • Theoretical models predict topologically robust methods for entanglement manipulation, but experimental realization remains challenging.

Purpose of the Study:

  • To experimentally demonstrate an emergent dynamical symmetry-protected topological phase.
  • To investigate the properties of edge qubits in such a phase for error resilience.
  • To compare the stability of quasiperiodically driven systems with periodically driven ones.

Main Methods:

  • Utilized a quasiperiodically driven array of ten ytterbium-171 (¹⁷¹Yb⁺) hyperfine qubits on Quantinuum's System Model H1 trapped-ion quantum processor.
  • Engineered a dynamical symmetry-protected topological phase.
  • Analyzed the behavior of edge qubits under various perturbations.

Main Results:

  • Successfully demonstrated an emergent dynamical symmetry-protected topological phase.
  • Observed that edge qubits within this phase are dynamically protected from control errors, cross-talk, and stray fields.
  • Showcased the superior stability of quasiperiodically driven edge states compared to periodically driven ones, which are prone to decoherence.

Conclusions:

  • The demonstrated phase offers inherent error resilience due to emergent dynamical symmetries, stable against coherent perturbations.
  • Quasiperiodic driving is key to achieving these robust topological properties, unlike periodic driving.
  • This work lays the foundation for implementing complex dynamical topological orders for error-resilient quantum information processing.