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Realizing topological edge states with Rydberg-atom synthetic dimensions.

S K Kanungo1,2, J D Whalen3,4, Y Lu3,4

  • 1Department of Physics and Astronomy, Rice University, Houston, TX, 77005-1892, USA. skk4@rice.edu.

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|February 22, 2022
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Summary
This summary is machine-generated.

Researchers engineered synthetic dimensions using ultracold strontium atoms and millimeter waves to realize the Su-Schrieffer-Heeger (SSH) model. This approach revealed robust, symmetry-protected topological edge states, advancing quantum simulation capabilities.

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Area of Science:

  • Quantum Simulation
  • Topological Matter
  • Atomic Physics

Background:

  • Synthetic dimensions offer enhanced control for quantum simulations, enabling access to complex configurations.
  • Real-space lattice potentials are foundational, but synthetic dimensions provide novel avenues for exploration.
  • The Su-Schrieffer-Heeger (SSH) Hamiltonian is a key model for understanding topological phases of matter.

Purpose of the Study:

  • To demonstrate a synthetic-dimension approach for realizing the SSH Hamiltonian using ultracold atoms.
  • To engineer tunable tunneling amplitudes and on-site potentials via millimeter waves.
  • To investigate the emergence of topological edge states in this synthetic lattice.

Main Methods:

  • Utilized ultracold 84Sr atoms in a synthetic dimension based on Rydberg levels coupled by millimeter waves.
  • Controlled tunneling amplitudes and on-site potentials using millimeter-wave amplitudes and detunings.
  • Probed band structure and identified edge states via optical excitation and analysis of Rydberg levels.

Main Results:

  • Successfully realized the single-particle SSH Hamiltonian in a one-dimensional synthetic lattice.
  • Observed symmetry-protected topological edge states at zero energy within the band structure.
  • Demonstrated robustness of edge-state energies to perturbations preserving chiral symmetry.

Conclusions:

  • Synthetic dimensions provide a powerful platform for simulating topological matter, exemplified by the SSH model.
  • The engineered Rydberg-level system allows for precise control over topological properties.
  • Edge-state properties are sensitive to symmetry-breaking perturbations, offering further avenues for control.