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Thouless Pumping in a Driven-Dissipative Kerr Resonator Array.

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Physical Review Letters
|March 25, 2025
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Summary
This summary is machine-generated.

We demonstrate a novel Thouless pump using nonlinear physics in coupled Kerr resonators. This approach achieves quantized charge transport in interacting systems, opening new avenues for topological quantum matter research.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Optics
  • Topological Matter

Background:

  • Thouless pumping demonstrates topology in physics via quantized charge transport.
  • Extending Thouless pumping to interacting systems remains a significant challenge.
  • Nonlinear physics and driven-dissipative systems offer new paradigms for topological phenomena.

Purpose of the Study:

  • To propose and investigate a novel Thouless pump based entirely on nonlinear physics.
  • To explore the generation of topological bands in interacting systems.
  • To demonstrate interaction-induced topological transitions.

Main Methods:

  • Utilizing a chain of coupled Kerr resonators with time- and space-modulated on-site Kerr interactions.
  • Analyzing the Bogoliubov spectrum of excitations to identify topological bands.
  • Employing numerical simulations with parameters inspired by exciton-polaritons.

Main Results:

  • Successfully generated 1+1-dimensional topological bands analogous to the Harper-Hofstadter model.
  • Observed quantized transport of Wannier states, consistent with band Chern numbers.
  • Identified driving configurations that induce band inversion and topological phase transitions.

Conclusions:

  • A nonlinear Thouless pump is feasible in driven-dissipative coupled Kerr resonators.
  • This work extends topological pumping to interacting systems via nonlinear effects.
  • Exciton-polariton systems provide a promising platform for realizing these driven topological phases.