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Area of Science:

  • Condensed Matter Physics
  • Topological Materials
  • Classical Wave Phenomena

Background:

  • Local density of states (LDOS) is a key tool for exploring topological phases in classical waves.
  • Current LDOS detection methods are limited to static systems and are not widely applicable.

Purpose of the Study:

  • To introduce a generic dynamical method for detecting both static and Floquet local density of states.
  • To establish a universal approach for identifying static and Floquet topological phases, including higher-order topological phases.

Main Methods:

  • Utilizing the connection between chiral density dynamics and local spectral densities.
  • Developing a dynamical method to measure Floquet quasienergy spectra and identify topological π modes.

Main Results:

  • Demonstrated a universal method to identify static and Floquet higher-order topological phases via LDOS detection.
  • Showcased the ability to detect topological corner modes irrespective of their position within energy gaps, bands, or continuous spectra.

Conclusions:

  • The proposed dynamical LDOS detection method offers a new avenue for exploring topological spectral densities.
  • This provides a universal and versatile approach for identifying static and Floquet topological phases in classical wave systems.