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Extended State in a Localized Continuum.

Wei Wang1, Xulong Wang1, Guancong Ma1

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Researchers discovered an "extended state in a localized continuum" (ELC), the inverse of a bound state in a continuum (BIC). This new phenomenon arises from the non-Hermitian skin effect and localized continuum, offering potential for wave-based applications.

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Area of Science:

  • Topological physics
  • Condensed matter physics
  • Wave phenomena

Background:

  • Bound state in a continuum (BIC) describes spatially confined resonances within a continuous spectrum.
  • The non-Hermitian skin effect (NHSE) leads to the accumulation of bulk states at the boundaries of a system.
  • Understanding the interplay between BICs and NHSE is crucial for exploring novel topological phenomena.

Purpose of the Study:

  • To report the discovery of a novel non-Hermitian phenomenon: the extended state in a localized continuum (ELC).
  • To investigate the emergence of ELC from the interplay between BICs and NHSE.
  • To experimentally demonstrate the ELC in a physical system.

Main Methods:

  • Theoretical investigation of a Hermitian kagome lattice with a zero-energy BIC.
  • Introduction of non-Hermitian skin effect (NHSE) to induce the ELC.
  • Experimental realization using an active mechanical lattice.

Main Results:

  • Discovery of the extended state in a localized continuum (ELC), the inverse of a BIC.
  • Demonstration that ELC arises from the interplay between BIC and NHSE.
  • Experimental verification of ELC in an active mechanical lattice, showing bulk states become corner skin modes and the corner mode delocalizes.

Conclusions:

  • The ELC is a generic non-Hermitian phenomenon with unique properties.
  • The interplay between BIC and NHSE provides a new mechanism for controlling wave localization and delocalization.
  • Findings highlight the potential of NHSE and may inspire new wave-based applications.