<p>Non-Hermitian systems host exotic phenomena absent in their Hermitian counterparts, including the recently predicted self-healing effect (SHE) of non-Hermitian skin modes. Here we propose and numerically demonstrate a feasible scheme to realize SHE in photonic Floquet lattices via skin mode tunability (SMT), a mechanism in which the spectrum of skin modes localized at one boundary can be tuned via a potential applied at the opposite boundary. We first develop the SMT mechanism using a tight-binding Floquet Hamiltonian, and then confirm the self-healing dynamics through beam propagation method simulations in an array of coupled helical waveguides with experimentally accessible parameters [<CitationRef CitationID="CR1">1</CitationRef>, <CitationRef CitationID="CR2">2</CitationRef>]. We show that a targeted skin mode becomes exceptionally sensitive to remote-boundary potentials, allowing broad-range spectral control and the generation of a self-healing state. While full experimental realization remains challenging due to long propagation lengths and loss, our numerical proof of concept together with a discussion of compatible platforms establishes a general framework for engineering skin modes via local perturbations, expanding the toolbox for non-Hermitian wave control.</p>

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Skin mode tunability and self-healing effect in photonic Floquet lattices

  • Hua-Yu Bai,
  • Yang Chen,
  • Tian-Yang Zhang,
  • Guang-Can Guo,
  • Ming Gong,
  • Xi-Feng Ren

摘要

Non-Hermitian systems host exotic phenomena absent in their Hermitian counterparts, including the recently predicted self-healing effect (SHE) of non-Hermitian skin modes. Here we propose and numerically demonstrate a feasible scheme to realize SHE in photonic Floquet lattices via skin mode tunability (SMT), a mechanism in which the spectrum of skin modes localized at one boundary can be tuned via a potential applied at the opposite boundary. We first develop the SMT mechanism using a tight-binding Floquet Hamiltonian, and then confirm the self-healing dynamics through beam propagation method simulations in an array of coupled helical waveguides with experimentally accessible parameters [1, 2]. We show that a targeted skin mode becomes exceptionally sensitive to remote-boundary potentials, allowing broad-range spectral control and the generation of a self-healing state. While full experimental realization remains challenging due to long propagation lengths and loss, our numerical proof of concept together with a discussion of compatible platforms establishes a general framework for engineering skin modes via local perturbations, expanding the toolbox for non-Hermitian wave control.