<p>We present a theoretical investigation of wave dynamics in two-dimensional non-Hermitian <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({{\mathcal{P}}}{{\mathcal{T}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi class="MJX-tex-caligraphic" mathvariant="script">P</mi> <mi class="MJX-tex-caligraphic" mathvariant="script">T</mi> </mrow> </math></EquationSource> </InlineEquation>-symmetric lattices, where onsite, as well as inter-site control couplings are employed. Our analysis shows that these couplings can be tuned to achieve a direction-sensitive group velocity enhancement beyond what is possible in the uncontrolled (Hermitian) counterpart, while ensuring that the wave packet evolution remains bounded and dynamically stable. We derive a dedicated relation between the control parameters, providing a systematic condition under which stability is guaranteed. We then study the topological properties of the non-Hermitian system at hand and use an experimental-ready topoelecric metamaterial platform to demonstrate the non-Hermitian couplings realization and the resulting wave dynamics. This framework paves the way to designing stable and fast wave transport in planar non-Hermitian media.</p>

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Fast wave transport in two-dimensional \({{\mathcal{P}}}{{\mathcal{T}}}\)-symmetric lattices

  • Sayan Jana,
  • Lea Sirota

摘要

We present a theoretical investigation of wave dynamics in two-dimensional non-Hermitian \({{\mathcal{P}}}{{\mathcal{T}}}\) P T -symmetric lattices, where onsite, as well as inter-site control couplings are employed. Our analysis shows that these couplings can be tuned to achieve a direction-sensitive group velocity enhancement beyond what is possible in the uncontrolled (Hermitian) counterpart, while ensuring that the wave packet evolution remains bounded and dynamically stable. We derive a dedicated relation between the control parameters, providing a systematic condition under which stability is guaranteed. We then study the topological properties of the non-Hermitian system at hand and use an experimental-ready topoelecric metamaterial platform to demonstrate the non-Hermitian couplings realization and the resulting wave dynamics. This framework paves the way to designing stable and fast wave transport in planar non-Hermitian media.