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- W4280638636 abstract "We propose two non-Hermitian arrays consisting of $N=2l+1$ waveguides and exhibiting parity-time ($mathcal{PT}$) or anti-$mathcal{PT}$ symmetry for investigating light transfer dynamics based on $N$th-order exceptional points (EPs). The $mathcal{PT}$-symmetric array supports two $N$th-order EPs separating an unbroken and a broken phase with real and imaginary eignvalues, respectively. Light transfer dynamics in this array exhibits radically different behaviors, i.e. a unidirectional oscillation behavior in the unbroken phase, an edge-towards localization behavior in the broken phase, and a center-towards localization behavior just at $N$th-order EPs. The anti-$mathcal{PT}$-symmetric array supports also two $N$th-order EPs separating an unbroken and a broken phase, which refer however to imaginary and real eigenvalues, respectively. Accordingly, light transfer dynamics in this array exhibits a center-towards localization behavior in the unbroken phase and an origin-centered oscillation behavior in the broken phase. These nontrivial light transfer behaviors and their controlled transitions are not viable for otherwise split lower-order EPs and depend on the underlying $SU(2)$ symmetry of spin-$l$ matrices." @default.
- W4280638636 created "2022-05-22" @default.
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- W4280638636 date "2022-05-16" @default.
- W4280638636 modified "2023-09-24" @default.
- W4280638636 title "Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays" @default.
- W4280638636 hasPublicationYear "2022" @default.
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