Robustness versus sensitivity in non-Hermitian topological lattices probed by pseudospectra (CROSBI ID 321087)
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Komis, Ioannis ; Kaltsas, Dimitrios ; Xia, Shiqi ; Buljan, Hrvoje ; Chen, Zhigang ; Makris, Konstantinos G.
engleski
Robustness versus sensitivity in non-Hermitian topological lattices probed by pseudospectra
Non-Hermitian topological systems simultaneously possess two antagonistic features: ultrasensitivity due to exceptional points and robustness of topological zero-energy modes, and it is unclear which one prevails under different perturbations. We study that question by applying the pseudospectrum theory on the prototypical non-Hermitian Su-Schrieffer-Heeger lattice. Topological modes around the underlying third-order exceptional point (EP3) are robust with respect to chiral perturbations but sensitive to diagonal perturbations. In fact, exactly at the EP3 the chiral symmetry leads to a suppressed sensitivity, that corresponds to an EP2. Finally, for nonlinearly induced perturbations we provide a connection between the pseudospectrum approach and a nonlinear phase shift, which is relevant for experiments.
parity-time symmetry ; laser ; physics ; transition ; stability ; solitons ; states
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