Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.
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Stochastic noise constructively enhances edge self-healing in non-Hermitian systems: weak noise aligns finite-time Lyapunov exponents to prolong healing, while strong noise induces effective non-unitary drift-diffusion for universal asymptotic recovery.
Ornstein-Uhlenbeck noise resurrects the dynamical skin effect in quasiperiodic non-Hermitian systems by mapping the dynamics to a non-reciprocal master equation with a noise-induced point gap.
Gapped non-Hermitian systems exhibit topologically distinct spectral Riemann sheet configurations protected by energy gaps, formed by annihilating exceptional points across the Brillouin zone boundary.
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Mobile Exceptional Points Generate Momentum-Space Switching Domains
Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.