We consider an N-level non-Hermitian Hamiltonian with an exceptional point of order N. We define adiabatic equivalence in such systems and explore topological phase. We show that the topological exceptional states appear at the interface of topologically distinct systems. We discuss that topological states appear even in closed systems. We explore dynamical robustness of exceptional edge states.
Optical lattices with exceptional points in the continuum
Non-adiabatic transitions through exceptional points in the band structure of a PT-symmetric lattice
Subthreshold phonon generation in an optomechanical system with an exceptional point
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