Encircling an exceptional point once changes a transported quantum state by an order-four operator, so the exceptional point acts as a topological defect in the full Hilbert space bundle.
Znojil, Hybrid form of quantum theory with non-Hermitian Hamiltonians , Phys
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Evidence for Exceptional Points as Topological Defects
Encircling an exceptional point once changes a transported quantum state by an order-four operator, so the exceptional point acts as a topological defect in the full Hilbert space bundle.