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Optical Realization of Relativistic Non-Hermitian Quantum Mechanics

Optical Realization of Relativistic Non-Hermitian Quantum Mechanics

Light propagation in distributed-feedback optical structures with gain or loss regions is shown to provide an accessible laboratory tool to visualize in optics the spectral properties of the one-dimensional Dirac equation with non-Hermitian interactions. Spectral singularities and $\mathcal{P}\mathcal{T}$ symmetry breaking of the Dirac Hamiltonian are shown to correspond to simple …