Abstract

We consider optical media, which feature antilinear symmetries. We show that (i) spectral singularities of such media (if any) are always self-dual, i.e., correspond to coherent perfect absorber lasers; (ii) under the change of a system parameter, the self-dual spectral singularity may split into a pair of isolated complex conjugate eigenvalues, which corresponds to an unconventional and overlooked, in the most of the previous studies, scenario of the phase transition (known as parity-time [PT]-symmetry breaking in systems obeying PT symmetry); (iii) if the antilinear symmetry is local, i.e., does not involve any spatial reflection, then no spectral singularity is possible. Our findings are illustrated with several examples including a PT-symmetric bilayer and other complex potentials discussed in recent literature.

© 2017 Optical Society of America

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Corrections

Vladimir V. Konotop and Dmitry A. Zezyulin, "Phase transition through the splitting of self-dual spectral singularity in optical potentials: erratum," Opt. Lett. 44, 1051-1051 (2019)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-44-4-1051

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