Journal
PHYSICAL REVIEW A
Volume 87, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.87.043819
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Funding
- NSF [ECCS-1128520]
- AFOSR [FA95501210148]
- German National Academy of Sciences Leopoldina [LPDS 2012-01]
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We show that the formalism of supersymmetry (SUSY), when applied to parity-time (PT) symmetric optical potentials, can give rise to refractive index landscapes with altogether nontrivial properties. In particular, we find that the presence of gain and loss allows for arbitrarily removing bound states from the spectrum of a structure. This is in stark contrast to the Hermitian case, where the SUSY formalism can only address the fundamental mode of a potential. Subsequently we investigate isospectral families of complex potentials that exhibit entirely real spectra, despite the fact that their shapes violate PT symmetry. Finally, the role of SUSY transformations in the regime of spontaneously broken PT symmetry is investigated. DOI: 10.1103/PhysRevA.87.043819
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