Abbreviated Journal Title
Phys. Rev. A
Keywords
QUANTUM-MECHANICS; ENERGY-SPECTRA; SYMMETRY; HAMILTONIANS; HERMITICITY; Optics; Physics, Atomic, Molecular & Chemical
Abstract
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.
Journal Title
Physical Review A
Volume
87
Issue/Number
4
Publication Date
1-1-2013
Document Type
Article
Language
English
First Page
5
WOS Identifier
ISSN
1050-2947
Recommended Citation
Miri, Mohammad-Ali; Heinrich, Matthias; and Christodoulides, Demetrios N., "Supersymmetry-generated complex optical potentials with real spectra" (2013). Faculty Bibliography 2010s. 4414.
https://stars.library.ucf.edu/facultybib2010/4414
Comments
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