Title

Supersymmetry-generated complex optical potentials with real spectra

Authors

Authors

M. A. Miri; M. Heinrich;D. N. Christodoulides

Comments

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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. DOI: 10.1103/PhysRevA.87.043819

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

WOS:000317585800019

ISSN

1050-2947

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