Authors

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

Comments

Authors: contact us about adding a copy of your work at [email protected]

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

WOS:000317585800019

ISSN

1050-2947

Download

Share

COinS
 

Accessibility Statement

This item was created or digitized prior to April 24, 2027, or is a reproduction of legacy media created before that date. It is preserved in its original, unmodified state specifically for research, reference, or historical recordkeeping. In accordance with the ADA Title II Final Rule, the University Libraries provides accessible versions of archival materials upon request. To request an accommodation for this item, please submit an accessibility request form.