Authors

O. Vazquez-Candanedo; J. C. Hernandez-Herrejon; F. M. Izrailev;D. N. Christodoulides

Comments

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Abbreviated Journal Title

Phys. Rev. A

Keywords

NON-HERMITIAN HAMILTONIANS; WAVE-GUIDE; AMPLIFICATION; TRANSMISSION; REFLECTION; ABSORPTION; LATTICES; REAL; SPECTRA; SYSTEMS; Optics; Physics, Atomic, Molecular & Chemical

Abstract

We investigate the properties of parity-time (PT)-symmetric tight-binding models by considering both bounded and unbounded models. For the bounded case, we obtain closed form expressions for the corresponding energy spectra and we analyze the structure of eigenstates as well as their dependence on the gain or loss contrast parameter. For unbounded PT lattices, we explore their scattering properties through the development of analytical models. Based on our approach we identify a mechanism that is responsible to the emergence of localized states that are entirely due to the presence of gain and loss. The derived expressions for the transmission and reflection coefficients allow one to better understand the role of PT symmetry in energy transport problems occurring in such PT-symmetric tight-binding settings. Our analytical results are further exemplified via pertinent examples.

Journal Title

Physical Review A

Volume

89

Issue/Number

1

Publication Date

1-1-2014

Document Type

Article

Language

English

First Page

14

WOS Identifier

WOS:000332212300011

ISSN

1050-2947

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