Eur. Phys. J. D (2015) 69: 11
https://doi.org/10.1140/epjd/e2014-50652-x

Regular Article

Pseudo PT symmetric lattice

Physics Department, Anadolu University, 26470 Eskişehir, Turkey

^a e-mail: cyuce@anadolu.edu.tr

Received: 2 September 2014
Received in final form: 20 October 2014
Published online: 13 January 2015

Abstract

We study pseudo symmetry for a tight binding lattice with a general form of the modulation. Using high-frequency Floquet method, we show that the critical non-Hermitian degree for the reality of the spectrum can be manipulated by varying the parameters of the modulation. We study the effect of periodical and quasi-periodical nature of the modulation on the pseudo symmetry.