TL;DR
This paper investigates how pseudo PT symmetry in a modulated tight-binding lattice can be controlled through high-frequency Floquet analysis, affecting the spectral reality and the impact of different modulation types.
Contribution
It introduces a method to manipulate the critical non-Hermitian degree for real spectra in pseudo PT symmetric lattices via modulation parameters.
Findings
Critical non-Hermitian degree can be tuned by modulation parameters.
Periodical and quasi-periodical modulations influence pseudo PT symmetry.
High-frequency Floquet method effectively analyzes spectral properties.
Abstract
We study pseudo PT 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 PT symmetry.
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