2022/04/28 by Cavalcanti, E., Alvarenga, N. M., Reis, F. +3
#FOS: Physical sciences #Mathematical Physics (math-ph) #Other Condensed Matter (cond-mat.other) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2204.13350
We propose a non-Hermitian deformation of the Mathieu equation that preserves PT symmetry and study its spectrum and the transition from PT-unbroken to PT-broken phases. We show that our model not only reproduces behaviors expected by the literature but also indicates the existence of a richer structure for the spectrum. We also discuss the influence of the boundary condition and the model parameters in the exceptional line that marks the PT breaking.