Characteristic determinant approach to the spectrum of one-dimensional PT-symmetric systems

Outlet Title

physical review research

Authors

Peng Guo, Dakota State UniversityFollow
Vladimir Gasparyan, California State University, Channel IslandsFollow
Antonio Perez-Garrido, Universidad Politécnica de CartagenaFollow
Ester Jodar-Ferrandez, Universidad Politécnica de CartagenaFollow

Document Type

Article

Publication Date

Fall 9-15-2025

Abstract

We obtain a closed-form expression for the energy spectrum of 𝒫⁢𝒯-symmetric superlattice systems with complex potentials of periodic sets of two 𝛿potentials in the elementary cell. In the presence of periodic gain and loss, we analyzed in detail a diatomic crystal model, varying either the scatterer distances or the potential heights. It is shown that at a certain critical value of the imaginary part of the complex amplitude, topological states depending on the lattice size and the configuration of the unit cell can be pushed out from the given region. This may happen at the 𝒫𝒯-symmetry breaking (exceptional) points.

Recommended Citation

Guo, Peng; Gasparyan, Vladimir; Perez-Garrido, Antonio; and Jodar-Ferrandez, Ester, "Characteristic determinant approach to the spectrum of one-dimensional PT-symmetric systems" (2025). Research & Publications. 47.
https://scholar.dsu.edu/anspapers/47