Floquet topological phase in a generalized PT-symmetric lattice

Abstract

We consider a driven, non-Hermitian generalization of the Aubry-Andre-Harper (AAH) model. We show that the introduction of periodic driving allows us to obtain fully real quasienergy spectra in configurations where the corresponding static system has complex energy eigenvalues for any non-Hermitian degree. We illustrate how generalized parity-time (PT) symmetry can be applied within the Floquet formalism and show that our model's fully real quasienergy spectrum corresponds to an unbroken symmetry. This model exhibits a Floquet topological phase, few examples of have been found in non-Hermitian potentials.

10 pages, 6 figures

References in corpus (14)

• Topological characterization of periodically-driven quantum systems
• Loss-induced suppression and revival of lasing
• Edge Modes, Degeneracies, and Topological Numbers in Non-Hermitian Systems
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Topological invariance and global Berry phase in non-Hermitian systems
• Perspective on topological states of non-Hermitian lattices
• Topological phase in a non-Hermitian PT symmetric system
• Non-Hermitian Floquet topological phases: Exceptional points, coalescent edge modes, and the skin effect
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Floquet interface states in illuminated three-dimensional topological insulators
• Dynamical characterization of non-Hermitian Floquet topological phases in one-dimension
• Non-Hermitian Floquet topological phases in the double-kicked rotor
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice

Cited by in corpus (4)

• Dual topological characterization of non-Hermitian Floquet phases
• Floquet engineering of topological localization transitions and mobility edges in one-dimensional non-Hermitian quasicrystals
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Dynamics of non-Hermitian Floquet Wannier-Stark system