Floquet Protocols of Adiabatic State-Flips and Re-Allocation of Exceptional Points

TL;DR

This paper presents a method using Floquet protocols to reconfigure exceptional points in non-Hermitian systems, enabling controlled adiabatic state-flips and re-organization of topological features for system control.

Contribution

It introduces a novel Floquet-based approach to re-allocate exceptional points and redefine topological properties in non-Hermitian systems for improved adiabatic state control.

Findings

Re-organization of exceptional points via Floquet modulation.

Controlled adiabatic transfer between eigenmodes.

Potential applications in photonics and microwave systems.

Abstract

We introduce the notion of adiabatic state-flip of a Floquet Hamiltonian associated with a non-Hermitian system that it is subjected to two driving schemes with clear separation of time scales. The fast (Floquet) modulation scheme is utilized to re-allocate the exceptional points in the parameter space of the system and re-define the topological features of an adiabatic cyclic modulation associated with the slow driving scheme. Such topological re-organization can be used in order to control the adiabatic transport between two eigenmodes of the Floquet Hamiltonian. The proposed scheme provides a degree of reconfigurability of adiabatic state transfer which can find applications in system control in photonics and microwave domains.