Unveiling the Self-Orthogonality at Exceptional Points in Driven $\mathcal{PT}$-Symmetric Systems

TL;DR

This paper investigates the phenomenon of self-orthogonality at exceptional points in driven PT-symmetric systems, revealing how eigenstate coalescence leads to diverging Rabi frequencies and observable power oscillations, advancing experimental probing of EP physics.

Contribution

It introduces a driven three-band lattice model to connect self-orthogonality at EPs with measurable power oscillations, providing new insights into EP phenomena in non-Hermitian systems.

Findings

Rabi frequency diverges near EPs due to eigenstate coalescence

Power oscillations serve as observable signatures of self-orthogonality

The results enable experimental exploration of EP physics in metamaterials

Abstract

We explore the effect of self-orthogonality at exceptional points (EPs) in non-Hermitian Parity-Time-symmetric systems. Using a driven three-band lattice model, we show that the Rabi frequency diverges as the system approaches an EP due to the coalescence of eigenstates. We demonstrate that this divergence manifests in experimentally accessible power oscillations, establishing a direct observable for self-orthogonality. Our results provide a pathway for probing EP physics in various metamaterial platforms.