Control of Power in Parity-Time -Symmetric Lattices

TL;DR

This paper explores how periodically modulated PT-symmetric lattices control wave transport, revealing interference effects, power oscillations, and amplification at phase transition points through Floquet-Bloch mode interactions.

Contribution

It introduces a novel analysis of wave transport in modulated PT-symmetric lattices, highlighting the role of Floquet-Bloch modes and Rabi oscillations in power control.

Findings

Constructive interference of Floquet-Bloch modes leads to controlled oscillations.

Linear power absorption and amplification occur at the phase transition.

Power response depends on gain-loss distribution and wave intensity overlap.

Abstract

We investigate wave transport properties of Parity-Time (PT) symmetric lattices that are periodically modulated along the direction of propagation. We demonstrate that in the regime of unbroken PT-symmetry the system Floquet-Bloch modes may interfere constructively leading to either controlled oscillations or linear power absorption and amplification occurring exactly at the phase transition point. The differential power response is effected by the overlap of the gain and loss system distribution with wave intensity pattern that is formed through Rabi oscillations engaging the coupled Floquet-Bloch modes.