# Dynamical Properties of Plasmon Polaritons in Nanorings Driven by Cassini-Ordered Emitters

## TL;DR

The paper explores how plasmon polaritons behave in nanoring structures with quantum emitters arranged in a special pattern, which could lead to new ways of amplifying terahertz light.

## Contribution

The study introduces a novel arrangement of quantum emitters in nanorings based on the Cassini–Bernoulli lemniscate to enhance optical field intensity and quantum correlations.

## Key findings

- Optical field intensity is significantly enhanced near the intersection of the Cassini–Bernoulli lemniscate branches.
- Quantum correlations in the emitter subsystem are amplified in high-density regions of the nanoring gaps.
- The setup allows for potential coherent amplification of terahertz plasmon polaritons via embedded quantum emitters.

## Abstract

The dynamics of plasmon polaritons (PPs) in a periodic lattice of dispersed nanorings (NRs) with embedded quantum nanoemitters (NEs) arranged according to the Cassini–Bernoulli lemniscate (LB) is studied. The field structure and the dynamics of the NE (quantum polarization) depend significantly on the plasma frequency ωp of the NR. We show that in the vicinity of the intersection of the LB branches (a region of high emitter density) located in the nanoring gaps, there is a significant enhancement of the optical field intensity and quantum correlations in the emitter subsystem. This effect may allow the coherent amplification of terahertz PPs (studied recently via free-electron-stimulated emission) in a lattice of NRs with the emission of embedded NEs.