Impact of cut-off frequency effect on resonance energy transfer and Casimir-Polder interaction

TL;DR

This paper explores how the cut-off frequency influences resonance energy transfer and Casimir-Polder interactions in cylindrical systems, revealing suppression or enhancement effects depending on the environment and atom placement.

Contribution

It introduces a Green's function approach to analyze the impact of cut-off frequency on RET and CP interactions in cylindrical geometries, highlighting environment-dependent effects.

Findings

RET rate suppressed along the axis with PRW

RET rate enhanced within DBR in the far zone

RET rate inhibited near silicon fiber surface

Abstract

Using the Green's function approach, we investigate the resonance energy transfer (RET) rate between two parallel, identical two-level atoms in the presence of three types of cylindrical system: a distributed Bragg reflector (DBR), a perfectly reflecting wall (PRW), and a two-layer silicon fiber. Our analysis, incorporating the cut-off frequency condition, reveals significant suppression of the RET rate for atoms positioned along the axis of the cylinder with the PRW. In contrast, for atoms located within the DBR, the RET rate is enhanced in the far zone. Additionally, we find that for atoms oriented radially are placed inside or near the surface of the silicon fiber, the RET rate is entirely inhibited. We also investigate the Casimir-Polder (CP) interaction between a cut-off-frequency DBR and an excited atom, discovering a fully attractive potential towards the surface for the atom within the waveguide.