# Extended range of dipole-dipole interactions in periodically structured photonic media

## TL;DR

This paper demonstrates that structured photonic media can significantly extend the range of dipole-dipole interactions between quantum systems, enabling long-range quantum effects through the manipulation of isosurfaces.

## Contribution

It introduces a general relation linking interaction range to isosurface properties in structured photonic media, revealing a new method for mediating long-range quantum interactions.

## Key findings

- Extended interaction range is robust and independent of dipole orientation.
- Diminishing momentum isosurfaces enable long-range quantum interactions.
- A general relation between isosurface properties and interaction range is established.

## Abstract

The interaction between quantum two-level systems is typically short-range in free space and most photonic environments. Here we show that diminishing momentum isosurfaces with equal frequencies can create a significantly extended range of interaction between distant quantum systems. The extended range is robust and does not rely on a specific location or orientation of the transition dipoles. A general relation between the interaction range and properties of the isosurface is described for structured photonic media. It provides a new way to mediate long-range quantum behavior.