# Tunable and robust long-range coherent interactions between quantum emitters mediated by Weyl bound states

## TL;DR

This paper demonstrates how Weyl bound states in photonic environments enable tunable, long-range, and robust coherent interactions between quantum emitters, with potential applications in quantum information and simulation.

## Contribution

It introduces a novel photonic setup utilizing Weyl bound states to achieve coherent, long-range, and disorder-robust interactions between quantum emitters.

## Key findings

- Bound states exhibit power-law spatial confinement.
- Coherent transfer rates scale with the bound state wavefunction.
- Interactions are robust against energy disorder.

## Abstract

Long-range coherent interactions between quantum emitters are instrumental for quantum information and simulation technologies, but they are generally difficult to isolate from dissipation. Here, we show how such interactions can be obtained in photonic Weyl environments due to the emergence of an exotic bound state whose wavefunction displays power-law spatial confinement. Using an exact formalism, we show how this bound state can mediate coherent transfer of excitations between emitters, with virtually no dissipation and with a transfer rate that follows the same scaling with distance as the bound state wavefunction. In addition, we show that the topological nature of Weyl points translates into two important features of the Weyl bound state, and consequently of the interactions it mediates: first, its range can be tuned without losing the power-law confinement, and, second, they are robust under energy disorder of the bath. To our knowledge, this is the first proposal of a photonic setup that combines simultaneously coherence, tunability, long-range, and robustness to disorder. These findings could ultimately pave the way for the design of more robust long-distance entanglement protocols or quantum simulation implementations for studying long-range interacting systems.