# A unified ab initio theory of spin-phonon relaxation and decoherence uncovers fast dephasing in magnetic molecules

## TL;DR

The paper explains how phonons cause rapid dephasing in magnetic molecules, despite slow magnetic relaxation.

## Contribution

A new ab initio theory of spin-phonon interactions is developed, revealing fast dephasing in magnetic systems.

## Key findings

- Strong axial magnetic anisotropy leads to slow magnetic relaxation at 77 K.
- Two-phonon processes cause rapid dephasing of Kramers doublets within 10 nanoseconds.
- The theory applies to any quantum system interacting with phonon thermal baths.

## Abstract

Spin-phonon interactions are known to drive magnetic relaxation in solid-state systems but are generally overlooked as a contribution to spin decoherence through dephasing. Here, we extend quantum master equations to account for coherence terms and describe the full effect of up to two-phonon processes on spin dynamics. We implement this method fully ab initio for a molecule with large magnetization blocking temperature and show that, although strong axial magnetic anisotropy ensures slow magnetic relaxation approaching seconds at 77 kelvins, the superposition of Kramers doublets is coherent for less than 10 nanoseconds due to a two-phonon pure dephasing mechanism. This process, in principle, applies to any quantum system interacting with a thermal bath of phonons, advancing our understanding of quantum decoherence in solid-state systems.

Phonons induce fast dephasing in magnetic molecules.