Magnetic ordering of nitrogen-vacancy centers in diamond via resonator-mediated coupling

TL;DR

This paper proposes a scheme to induce long-range ferromagnetic interactions among nitrogen-vacancy centers in diamond using a mechanical resonator, enabling the study of many-body physics at feasible low temperatures.

Contribution

It introduces a novel method to achieve ferromagnetic order among NV centers via resonator-mediated coupling, advancing quantum simulation capabilities.

Findings

Ferromagnetic order can be achieved at tens of millikelvin for ~10^4 NV centers.

Long-range Ising interactions are realizable with mechanical resonators.

The approach enables studying many-body physics with qubit systems.

Abstract

Nitrogen-vacancy centers in diamond, being a promising candidate for quantum information processing, may also be an ideal platform for simulating many-body physics. However, it is difficult to realize interactions between nitrogen-vacancy centers strong enough to form a macroscopically ordered phase under realistic temperatures. Here we propose a scheme to realize long-range ferromagnetic Ising interactions between distant nitrogen-vacancy centers by using a mechanical resonator as a medium. Since the critical temperature in the long-range Ising model is proportional to the number of spins, a ferromagnetic order can be formed at a temperature of tens of millikelvin for a sample with $\sim10^4$ nitrogen-vacancy centers. This method may provide a new platform for studying many-body physics using qubit systems.