EPJ Quantum Technol. (2015) 2: 18
https://doi.org/10.1140/epjqt/s40507-015-0032-2

Letter

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

¹ Department of Physics, The Chinese University of Hong Kong, Hong Kong, China
² Centre for Quantum Coherence, The Chinese University of Hong Kong, Hong Kong, China
³ 3rd Institute of Physics and Research Center SCOPE, University Stuttgart, Stuttgart, 70569, Germany
⁴ Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong, China
⁵ Shenzhen Research Insitute, The Chinese University of Hong Kong, Shenzhen, Guangdong, 518057, China

^* e-mail: rbliu@phy.cuhk.edu.hk

Received: 6 March 2015
Accepted: 9 July 2015
Published online: 21 July 2015

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 ∼10⁴ nitrogen-vacancy centers. This method may provide a new platform for studying many-body physics using qubit systems.