Near-Field Sensing of Microwave Magnetic Field Phase Difference Enabled by N - V -Center Spins

Abstract

Sensing microwave (MW) fields through a quantum protocol has attracted increasing interest, and the phase of MW fields is an essential parameter in communication and quantum technologies. This work proposes a quantum-effect-based method for measuring the phase difference of MW magnetic fields under near-field conditions based on the selective transitions of nitrogen-vacancy- ($\mathrm{N}$-V) center spins in diamond. First, the relationship between the evolutions of the $\mathrm{N}$-V-center spin states and the phase difference of the MW magnetic fields, which are resonant and able to drive the transitions of the $\mathrm{N}$-V-center spins between ground-state energy levels, is deduced. Then, using a double-microstrip-line MW antenna, the variations in the Rabi frequency and maximum contrast as a function of the phase difference are experimentally revealed. Finally, the measurement of the phase difference is validated, and the sensitivity of the proof-of-principle method is estimated to be ${0.0915}^{\ensuremath{\circ}}/\sqrt{\text{Hz}}$. This method paves the way for the comprehensive quantum sensing of MW fields and has potential applications in the communication and quantum information fields.