Ultra-sensitive magnetic sensor based on 3-dimensional rotation induced Berry phase

TL;DR

This paper introduces a novel magnetic sensing method utilizing the Berry phase induced by 3D rotation of levitated diamonds with NV centers, enabling highly sensitive DC magnetic field detection.

Contribution

It proposes a new approach for DC magnetic field measurement based on Berry phase from 3D rotation, expanding the capabilities of NV center-based sensors.

Findings

Berry phase shows high sensitivity near nuclear spin resonance

Theoretical sensitivity can reach 10^(-7) T/Hz^(1/2)/N^(1/2)

Method enables direct DC magnetic field measurement

Abstract

High-sensitivity magnetometers play a crucial role in various domains, including fundamental physics, biomedical imaging, and navigation. Levitated diamonds containing nitrogen-vacancy (NV) centers exhibit significant potential for magnetic sensing due to their high mechanical quality (Q) factor and long spin coherence time. However, previous studies have predominantly focused on electron spin-based measurements of alternating current (AC) magnetic fields. In this letter, we propose a novel approach for direct current (DC) magnetic field measurement based on the Berry phase generated by three-dimensional rotation. We analyze the adiabatic evolution of the 14N nuclear spin inside a levitated 3D rotating diamond with frequencies around MHz. Our finding reveals that the Berry phase exhibits high sensitivity to external parameters near rotation induced nuclear spin resonance. Using this mechanism, we theoretically demonstrate that the static magnetic field sensitivity can reach 10^(-7) T/Hz^(1/2)/N^(1/2) for 14N nuclear spins under the current experimental conditions.