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arXiv:1402.4789 · New Journal of Physics

Measuring the defect structure orientation of a single NV− centre in diamond

M W Doherty, J Michl, Florian Dolde, I Jakobi, P Neumann, N B Manson, J Wrachtrup

Published Jun 30, 2014• 77 citations
arXivHTMLPDF

Abstract

The negatively charged nitrogen-vacancy ( ) centre in diamond has many exciting applications in quantum nano-metrology, including magnetometry, electrometry, thermometry and piezometry. Indeed, it is possible for a single centre to measure the complete three-dimensional vector of the local electric field or the position of a single fundamental charge in ambient conditions. However, in order to achieve such vector measurements, near complete knowledge of the orientation of the centreʼs defect structure is required. Here, we demonstrate an optically detected magnetic resonance (ODMR) technique employing rotations of static electric and magnetic fields that precisely determines the orientation of the centreʼs major and minor trigonal symmetry axes. Thus, our technique is an enabler of the centreʼs existing vector sensing applications and also motivates new applications in multi-axis rotation sensing, NV growth characterization and diamond crystallography.

DOI
10.1088/1367-2630/16/6/063067

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The negatively charged nitrogen-vacancy ( ) centre in diamond has many exciting applications in quantum nano-metrology, including magnetometry, electrometry, thermometry and piezometry. Indeed, it is possible for a single centre to measure the complete three-dimensional vector of the local electric field or the position of a single fundamental charge in ambient conditions. However, in order to achieve such vector measurements, near complete knowledge of the orientation of the centreʼs defect structure is required. Here, we demonstrate an optically detected magnetic resonance (ODMR) technique employing rotations of static electric and magnetic fields that precisely determines the orientation of the centreʼs major and minor trigonal symmetry axes. Thus, our technique is an enabler of the centreʼs existing vector sensing applications and also motivates new applications in multi-axis rotation sensing, NV growth characterization and diamond crystallography.
Nitrogen-vacancy (NV) centers in bulk diamond, as an excellent spin-based vector quantum sensor, require precise determination of the axis orientation information. Here, we efficiently visualize and completely determine the NV axis orientation in bulk diamond, assisted by a radially polarized beam. We observe the rotational asymmetric fluorescence pattern of NV centers in bulk diamond, which is quite different from that in nanodiamonds. Our theoretical calculations show this difference is mainly due to the fact that the ratio between the longitudinal and transverse electric field components of the focused radially polarized beam is greatly weakened in bulk diamond. This fluorescence pattern asymmetry can uniquely determine both the azimuth angle and the polar angle without degeneracy in bulk diamond. Then, we verify these theories in bulk diamond with different orientations and nanodiamonds. The experimental result is consistent with that of the traditional method by measuring a series of optically detected magnetic resonance (ODMR) spectra, and the error is less than 3.0 degrees. Our method can be easily extended to other solid-state spin systems and shows great potential in quantum sensing of vector magnetic fields and nanoscale dynamic processes.
Nitrogen-vacancy (NV) centers in a bulk diamond are often employed to realize measurement of multiple physical quantities, which depends on orientation information of NV axis. We report a fast and effective method to determine the orientation of NV axis with the aid of a static magnetic field. By measuring the optically detected magnetic resonance spectra, we can precisely extract the polar angle information between the NV axis and the known magnetic field. Combining with the polar angle information of different kinds of NV centers, we employ the Nelder–Mead algorithm to get the optimal solution of the orientation of NV axis. This method is simple and efficient, and is easily applied in NV-based quantum sensing.
Nitrogen-vacancy (NV) centers in diamond provide a solid-state platform for quantum sensing. While optically detected magnetic resonance techniques offer high sensitivity, their reliance on microwaves introduces heating and stray electromagnetic fields that can perturb nearby samples. Optical approaches based on cross-relaxation between differently oriented NV centers remove this constraint but have so far required stringent alignment of the external field with crystallographic axes, restricting their practicality. Here we introduce a general framework for microwave-free vector magnetometry at near-zero field that leverages Bayesian inference to extract both the magnetic field vector and the NV orientation directly from photoluminescence maps. An analytical model of cross-relaxation resonances enables efficient inference under arbitrary field and orientation configurations, while naturally incorporating the discrete degeneracies of the NV symmetry. We experimentally demonstrate robust orientation determination and vector-field reconstruction, establishing a general route toward compact and alignment-free NV magnetometers for practical sensing applications.
Determination and control of nitrogen-vacancy (NV) centers play an important role in sensing the vector field by using their quantum information. To measure orientation of NV centers in a diamond particle attached to a tapered fiber rapidly, we propose a new method to establish the direction cosine matrix between the lab frame and the NV body frame. In this method, only four groups of the ODMR spectrum peaks shift data need to be collected, and the magnetic field along ± Z and ± Y in the lab frame is applied in the meantime. We can also control any NV axis to rotate to the X, Y, Z axes in the lab frame according to the elements of this matrix. The demonstration of the DC and microwave magnetic field vector sensing is presented. Finally, the proposed method can help us to perform vector magnetic field sensing more conveniently and rapidly.
A nanodiamond embedding a single nitrogen-vacancy (NV) center has outstanding optical properties since it is readily manipulated and coupled with nanophotonic devices. Reliable methods to identify the orientation of an NV axis on photonic platforms are important to precisely estimate the coupling efficiency between them. We report on a method to identify the orientation of an NV axis. The proposed method consists of a single dataset of optically detected magnetic resonance (ODMR) measurements taken while rotating the magnetic field in a plane and a single ODMR measurement taken while applying the magnetic field in a single direction. By applying this method to a nanodiamond with a single NV center on a microscope coverslip, the orientation of the NV center is determined to be (θNV, ϕNV)=(144.6°, 52.9°) when the magnetic field is scanned in the xy-plane. When the magnetic field is scanned in the xz-plane, it is determined to be (θNV, ϕNV)=(148.0°, 45.7°) which is consistent within 5.2°. This technique will advance progress toward realizing photon-based quantum networks and quantum communication.
Individual, scannable nitrogen vacancy (NV) centers in single crystal diamond nanostructures enable nanoscale, quantitative imaging of magnetic stray fields. Nevertheless, important parameters like distance between the NV center and the sample and the orientation of the NV high symmetry axis are often not known precisely and enter data evaluation as free fitting parameters. We here use scanning NV imaging on micro-patterned, perpendicularly magnetized stripes and discs. From these measurements, we directly infer NV - sample distance d_NV and the NV's azimuthal orientation without the need for an external vector magnet control. We determine d_NV = 31.5 nm, while we infer the azimuthal orientation with a precision of 3°. We additionally employ commercially available silicon needles to image the apex topography of our diamond nanostructures to detect surface contamination. Simultaneously, monitoring NV fluorescence as a function of the needle's position allows us to estimate the lateral placement of the NV inside the diamond nanostructure.