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Instruments and Experimental Techniques

ДВУХЧАСТОТНЫЙ РЕЗОНАТОР ДЛЯ ВОЗБУЖДЕНИЯ СВЕРХТОНКИХ ПЕРЕХОДОВ В АЗОТНО-ВАКАНСИОННОМ ЦЕНТРЕ ОКРАСКИ В АЛМАЗЕ

Vladimir V. Soshenko, И. С. Кожокару, Stepan V. Bolshedvorskii, Olga R. Rubinas, А. М. Козодаев, С. М. Дрофа, P. G. Vilyuzhanina, Е. А. Примак, Andrey N. Smolyaninov, Alexey V. Akimov

Published Jul 1, 2023• 0 citations
Publisher

Abstract

The results of the development of a two-frequency resonator operating at frequencies of 4.95 and 7.1 MHz, which correspond to the frequencies of hyperfine transitions of the ground state of a nitrogen-vacancy color center in diamond, are presented. The efficiency of the resonator has been demonstrated via observation of Rabi oscillations. With a resonator input power of 0.3 W, the amplitude of the alternating magnetic field was 1.6 and 1 mT for field frequencies of 4.95 and 7.1 MHz, respectively.

DOI
10.31857/s0032816223030138

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Ensemble de centres azote-lacune dans le diamant pour l'analyse de signaux radiofréquences

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The nitrogen-vacancy center (NV) is a diamond spin defect consisting of a nitrogen atom and a carbon vacancy in two adjacent positions of the diamond lattice. Its remarkable spin-dependent optical properties make it a promising platform for quantum sensing and quantum information applications.In the present manuscript, two applications involving an ensemble of NV centers in diamond are investigated: a radio frequency (RF) spectrum analyser and a widefield imaging technique of the RF radiation emitted in near field by microwave devices.In the first chapter, the NV centers in diamond, their properties and the motivations behind the two NV centers based applications proposed in this manuscript are presented. The available solutions and the state-of-the-art techniques for both RF spectral analysis and near field imaging of RF radiation are reviewed and the potential of alternative solutions using NV centres are discussed.In the second chapter, a set-up for the widefield optical detection of the NV centers spin resonances is presented and used to investigate the main properties of this diamond defect. The NV center electron spin resonances are detected over a large frequency range (more than 10 GHz) and different phenomena are investigated: the behaviour of an ensemble of NV centers under a static magnetic field, the polarization properties of the NV center photoluminescence (PL) and how they can be exploited to recognise the NV centers orientations, the NV’s nitrogen nuclear spin polarization over a large frequency range (more than 2 GHz).The third chapter is devoted to the implementation of a real-time RF spectrum analyser based on an ensemble of NV centers. The main physical features of NV centers considered as MW detectors are investigated and an experimental architecture which allows a real time RF spectral analysis over a tuneable frequency range (10 MHz to 25 GHz), 4 GHz bandwidth, a MHz frequency resolution and a ms time resolution is demonstrated. The implementation of this device required an interesting analysis on the behaviour of an ensemble of NV centers under strong magnetic field gradient (tens of Tesla per meter) which is detailed in the chapter.The fourth and last chapter deals with the widefield imaging of RF field based on an ensemble of NV centers. Two techniques are proposed. The first is based on the RF power broadening of the NV center spin resonances in the continuous regime domain while the second is based on the widefield detection of NV centers Rabi oscillations in a pulsed regime. Both techniques allowed reconstructing the magnetic near field RF field emitted by a loop antenna. However, while the first technique requires a calibration to retrieve the amplitude of the RF field, the second allows a direct measurement of it. The widefield detection of the NV centers Rabi oscillations has thus been investigated both by means of experiments and simulations. Since the NV centers Rabi oscillations detected using our widefield experimental set-up showed an asymmetric shape, a model has been realized to figure out the NV centers behaviour during the pulse sequence employed to drive the Rabi oscillation. The results of the simulations, in agreement with the experimental results, enable to have a better insight of the NV center spin optical polarization and readout during the widefield detection of the Rabi oscillations.

•Dec 15, 2021•0 citations
The results of the development of a two-frequency resonator operating at frequencies of 4.95 and 7.1 MHz, which correspond to the frequencies of hyperfine transitions of the ground state of a nitrogen-vacancy color center in diamond, are presented. The efficiency of the resonator has been demonstrated via observation of Rabi oscillations. With a resonator input power of 0.3 W, the amplitude of the alternating magnetic field was 1.6 and 1 mT for field frequencies of 4.95 and 7.1 MHz, respectively.
Abstract The results of the development of a two-frequency resonator operating at frequencies of 4.95 and 7.1 MHz, which correspond to the frequencies of hyperfine transitions of the ground state of a nitrogen-vacancy color center in diamond, are presented. The efficiency of the resonator has been demonstrated via observation of Rabi oscillations. With a resonator input power of 0.3 W, the amplitude of the alternating magnetic field was 1.6 and 1 mT for field frequencies of 4.95 and 7.1 MHz, respectively.
We present results of our research on two-field (two-frequency) microwave spectroscopy in nitrogen-vacancy ($\mathrm{N}{\mathrm{V}}^{\ensuremath{-}}$) color centers in a diamond. Both fields are tuned to transitions between the spin sublevels of the $\mathrm{N}{\mathrm{V}}^{\ensuremath{-}}$ ensemble in the 3A2{}^{3}{A}_{2}3A2​ ground state (one field has a fixed frequency while the second one is scanned). Particular attention is focused on the case where two microwave fields drive the same transition between two $\mathrm{N}{\mathrm{V}}^{\ensuremath{-}}$ ground state sublevels (${m}_{\mathrm{s}}=0\ensuremath{\leftrightarrow}{m}_{\mathrm{s}}=+1$). In this case, the observed spectra exhibit a complex narrow structure composed of three Lorentzian resonances positioned at the pump-field frequency. The resonance widths and amplitudes depend on the lifetimes of the levels involved in the transition. We attribute the spectra to coherent population oscillations induced by the two nearly degenerate microwave fields, which we have also observed in real time. The observations agree well with a theoretical model and can be useful for investigation of the NV relaxation mechanisms.
The nitrogen-vacancy (NV) color center in diamond has found applications in magnetometry across various geometrical scales. In particular, vector magnetometry using hand-held devices with low power consumption is of interest for mobile and geological applications. However, such a device requires efficient driving of the four different orientations of the NV center, thus placing demands on a broadband microwave resonator that provides a uniform and highly insensitive microwave magnetic field at the resonance frequencies of the NV centers. Here, we propose a unique planar resonator design that enables efficient driving of all four orientations of NV color centers over a 100 MHz range with only 0.5 W of microwave input power and 250 mW of laser power, allowing vector magnetic field measurements. Using the planar resonator to drive NV centers in diamond, a compact vector magnetometer was fabricated and experimentally studied. The sensitivity of the device is about 1.2 nT/Hz  {1.2\text{ nT}}/{\sqrt{\text{Hz}}}\;1.2 nT/Hz​. While this is not a record sensitivity for diamond-based magnetometers, this device occupies its own niche as a compact hand-held magnetometer.
Nitrogen-Vacancy (NV) centers in diamond are attractive tools for sensing and quantum information. Realization of this potential requires effective tools for controlling the spin degree of freedom by microwave (mw) magnetic fields. In this work, we present a planar microwave resonator optimized for microwave-optical double resonance experiments on single NV centers in diamond. It consists of a piece of wide microstrip line, which is symmetrically connected to two 50 Ω microstrip feed lines. In the center of the resonator, an Ω-shaped loop focuses the current and the mw magnetic field. It generates a relatively homogeneous magnetic field over a volume of 0.07 × 0.1 mm3. It can be operated at 2.9 GHz in both transmission and reflection modes with bandwidths of 1000 and 400 MHz, respectively. The high power-to-magnetic field conversion efficiency allows us to produce π-pulses with a duration of 50 ns with only about 200 and 50 mW microwave power in transmission and reflection, respectively. The transmission mode also offers capability for efficient radio frequency excitation. The resonance frequency can be tuned between 1.3 and 6 GHz by adjusting the length of the resonator. This will be useful for experiments on NV-centers at higher external magnetic fields and on different types of optically active spin centers.
We have realized a compact radiofrequency spectrum analyzer based on nitrogen-vacancy (NV) color centers in diamond. The RF spectral components are spatially encoded by means of a Zeeman shift of the NV resonances induced by a magnetic field gradient. The fluorescence of the NV centers is imaged on a CMOS detector array using a gradient index lens. The spectral components of the signal are revealed by the appearance of dark lines in the image. We observed frequencies up to 10 GHz, with a resolution of a few MHz and a RF sensitivity of the order of 100 µW.
The nitrogen-vacancy center (NV) is a diamond spin defect consisting of a nitrogen atom and a carbon vacancy in two adjacent positions of the diamond lattice. Its remarkable spin-dependent optical properties make it a promising platform for quantum sensing and quantum information applications.In the present manuscript, two applications involving an ensemble of NV centers in diamond are investigated: a radio frequency (RF) spectrum analyser and a widefield imaging technique of the RF radiation emitted in near field by microwave devices.In the first chapter, the NV centers in diamond, their properties and the motivations behind the two NV centers based applications proposed in this manuscript are presented. The available solutions and the state-of-the-art techniques for both RF spectral analysis and near field imaging of RF radiation are reviewed and the potential of alternative solutions using NV centres are discussed.In the second chapter, a set-up for the widefield optical detection of the NV centers spin resonances is presented and used to investigate the main properties of this diamond defect. The NV center electron spin resonances are detected over a large frequency range (more than 10 GHz) and different phenomena are investigated: the behaviour of an ensemble of NV centers under a static magnetic field, the polarization properties of the NV center photoluminescence (PL) and how they can be exploited to recognise the NV centers orientations, the NV’s nitrogen nuclear spin polarization over a large frequency range (more than 2 GHz).The third chapter is devoted to the implementation of a real-time RF spectrum analyser based on an ensemble of NV centers. The main physical features of NV centers considered as MW detectors are investigated and an experimental architecture which allows a real time RF spectral analysis over a tuneable frequency range (10 MHz to 25 GHz), 4 GHz bandwidth, a MHz frequency resolution and a ms time resolution is demonstrated. The implementation of this device required an interesting analysis on the behaviour of an ensemble of NV centers under strong magnetic field gradient (tens of Tesla per meter) which is detailed in the chapter.The fourth and last chapter deals with the widefield imaging of RF field based on an ensemble of NV centers. Two techniques are proposed. The first is based on the RF power broadening of the NV center spin resonances in the continuous regime domain while the second is based on the widefield detection of NV centers Rabi oscillations in a pulsed regime. Both techniques allowed reconstructing the magnetic near field RF field emitted by a loop antenna. However, while the first technique requires a calibration to retrieve the amplitude of the RF field, the second allows a direct measurement of it. The widefield detection of the NV centers Rabi oscillations has thus been investigated both by means of experiments and simulations. Since the NV centers Rabi oscillations detected using our widefield experimental set-up showed an asymmetric shape, a model has been realized to figure out the NV centers behaviour during the pulse sequence employed to drive the Rabi oscillation. The results of the simulations, in agreement with the experimental results, enable to have a better insight of the NV center spin optical polarization and readout during the widefield detection of the Rabi oscillations.