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Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator.

Ovartchaiyapong P, Lee KW, Myers BA, Jayich AC - Nat Commun (2014)

Bottom Line: However, the nitrogen-vacancy spin-strain interaction has not been well characterized.Here, we demonstrate dynamic, strain-mediated coupling of the mechanical motion of a diamond cantilever to the spin of an embedded nitrogen-vacancy centre.Finally, we show how this spin-resonator system could enable coherent spin-phonon interactions in the quantum regime.

View Article: PubMed Central - PubMed

Affiliation: 1] Department of Physics, University of California Santa Barbara, Broida Hall, Santa Barbara, California 93106, USA [2].

ABSTRACT
The development of hybrid quantum systems is central to the advancement of emerging quantum technologies, including quantum information science and quantum-assisted sensing. The recent demonstration of high-quality single-crystal diamond resonators has led to significant interest in a hybrid system consisting of nitrogen-vacancy centre spins that interact with the resonant phonon modes of a macroscopic mechanical resonator through crystal strain. However, the nitrogen-vacancy spin-strain interaction has not been well characterized. Here, we demonstrate dynamic, strain-mediated coupling of the mechanical motion of a diamond cantilever to the spin of an embedded nitrogen-vacancy centre. Via quantum control of the spin, we quantitatively characterize the axial and transverse strain sensitivities of the nitrogen-vacancy ground-state spin. The nitrogen-vacancy centre is an atomic scale sensor and we demonstrate spin-based strain imaging with a strain sensitivity of 3 × 10(-6) strain Hz(-1/2). Finally, we show how this spin-resonator system could enable coherent spin-phonon interactions in the quantum regime.

No MeSH data available.


Related in: MedlinePlus

Single-spin strain imaging.(a) Stress profile for cantilever used in this experiment at 250 nm of beam deflection using a finite element method simulation. (b) Measured strain coupling (orange circles) as a function of the NV’s distance from the cantilever base for a fixed 250 nm oscillation amplitude. The grey shaded area shows the region of expected strain couplings from theory including uncertainties in NV depth (13 nm) and amplitude of driven motion (10 nm). Vertical error bars correspond to the standard error from fits to the expected control sequence signal. Horizontal error bars correspond to the uncertainty in the NV’s lateral position.
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f3: Single-spin strain imaging.(a) Stress profile for cantilever used in this experiment at 250 nm of beam deflection using a finite element method simulation. (b) Measured strain coupling (orange circles) as a function of the NV’s distance from the cantilever base for a fixed 250 nm oscillation amplitude. The grey shaded area shows the region of expected strain couplings from theory including uncertainties in NV depth (13 nm) and amplitude of driven motion (10 nm). Vertical error bars correspond to the standard error from fits to the expected control sequence signal. Horizontal error bars correspond to the uncertainty in the NV’s lateral position.

Mentions: With its atom-sized spatial extent, the NV is a novel, nanoscale strain sensor. We demonstrate NV-based strain imaging by measuring G‖ for several NVs located at different positions along the length of the cantilever (Supplementary Fig. 2). In Fig. 3a, we show the simulated strain profile of a cantilever under pure bending. Figure 3b shows the measured strain couplings for several NVs along the cantilever for a fixed drive. The data are in good agreement with the theoretical strain profile, shown by the shaded region in Fig. 3b (Supplementary Note 3). Notably, this agreement provides convincing evidence that strain is responsible for the spin evolution. From the data in Fig. 3b, we can extract d‖ by combining the interferometrically measured amplitude of motion, the NV’s position and orientation in the cantilever, and the expected strain profile of the cantilever (Supplementary Note 4). By measuring several NVs, we average over the variations in NV depth and local strain inhomogeneities, and we find an average value of d‖=13.4±0.8 GHz per strain, and hence calibrate our strain sensor. Given our current experimental parameters, we estimate an axial strain sensitivity of approximately 3 × 10−6 strain Hz−1/2 (Supplementary Note 5). For the cantilevers in this experiment, an NV at the base could then detect ~7 nm of motion in a 1 sec measurement.


Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator.

Ovartchaiyapong P, Lee KW, Myers BA, Jayich AC - Nat Commun (2014)

Single-spin strain imaging.(a) Stress profile for cantilever used in this experiment at 250 nm of beam deflection using a finite element method simulation. (b) Measured strain coupling (orange circles) as a function of the NV’s distance from the cantilever base for a fixed 250 nm oscillation amplitude. The grey shaded area shows the region of expected strain couplings from theory including uncertainties in NV depth (13 nm) and amplitude of driven motion (10 nm). Vertical error bars correspond to the standard error from fits to the expected control sequence signal. Horizontal error bars correspond to the uncertainty in the NV’s lateral position.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4109012&req=5

f3: Single-spin strain imaging.(a) Stress profile for cantilever used in this experiment at 250 nm of beam deflection using a finite element method simulation. (b) Measured strain coupling (orange circles) as a function of the NV’s distance from the cantilever base for a fixed 250 nm oscillation amplitude. The grey shaded area shows the region of expected strain couplings from theory including uncertainties in NV depth (13 nm) and amplitude of driven motion (10 nm). Vertical error bars correspond to the standard error from fits to the expected control sequence signal. Horizontal error bars correspond to the uncertainty in the NV’s lateral position.
Mentions: With its atom-sized spatial extent, the NV is a novel, nanoscale strain sensor. We demonstrate NV-based strain imaging by measuring G‖ for several NVs located at different positions along the length of the cantilever (Supplementary Fig. 2). In Fig. 3a, we show the simulated strain profile of a cantilever under pure bending. Figure 3b shows the measured strain couplings for several NVs along the cantilever for a fixed drive. The data are in good agreement with the theoretical strain profile, shown by the shaded region in Fig. 3b (Supplementary Note 3). Notably, this agreement provides convincing evidence that strain is responsible for the spin evolution. From the data in Fig. 3b, we can extract d‖ by combining the interferometrically measured amplitude of motion, the NV’s position and orientation in the cantilever, and the expected strain profile of the cantilever (Supplementary Note 4). By measuring several NVs, we average over the variations in NV depth and local strain inhomogeneities, and we find an average value of d‖=13.4±0.8 GHz per strain, and hence calibrate our strain sensor. Given our current experimental parameters, we estimate an axial strain sensitivity of approximately 3 × 10−6 strain Hz−1/2 (Supplementary Note 5). For the cantilevers in this experiment, an NV at the base could then detect ~7 nm of motion in a 1 sec measurement.

Bottom Line: However, the nitrogen-vacancy spin-strain interaction has not been well characterized.Here, we demonstrate dynamic, strain-mediated coupling of the mechanical motion of a diamond cantilever to the spin of an embedded nitrogen-vacancy centre.Finally, we show how this spin-resonator system could enable coherent spin-phonon interactions in the quantum regime.

View Article: PubMed Central - PubMed

Affiliation: 1] Department of Physics, University of California Santa Barbara, Broida Hall, Santa Barbara, California 93106, USA [2].

ABSTRACT
The development of hybrid quantum systems is central to the advancement of emerging quantum technologies, including quantum information science and quantum-assisted sensing. The recent demonstration of high-quality single-crystal diamond resonators has led to significant interest in a hybrid system consisting of nitrogen-vacancy centre spins that interact with the resonant phonon modes of a macroscopic mechanical resonator through crystal strain. However, the nitrogen-vacancy spin-strain interaction has not been well characterized. Here, we demonstrate dynamic, strain-mediated coupling of the mechanical motion of a diamond cantilever to the spin of an embedded nitrogen-vacancy centre. Via quantum control of the spin, we quantitatively characterize the axial and transverse strain sensitivities of the nitrogen-vacancy ground-state spin. The nitrogen-vacancy centre is an atomic scale sensor and we demonstrate spin-based strain imaging with a strain sensitivity of 3 × 10(-6) strain Hz(-1/2). Finally, we show how this spin-resonator system could enable coherent spin-phonon interactions in the quantum regime.

No MeSH data available.


Related in: MedlinePlus