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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

Measurement of transverse strain.(a) Stress profile for a cantilever during bending (red arrows). The face of the cantilever (gold square) corresponds to the (110) plane. NVs oriented along [] and [] (red bonds) experience mostly transverse strain, with a small axial strain because of the Poisson effect25. NVs oriented along [111] and [] (green bonds) experience predominantly axial strain (see Supplementary Information). Measurements of transverse strain are done with NVs oriented [] and []. (b) XY-4 pulse sequence used to measure transverse strain. Transverse strain (in blue) modulates the qubit splitting approximately twice as fast as axial strain (in red). (c) XY-4 spin population (see Supplementary Information) for an NV (yellow circles) 3 μm from the base with a beam deflection of 675 nm. The expected XY-4 signal for a model considering both axial and transverse strain is shown in black. Error bars correspond to photon counting noise.
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f4: Measurement of transverse strain.(a) Stress profile for a cantilever during bending (red arrows). The face of the cantilever (gold square) corresponds to the (110) plane. NVs oriented along [] and [] (red bonds) experience mostly transverse strain, with a small axial strain because of the Poisson effect25. NVs oriented along [111] and [] (green bonds) experience predominantly axial strain (see Supplementary Information). Measurements of transverse strain are done with NVs oriented [] and []. (b) XY-4 pulse sequence used to measure transverse strain. Transverse strain (in blue) modulates the qubit splitting approximately twice as fast as axial strain (in red). (c) XY-4 spin population (see Supplementary Information) for an NV (yellow circles) 3 μm from the base with a beam deflection of 675 nm. The expected XY-4 signal for a model considering both axial and transverse strain is shown in black. Error bars correspond to photon counting noise.

Mentions: We next measured the transverse strain coupling. To do so, we measured NVs oriented perpendicular to the cantilever stress, as shown in Fig. 4a. Although the stress is entirely perpendicular to NVs oriented [] and [] (shown with red bonds), these NVs will experience non-negligible axial strain in addition to transverse strain because of the Poisson effect25. Experimentally, the effects of axial and transverse strains are identified by beatnotes present in the spin evolution. To enhance our sensitivity to these beatnotes, we applied an XY-4 control sequence26 (Fig. 4b) to the NV and decreased Bz to 16 G. This sequence increases our sensitivity by extending the coherence time, correcting for first-order timing errors, and increasing the interrogation time. The data and fit to the expected XY-4 signal (Supplementary Note 6) in Fig. 4c give G⊥=6.7±0.4 MHz, G‖=(2.7±0.5) × 102 kHz and a cantilever frequency , in agreement with the cantilever drive frequency of 884.890 kHz. Transforming the cantilever strain tensor into the NV’s coordinate system and using the Poisson ratio of 0.069 for CVD diamond25 (Supplementary Note 4), we extract d‖=13.3±1.1 GHz per strain and d⊥=21.5±1.2 GHz per strain. The extracted value of d‖ is in very good agreement with the extracted value of d‖ measured for the NVs experiencing predominantly axial strain in Fig. 3.


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

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

Measurement of transverse strain.(a) Stress profile for a cantilever during bending (red arrows). The face of the cantilever (gold square) corresponds to the (110) plane. NVs oriented along [] and [] (red bonds) experience mostly transverse strain, with a small axial strain because of the Poisson effect25. NVs oriented along [111] and [] (green bonds) experience predominantly axial strain (see Supplementary Information). Measurements of transverse strain are done with NVs oriented [] and []. (b) XY-4 pulse sequence used to measure transverse strain. Transverse strain (in blue) modulates the qubit splitting approximately twice as fast as axial strain (in red). (c) XY-4 spin population (see Supplementary Information) for an NV (yellow circles) 3 μm from the base with a beam deflection of 675 nm. The expected XY-4 signal for a model considering both axial and transverse strain is shown in black. Error bars correspond to photon counting noise.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f4: Measurement of transverse strain.(a) Stress profile for a cantilever during bending (red arrows). The face of the cantilever (gold square) corresponds to the (110) plane. NVs oriented along [] and [] (red bonds) experience mostly transverse strain, with a small axial strain because of the Poisson effect25. NVs oriented along [111] and [] (green bonds) experience predominantly axial strain (see Supplementary Information). Measurements of transverse strain are done with NVs oriented [] and []. (b) XY-4 pulse sequence used to measure transverse strain. Transverse strain (in blue) modulates the qubit splitting approximately twice as fast as axial strain (in red). (c) XY-4 spin population (see Supplementary Information) for an NV (yellow circles) 3 μm from the base with a beam deflection of 675 nm. The expected XY-4 signal for a model considering both axial and transverse strain is shown in black. Error bars correspond to photon counting noise.
Mentions: We next measured the transverse strain coupling. To do so, we measured NVs oriented perpendicular to the cantilever stress, as shown in Fig. 4a. Although the stress is entirely perpendicular to NVs oriented [] and [] (shown with red bonds), these NVs will experience non-negligible axial strain in addition to transverse strain because of the Poisson effect25. Experimentally, the effects of axial and transverse strains are identified by beatnotes present in the spin evolution. To enhance our sensitivity to these beatnotes, we applied an XY-4 control sequence26 (Fig. 4b) to the NV and decreased Bz to 16 G. This sequence increases our sensitivity by extending the coherence time, correcting for first-order timing errors, and increasing the interrogation time. The data and fit to the expected XY-4 signal (Supplementary Note 6) in Fig. 4c give G⊥=6.7±0.4 MHz, G‖=(2.7±0.5) × 102 kHz and a cantilever frequency , in agreement with the cantilever drive frequency of 884.890 kHz. Transforming the cantilever strain tensor into the NV’s coordinate system and using the Poisson ratio of 0.069 for CVD diamond25 (Supplementary Note 4), we extract d‖=13.3±1.1 GHz per strain and d⊥=21.5±1.2 GHz per strain. The extracted value of d‖ is in very good agreement with the extracted value of d‖ measured for the NVs experiencing predominantly axial strain in Fig. 3.

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