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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

Axial strain detection with a single NV.(a) AC axial strain is detected with a Hahn echo sequence. Transverse strain is suppressed by an applied 22 G axial magnetic field. The π pulse allows the phases from the first (light grey) and second (dark grey) free evolution periods to add constructively. (b) Measured Hahn echo spin population (red circles) for an NV at the base of a cantilever with  and an oscillation amplitude of 650 nm as a function of total evolution time T=2τ. The echo signal is given by a zero-order Bessel function (fit is black solid line) because the cantilever motion is not phase-locked to the timing of the control pulses. Error bars correspond to standard error in photon counting. (c) The amplitude of cantilever motion impacts the spin evolution. Hahn echo spin population of an NV at the base of a  cantilever in the absence of drive (green triangles), with a drive corresponding to 150 nm cantilever amplitude (blue squares) and 300 nm amplitude (yellow circles). Dotted black lines are fits to the data. (d) Plotted strain coupling G‖ for an NV 11 μm from the base on the cantilever described in b as a function of beam deflection. Vertical error bars correspond to standard error of the fit to the theoretical echo signal. Horizontal error bars correspond to the uncertainty in beam deflection from interferometric measurements.
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f2: Axial strain detection with a single NV.(a) AC axial strain is detected with a Hahn echo sequence. Transverse strain is suppressed by an applied 22 G axial magnetic field. The π pulse allows the phases from the first (light grey) and second (dark grey) free evolution periods to add constructively. (b) Measured Hahn echo spin population (red circles) for an NV at the base of a cantilever with and an oscillation amplitude of 650 nm as a function of total evolution time T=2τ. The echo signal is given by a zero-order Bessel function (fit is black solid line) because the cantilever motion is not phase-locked to the timing of the control pulses. Error bars correspond to standard error in photon counting. (c) The amplitude of cantilever motion impacts the spin evolution. Hahn echo spin population of an NV at the base of a cantilever in the absence of drive (green triangles), with a drive corresponding to 150 nm cantilever amplitude (blue squares) and 300 nm amplitude (yellow circles). Dotted black lines are fits to the data. (d) Plotted strain coupling G‖ for an NV 11 μm from the base on the cantilever described in b as a function of beam deflection. Vertical error bars correspond to standard error of the fit to the theoretical echo signal. Horizontal error bars correspond to the uncertainty in beam deflection from interferometric measurements.

Mentions: Figure 2a shows the measurement protocol for axial strain detection. The cantilever is resonantly driven with a piezoelectric transducer, and the phase of the drive is not phase-locked to the timing of the control pulses. The NV spin is initialized to the state via optical pumping with a 532 nm laser. Microwaves tuned to the transition are applied to the NV to carry out a Hahn echo pulse sequence with a total free evolution time T=2τ. During the free evolution periods, the resonantly driven motion of the cantilever imprints a relative phase onto the qubit, which is then converted into a population difference and read out via the spin-dependent fluorescence. In the measurements of axial strain, Bz was set to 22 G to suppress the effects of transverse strain, as shown in equation (2).


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

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

Axial strain detection with a single NV.(a) AC axial strain is detected with a Hahn echo sequence. Transverse strain is suppressed by an applied 22 G axial magnetic field. The π pulse allows the phases from the first (light grey) and second (dark grey) free evolution periods to add constructively. (b) Measured Hahn echo spin population (red circles) for an NV at the base of a cantilever with  and an oscillation amplitude of 650 nm as a function of total evolution time T=2τ. The echo signal is given by a zero-order Bessel function (fit is black solid line) because the cantilever motion is not phase-locked to the timing of the control pulses. Error bars correspond to standard error in photon counting. (c) The amplitude of cantilever motion impacts the spin evolution. Hahn echo spin population of an NV at the base of a  cantilever in the absence of drive (green triangles), with a drive corresponding to 150 nm cantilever amplitude (blue squares) and 300 nm amplitude (yellow circles). Dotted black lines are fits to the data. (d) Plotted strain coupling G‖ for an NV 11 μm from the base on the cantilever described in b as a function of beam deflection. Vertical error bars correspond to standard error of the fit to the theoretical echo signal. Horizontal error bars correspond to the uncertainty in beam deflection from interferometric measurements.
© Copyright Policy - open-access
Related In: Results  -  Collection

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

f2: Axial strain detection with a single NV.(a) AC axial strain is detected with a Hahn echo sequence. Transverse strain is suppressed by an applied 22 G axial magnetic field. The π pulse allows the phases from the first (light grey) and second (dark grey) free evolution periods to add constructively. (b) Measured Hahn echo spin population (red circles) for an NV at the base of a cantilever with and an oscillation amplitude of 650 nm as a function of total evolution time T=2τ. The echo signal is given by a zero-order Bessel function (fit is black solid line) because the cantilever motion is not phase-locked to the timing of the control pulses. Error bars correspond to standard error in photon counting. (c) The amplitude of cantilever motion impacts the spin evolution. Hahn echo spin population of an NV at the base of a cantilever in the absence of drive (green triangles), with a drive corresponding to 150 nm cantilever amplitude (blue squares) and 300 nm amplitude (yellow circles). Dotted black lines are fits to the data. (d) Plotted strain coupling G‖ for an NV 11 μm from the base on the cantilever described in b as a function of beam deflection. Vertical error bars correspond to standard error of the fit to the theoretical echo signal. Horizontal error bars correspond to the uncertainty in beam deflection from interferometric measurements.
Mentions: Figure 2a shows the measurement protocol for axial strain detection. The cantilever is resonantly driven with a piezoelectric transducer, and the phase of the drive is not phase-locked to the timing of the control pulses. The NV spin is initialized to the state via optical pumping with a 532 nm laser. Microwaves tuned to the transition are applied to the NV to carry out a Hahn echo pulse sequence with a total free evolution time T=2τ. During the free evolution periods, the resonantly driven motion of the cantilever imprints a relative phase onto the qubit, which is then converted into a population difference and read out via the spin-dependent fluorescence. In the measurements of axial strain, Bz was set to 22 G to suppress the effects of transverse strain, as shown in equation (2).

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