Abstract

Coherent control of the nitrogen-vacancy (NV) center in diamond’s triplet spin state has traditionally been accomplished with resonant ac magnetic fields. Here, we show that high-frequency stress resonant with the spin state splitting can also coherently control NV center spins. Because this mechanical drive is parity non-conserving, controlling spins with stress enables direct access to the magnetically forbidden |1|+1 spin transition. Using a bulk-mode mechanical microresonator fabricated from single-crystal diamond, we apply intense ac stress to the diamond substrate and observe mechanically driven Rabi oscillations between the |1 and |+1 states of an NV center spin ensemble. Additionally, we measure the inhomogeneous spin dephasing time (T2*) of the spin ensemble within this {1,+1} subspace using a mechanical Ramsey sequence and compare it to the dephasing times measured with a magnetic Ramsey sequence for each of the three spin qubit combinations available within the NV center ground state. These results demonstrate coherent control of a spin with a mechanical resonator and could lead to the creation of a phase-sensitive Δ-system inside the NV center ground state with potential applications in quantum optomechanics and metrology.

© 2015 Optical Society of America

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References

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  1. O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
    [Crossref]
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    [Crossref]
  3. V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).
  4. F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
    [Crossref]
  5. E. Togan, Y. Chu, A. Imamoglu, M. D. Lukin, “Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit,” Nature 478, 497–501 (2011).
    [Crossref]
  6. C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
    [Crossref]
  7. F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
    [Crossref]
  8. E. R. MacQuarrie, T. A. Gosavi, N. R. Jungwirth, S. A. Bhave, G. D. Fuchs, “Mechanical spin control of nitrogen-vacancy centers in diamond,” Phys. Rev. Lett. 111, 227602 (2013).
    [Crossref]
  9. J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
    [Crossref]
  10. P. Ovartchaiyapong, K. W. Lee, B. A. Myers, A. C. B. Jayich, “Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator,” Nat. Commun. 5, 4429 (2014).
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    [Crossref]
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    [Crossref]
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    [Crossref]
  17. K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
    [Crossref]
  18. H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
    [Crossref]
  19. In Supplement 1, we also repeat this measurement reading out the population from the |+1〉 state and observe similar behavior.
  20. C. D. Aiello, M. Hirose, P. Cappellaro, “Composite-pulse magnetometry with a solid-state quantum sensor,” Nat. Commun. 4, 1419 (2013).
    [Crossref]
  21. W. M. Seibert, Circuits, Signals, and Systems (MIT, 1985).
  22. X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
    [Crossref]
  23. P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
    [Crossref]
  24. V. V. Dobrovitski, A. E. Feiguin, D. D. Awschalom, R. Hanson, “Decoherence dynamics of a single spin versus spin ensemble,” Phys. Rev. B 77, 245212 (2008).
    [Crossref]
  25. B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
    [Crossref]
  26. P. R. Hemmer, A. V. Turukhin, M. S. Shahriar, J. A. Musser, “Raman-excited spin coherences in nitrogen-vacancy color centers in diamond,” Opt. Lett. 26, 361–363 (2001).
    [Crossref]
  27. C. Santori, D. Fattal, S. M. Spillane, M. Fiorentino, R. G. Beausoleil, A. D. Greentree, P. Olivero, M. Draganski, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, D. N. Jamieson, S. Prawer, “Coherent population trapping in diamond N-V centers at zero magnetic field,” Opt. Express 14, 7986–7993 (2006).
    [Crossref]
  28. C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
    [Crossref]
  29. V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
    [Crossref]
  30. S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
    [Crossref]
  31. M. S. Shahriar, P. R. Hemmer, “Direct excitation of microwave-spin dressed states using a laser-excited resonance Raman interaction,” Phys. Rev. Lett. 65, 1865–1868 (1990).
    [Crossref]
  32. D. V. Kosachiov, B. G. Matisov, Y. V. Rozhdestvensky, “Coherent phenomena in multilevel systems with closed interaction contour,” J. Phys. B 25, 2473–2488 (1992).
    [Crossref]

2014 (3)

J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
[Crossref]

P. Ovartchaiyapong, K. W. Lee, B. A. Myers, A. C. B. Jayich, “Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator,” Nat. Commun. 5, 4429 (2014).

H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
[Crossref]

2013 (10)

C. D. Aiello, M. Hirose, P. Cappellaro, “Composite-pulse magnetometry with a solid-state quantum sensor,” Nat. Commun. 4, 1419 (2013).
[Crossref]

M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
[Crossref]

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
[Crossref]

K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
[Crossref]

V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

E. R. MacQuarrie, T. A. Gosavi, N. R. Jungwirth, S. A. Bhave, G. D. Fuchs, “Mechanical spin control of nitrogen-vacancy centers in diamond,” Phys. Rev. Lett. 111, 227602 (2013).
[Crossref]

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
[Crossref]

B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
[Crossref]

V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
[Crossref]

2012 (2)

M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
[Crossref]

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
[Crossref]

2011 (4)

P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
[Crossref]

E. Togan, Y. Chu, A. Imamoglu, M. D. Lukin, “Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit,” Nature 478, 497–501 (2011).
[Crossref]

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
[Crossref]

O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
[Crossref]

2010 (1)

M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
[Crossref]

2009 (1)

B. Smeltzer, J. McIntyre, L. Childress, “Robust control of individual nuclear spins in diamond,” Phys. Rev. A 80, 050302 (2009).
[Crossref]

2008 (2)

V. V. Dobrovitski, A. E. Feiguin, D. D. Awschalom, R. Hanson, “Decoherence dynamics of a single spin versus spin ensemble,” Phys. Rev. B 77, 245212 (2008).
[Crossref]

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref]

2006 (2)

C. Santori, D. Fattal, S. M. Spillane, M. Fiorentino, R. G. Beausoleil, A. D. Greentree, P. Olivero, M. Draganski, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, D. N. Jamieson, S. Prawer, “Coherent population trapping in diamond N-V centers at zero magnetic field,” Opt. Express 14, 7986–7993 (2006).
[Crossref]

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
[Crossref]

2004 (1)

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref]

2001 (1)

1992 (1)

D. V. Kosachiov, B. G. Matisov, Y. V. Rozhdestvensky, “Coherent phenomena in multilevel systems with closed interaction contour,” J. Phys. B 25, 2473–2488 (1992).
[Crossref]

1990 (1)

M. S. Shahriar, P. R. Hemmer, “Direct excitation of microwave-spin dressed states using a laser-excited resonance Raman interaction,” Phys. Rev. Lett. 65, 1865–1868 (1990).
[Crossref]

1986 (1)

S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
[Crossref]

Acosta, V. M.

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
[Crossref]

V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
[Crossref]

Aiello, C. D.

C. D. Aiello, M. Hirose, P. Cappellaro, “Composite-pulse magnetometry with a solid-state quantum sensor,” Nat. Commun. 4, 1419 (2013).
[Crossref]

Aksenenkov, V. V.

B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
[Crossref]

Appel, P.

J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
[Crossref]

Awschalom, D. D.

H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
[Crossref]

V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref]

V. V. Dobrovitski, A. E. Feiguin, D. D. Awschalom, R. Hanson, “Decoherence dynamics of a single spin versus spin ensemble,” Phys. Rev. B 77, 245212 (2008).
[Crossref]

Balasubramanian, G.

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
[Crossref]

Barfuss, A.

J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
[Crossref]

Barnett, S. M.

S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
[Crossref]

Bassett, L. C.

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

Beausoleil, R. G.

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
[Crossref]

V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
[Crossref]

C. Santori, D. Fattal, S. M. Spillane, M. Fiorentino, R. G. Beausoleil, A. D. Greentree, P. Olivero, M. Draganski, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, D. N. Jamieson, S. Prawer, “Coherent population trapping in diamond N-V centers at zero magnetic field,” Opt. Express 14, 7986–7993 (2006).
[Crossref]

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
[Crossref]

Beck, J.

M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
[Crossref]

Bennett, S. D.

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
[Crossref]

K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
[Crossref]

Bhave, S. A.

E. R. MacQuarrie, T. A. Gosavi, N. R. Jungwirth, S. A. Bhave, G. D. Fuchs, “Mechanical spin control of nitrogen-vacancy centers in diamond,” Phys. Rev. Lett. 111, 227602 (2013).
[Crossref]

Bormashov, V. S.

B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
[Crossref]

Buckle, S. J.

S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
[Crossref]

Buckley, B. B.

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

Budker, D.

V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
[Crossref]

Burek, M. J.

M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
[Crossref]

Burkard, G.

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

Cappellaro, P.

C. D. Aiello, M. Hirose, P. Cappellaro, “Composite-pulse magnetometry with a solid-state quantum sensor,” Nat. Commun. 4, 1419 (2013).
[Crossref]

Childress, L.

B. Smeltzer, J. McIntyre, L. Childress, “Robust control of individual nuclear spins in diamond,” Phys. Rev. A 80, 050302 (2009).
[Crossref]

Christle, D. J.

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

Chu, Y.

E. Togan, Y. Chu, A. Imamoglu, M. D. Lukin, “Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit,” Nature 478, 497–501 (2011).
[Crossref]

Dobrovitski, V. V.

V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref]

V. V. Dobrovitski, A. E. Feiguin, D. D. Awschalom, R. Hanson, “Decoherence dynamics of a single spin versus spin ensemble,” Phys. Rev. B 77, 245212 (2008).
[Crossref]

Doherty, M. W.

M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
[Crossref]

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F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
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P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
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K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
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K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
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Jayich, A. C. B.

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M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
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F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
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K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
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P. Ovartchaiyapong, K. W. Lee, B. A. Myers, A. C. B. Jayich, “Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator,” Nat. Commun. 5, 4429 (2014).

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P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
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M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
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S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
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K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
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E. Togan, Y. Chu, A. Imamoglu, M. D. Lukin, “Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit,” Nature 478, 497–501 (2011).
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E. R. MacQuarrie, T. A. Gosavi, N. R. Jungwirth, S. A. Bhave, G. D. Fuchs, “Mechanical spin control of nitrogen-vacancy centers in diamond,” Phys. Rev. Lett. 111, 227602 (2013).
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M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
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J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
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M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
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C. Santori, D. Fattal, S. M. Spillane, M. Fiorentino, R. G. Beausoleil, A. D. Greentree, P. Olivero, M. Draganski, J. R. Rabeau, P. Reichart, B. C. Gibson, S. Rubanov, D. N. Jamieson, S. Prawer, “Coherent population trapping in diamond N-V centers at zero magnetic field,” Opt. Express 14, 7986–7993 (2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
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P. Ovartchaiyapong, K. W. Lee, B. A. Myers, A. C. B. Jayich, “Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator,” Nat. Commun. 5, 4429 (2014).

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M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
[Crossref]

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S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
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F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref]

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K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
[Crossref]

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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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Rabeau, J. R.

Rabl, P.

K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
[Crossref]

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
[Crossref]

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M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
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Reinhard, F.

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
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Rettner, C. T.

H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
[Crossref]

Rong, X.

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
[Crossref]

P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
[Crossref]

Rozhdestvensky, Y. V.

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H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
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O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
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V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
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V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
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Shi, F.

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
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P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
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K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
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B. Smeltzer, J. McIntyre, L. Childress, “Robust control of individual nuclear spins in diamond,” Phys. Rev. A 80, 050302 (2009).
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B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
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O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
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Spillane, S. M.

Steiner, M.

M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
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O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
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C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
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B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
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Turukhin, A. V.

Volkov, A. P.

B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
[Crossref]

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X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
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X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
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X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
[Crossref]

Watanabe, H.

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
[Crossref]

Wolf, T.

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
[Crossref]

Wrachtrup, J.

M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
[Crossref]

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
[Crossref]

M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
[Crossref]

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref]

Xu, N.

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
[Crossref]

Xu, X.

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
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Yale, C. G.

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
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Yao, N. Y.

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
[Crossref]

Zhao, N.

P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
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Zoller, P.

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
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Annu. Rev. Condens. Matter Phys. (1)

V. V. Dobrovitski, G. D. Fuchs, A. L. Falk, C. Santori, D. D. Awschalom, “Quantum control over single spins in diamond,” Annu. Rev. Condens. Matter Phys. 4, 23–50 (2013).

Appl. Phys. Lett. (2)

M. J. Burek, D. Ramos, R. Patel, I. W. Frank, M. Loncar, “Nanomechanical resonant structures in single-crystal diamond,” Appl. Phys. Lett. 103, 131904 (2013).
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B. P. Sorokin, G. M. Kvashnin, A. P. Volkov, V. S. Bormashov, V. V. Aksenenkov, M. S. Kuznetsov, G. I. Gordeev, A. V. Telichko, “AlN/single crystalline diamond piezoelectric structure as a high overtone bulk acoustic resonator,” Appl. Phys. Lett. 102, 113507 (2013).
[Crossref]

J. Phys. B (1)

D. V. Kosachiov, B. G. Matisov, Y. V. Rozhdestvensky, “Coherent phenomena in multilevel systems with closed interaction contour,” J. Phys. B 25, 2473–2488 (1992).
[Crossref]

Nat. Commun. (3)

P. Huang, X. Kong, N. Zhao, F. Shi, P. Wang, X. Rong, R. B. Liu, J. Du, “Observation of an anomalous decoherence effect in a quantum bath at room temperature,” Nat. Commun. 2, 570 (2011).
[Crossref]

C. D. Aiello, M. Hirose, P. Cappellaro, “Composite-pulse magnetometry with a solid-state quantum sensor,” Nat. Commun. 4, 1419 (2013).
[Crossref]

P. Ovartchaiyapong, K. W. Lee, B. A. Myers, A. C. B. Jayich, “Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator,” Nat. Commun. 5, 4429 (2014).

Nat. Phys. (1)

F. Dolde, H. Fedder, M. W. Doherty, T. Nöbauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L. C. L. Hollenberg, F. Jelezko, J. Wrachtrup, “Electric-field sensing using single diamond spins,” Nat. Phys. 7, 459–463 (2011).
[Crossref]

Nature (1)

E. Togan, Y. Chu, A. Imamoglu, M. D. Lukin, “Laser cooling and real-time measurement of the nuclear spin environment of a solid-state qubit,” Nature 478, 497–501 (2011).
[Crossref]

Opt. Acta (1)

S. J. Buckle, S. M. Barnett, P. L. Knight, M. A. Lauder, D. T. Pegg, “Atomic interferometers,” Opt. Acta 33, 1129–1140 (1986).
[Crossref]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (1)

B. Smeltzer, J. McIntyre, L. Childress, “Robust control of individual nuclear spins in diamond,” Phys. Rev. A 80, 050302 (2009).
[Crossref]

Phys. Rev. B (4)

M. Steiner, P. Neumann, J. Beck, F. Jelezko, J. Wrachtrup, “Universal enhancement of the optical readout fidelity of single electron spins at nitrogen-vacancy centers in diamond,” Phys. Rev. B 81, 035205 (2010).
[Crossref]

K. V. Kepesidis, S. D. Bennett, S. Portolan, M. D. Lukin, P. Rabl, “Phonon cooling and lasing with nitrogen-vacancy centers in diamond,” Phys. Rev. B 88, 064105 (2013).
[Crossref]

M. W. Doherty, F. Dolde, H. Fedder, F. Jelezko, J. Wrachtrup, N. B. Manson, L. C. L. Hollenberg, “Theory of the ground-state spin of the NV−center in diamond,” Phys. Rev. B 85, 205203 (2012).
[Crossref]

V. V. Dobrovitski, A. E. Feiguin, D. D. Awschalom, R. Hanson, “Decoherence dynamics of a single spin versus spin ensemble,” Phys. Rev. B 77, 245212 (2008).
[Crossref]

Phys. Rev. Lett. (11)

X. Xu, Z. Wang, C. Duan, P. Huang, P. Wang, Y. Wang, N. Xu, X. Kong, F. Shi, X. Rong, J. Du, “Coherence-protected quantum gate by continuous dynamical decoupling in diamond,” Phys. Rev. Lett. 109, 070502 (2012).
[Crossref]

C. Santori, P. Tamarat, P. Neumann, J. Wrachtrup, D. Fattal, R. G. Beausoleil, J. Rabeau, P. Olivero, A. D. Greentree, S. Prawer, F. Jelezko, P. Hemmer, “Coherent population trapping of single spins in diamond under optical excitation,” Phys. Rev. Lett. 97, 247401 (2006).
[Crossref]

V. M. Acosta, K. Jensen, C. Santori, D. Budker, R. G. Beausoleil, “Electromagnetically induced transparency in a diamond spin ensemble enables all-optical electromagnetic field sensing,” Phys. Rev. Lett. 110, 213605 (2013).
[Crossref]

M. S. Shahriar, P. R. Hemmer, “Direct excitation of microwave-spin dressed states using a laser-excited resonance Raman interaction,” Phys. Rev. Lett. 65, 1865–1868 (1990).
[Crossref]

S. D. Bennett, N. Y. Yao, J. Otterbach, P. Zoller, P. Rabl, M. D. Lukin, “Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing,” Phys. Rev. Lett. 110, 156402 (2013).
[Crossref]

K. Fang, V. M. Acosta, C. Santori, Z. Huang, K. M. Itoh, H. Watanabe, S. Shikata, R. G. Beausoleil, “High-sensitivity magnetometry based on quantum beats in diamond nitrogen-vacancy centers,” Phys. Rev. Lett. 110, 130802 (2013).
[Crossref]

H. J. Mamin, M. H. Sherwood, M. Kim, C. T. Rettner, K. Ohno, D. D. Awschalom, D. Rugar, “Multipulse double-quantum magnetometry with near-surface nitrogen-vacancy centers,” Phys. Rev. Lett. 113, 030803 (2014).
[Crossref]

E. R. MacQuarrie, T. A. Gosavi, N. R. Jungwirth, S. A. Bhave, G. D. Fuchs, “Mechanical spin control of nitrogen-vacancy centers in diamond,” Phys. Rev. Lett. 111, 227602 (2013).
[Crossref]

J. Teissier, A. Barfuss, P. Appel, E. Neu, P. Maletinsky, “Strain coupling of a nitrogen-vacancy center spin to a diamond mechanical oscillator,” Phys. Rev. Lett. 113, 020503 (2014).
[Crossref]

F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, “Observation of coherent oscillations in a single electron spin,” Phys. Rev. Lett. 92, 076401 (2004).
[Crossref]

O. O. Soykal, R. Ruskov, C. Tahan, “Sound-based analogue of cavity quantum electrodynamics in silicon,” Phys. Rev. Lett. 107, 235502 (2011).
[Crossref]

Proc. Natl. Acad. Sci. USA (1)

C. G. Yale, B. B. Buckley, D. J. Christle, G. Burkard, F. J. Heremans, L. C. Bassett, D. D. Awschalom, “All-optical control of a solid-state spin using coherent dark states,” Proc. Natl. Acad. Sci. USA 110, 7595–7600 (2013).
[Crossref]

Science (1)

R. Hanson, V. V. Dobrovitski, A. E. Feiguin, O. Gywat, D. D. Awschalom, “Coherent dynamics of a single spin interacting with an adjustable spin bath,” Science 320, 352–355 (2008).
[Crossref]

Other (2)

In Supplement 1, we also repeat this measurement reading out the population from the |+1〉 state and observe similar behavior.

W. M. Seibert, Circuits, Signals, and Systems (MIT, 1985).

Supplementary Material (1)

» Supplement 1: PDF (3191 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

(a) Energy levels of the NV center ground state with corresponding energy separations and driving fields. (b) Schematic of the NV center with applied magnetic ( B and B ) and mechanical ( σ ) fields. (c) Reflected microwave power ( S 11 ) as a function of frequency for the Sample A HBAR as measured with a network analyzer. The resonance at ω mech / 2 π = 0.771 GHz has a Q of 1400. (d) Device schematic (not to scale) and an optical micrograph of an HBAR with the shadow of the loop antenna on the reverse diamond face indicated in red. Apodizing the shape of the HBAR limits the formation of lateral mechanical modes.

Fig. 2.
Fig. 2.

(a) Pulse sequence for mechanical Rabi driving on low- Q devices. (b) Mechanically driven Rabi oscillations between the | 1 and | + 1 spin states for the ω m / 2 π = 771 MHz mechanical mode of Sample A ( Q = 1400 ). An input power of 33 dBm produces a Rabi frequency of Ω mech / 2 π = 1.0 MHz .

Fig. 3.
Fig. 3.

(a) Pulse sequence for mechanical Rabi driving on high- Q devices. (b) Mechanically driven Rabi oscillations for the ω m / 2 π = 529 MHz mechanical mode of Sample B ( Q = 4000 ). The model curve is not a fit to the data. From left to right, the dashed lines correspond to π 2 entering the ringdown portion of the mechanical pulse, π 1 entering the ringup, the maximum mechanical pulse area at τ c , and π 1 entering the ringdown. (c) Mechanically driven Rabi oscillations at different depths inside the diamond substrate plotted as a function of the normalized Rabi interval. An input power of 33 dBm produces a Rabi frequency of Ω mech / 2 π = 3.8 MHz . (d) Gaussian approximation to the microscope PSF plotted at different focal depths inside the diamond. Inhomogeneities in the stress wave amplitude within the PSF increase the dephasing of the mechanically driven Rabi signal.

Fig. 4.
Fig. 4.

Ramsey data taken on Sample A for (a) a mechanically driven { 1 , + 1 } qubit ( δ / 2 π = 830 ± 40 kHz ), (b) a magnetically driven { 1 , + 1 } qubit ( δ / 2 π = 140 ± 50 kHz ), (c) a magnetically driven { 0 , 1 } qubit ( δ / 2 π = 350 ± 6 kHz ), and (d) a magnetically driven { + 1 , 0 } qubit ( δ / 2 π = 17 ± 3 kHz ).

Equations (4)

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H NV = ( D 0 + ϵ σ ) S z 2 + P I z 2 + A I z S z + γ NV B S z + γ NV B S x ϵ σ x ( S x 2 S y 2 ) + ϵ σ y ( S x S y + S y S x ) ,
P | + 1 = 1 3 1 0 g ( z , z 0 ) d z × 0 g ( z , z 0 ) Ω ( z ) 2 Ω ( z ) 2 + δ 2 sin 2 [ 1 2 Ω ( z ) 2 + δ 2 t ] d z ,
Im [ ρ i j ] = e t / T 2 * { C 1 cos [ ( δ + A ) t + ϕ 1 ] + C 2 cos [ δ t + ϕ 2 ] + C 3 cos [ ( δ A ) t + ϕ 3 ] } ,
Im [ ρ + 1 , 1 ] = e t / T 2 * C 1 cos [ ( δ + ω rot ) t + ϕ 1 ] ,

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