Quantum beats and metrology in a rapidly rotating Nitrogen-Vacancy center

  • Weijun Cheng
  • Tian Tian
  • Zhihai WangEmail author
Regular Article


In this paper, we study the dynamical behavior and quantum metrology in a rotating Nitrogen-Vacancy (NV) center system which is subject to an external magnetic field. Based on the recently realized rapid rotation of nano-rotor [J. Ahn, Z. Xu, J. Bang, Y.-H. Deng, T. M. Hoang, Q. Han, R.-M. Ma, T. Li, Phys. Rev. Lett. 121, 033603 (2018) and R. Reimann, M. Doderer, E. Hebestreit, R. Diehl, M. Frimmer, D. Windey, F. Tebbenjohanns, L. Novotny, Phys. Rev. Lett. 121, 033602 (2018)], the frequency of the rotation is close to that of the intrinsic frequency of the NV center system, we predict the quantum beats phenomenon in the time domain and show that the quantum metrology can be enhanced by the superposition effect in our system.

Graphical abstract


  1. 1.
    A. Gruber, A. Dräbenstedt, C. Tietz, L. Fleury, J. Wrachtrup, C. Von Borczyskowski, Science 276, 2012 (1997)CrossRefGoogle Scholar
  2. 2.
    D.-D. Awschalom, M.E. Flatt, Nat. Phys. 3, 153 (2007)CrossRefGoogle Scholar
  3. 3.
    N. Zhao, S.-W. Ho, R.-B. Liu, Phys. Rev. B 85, 115303 (2012)ADSCrossRefGoogle Scholar
  4. 4.
    L. Viola, E. Knill, S. Lloyd, Phys. Rev. Lett. 82, 2417 (1999)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    L. Cywiński, R.-M. Lutchyn, C.-P. Nave, S.-D. Sarma, Phys. Rev. B 77, 174509 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    Y.-N. Fang, X. Xiao, C.-P. Sun, W. Yang, N. Zhao, https://arXiv:1807.02644 (2018)
  7. 7.
    J.-M. Cai, B. Naydenov, R. Pfeiffer, L.-P. McGuinness, K.-D. Jahnke, F. Jelezko, M.-B. Plenio, A. Retzker, New J. Phys. 14, 113023 (2012)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    M.-W. Doherty, N.-B. Manson, P. Delaney, F. Jelezko, J. Wrachtrup, L.C.L. Hollenberg, Phys. Rep. 528, 1 (2013)ADSCrossRefGoogle Scholar
  9. 9.
    R. Schirhagl, K. Chang, M. Loretz, C.-L. Degen, Annu. Rev. Phys. Chem. 65, 83 (2014)ADSCrossRefGoogle Scholar
  10. 10.
    L.P. McGuinness, Y. Yan, A. Stacey, D.A. Simpson, L.T. Hall, D. Maclaurin, S. Prawer, P. Mulvaney, J. Wrachtrup, F. Caruso, R.E. Scholten, L.C.L. Hollenberg, Nat. Nanotechnol. 6, 358 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    V.M. Acosta, E. Bauch, M.P. Ledbetter, A. Waxman, L.-S. Bouchard, D. Budker, Phys. Rev. Lett. 104, 070801 (2010)ADSCrossRefGoogle Scholar
  12. 12.
    G. Kucsko, P.-C. Maurer, N.-Y. Yao, M. Kubo, H.-J. Noh, P.-K. Lo, H. Park, M.-D. Lukin, Nature 500, 54 (2013)ADSCrossRefGoogle Scholar
  13. 13.
    D.-R. Glenn, K. Lee, H. Park, R. Weissleder, A. Yacoby, M.-D. Lukin, H. Lee, R.-L. Walsworth, C.B. Connolly, Nat. Methods 12, 736 (2015)CrossRefGoogle Scholar
  14. 14.
    D.-L. Sage, K. Arai, D.-R. Glenn, S.-J. DeVience, L.-M. Pham, L.-R. Lee, M.-D. Lukin, A. Yacoby, A. Komeili, R.-L. Walsworth, Nature 496, 486 (2013)ADSCrossRefGoogle Scholar
  15. 15.
    F. Shi, Q. Zhang, P. Wang, H. Sun, J. Wang, X. Rong, M. Chen, C. Ju, F. Reinhard, H. Chen, J. Wrachtrup, J. Wang, J. Du, Science 347, 1135 (2015)ADSCrossRefGoogle Scholar
  16. 16.
    F. Dolde, H. Fedder, M.-W. Doherty, T. Nobauer, F. Rempp, G. Balasubramanian, T. Wolf, F. Reinhard, L.C.L. Hollenberg, F. Jelezko, J. Wrachtrup, Nat. Phys. 7, 459 (2011)CrossRefGoogle Scholar
  17. 17.
    Y. Martin, D.-W. Abraham, H.-K. Wickramasinghe, Appl. Phys. Lett. 52, 1103 (1988)ADSCrossRefGoogle Scholar
  18. 18.
    F. Jelezko, J. Wrachtrup, Phys. Status Solidi A 203, 3207 (2006)ADSCrossRefGoogle Scholar
  19. 19.
    M.W. Doherty, V.V. Struzhkin, D.A. Simpson, L.-P.-M. Guinness, Y. Meng, A. Stacey, T.J. Karle, R.J. Hemley, N.B. Manson, L.C.L. Hollenberg, S. Prawer, Phys. Rev. Lett. 112, 047601 (2014)ADSCrossRefGoogle Scholar
  20. 20.
    L. Rondin, J.-P. Tetienne, T. Hingant, J.-F. Roch, P. Maletinsky, V. Jacques, Rep. Prog. Phys. 77, 056503 (2014)ADSCrossRefGoogle Scholar
  21. 21.
    G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P.-R. Hemmer, F. Jelezko, J. Wrachtrup, Nat. Mater. 8, 383 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    T. Wolf, P. Neumann, K. Nakamura, H. Sumiya, T. Ohshima, J. Isoya, J. Wrachtrup, Phys. Rev. X 5, 041001 (2015)Google Scholar
  23. 23.
    G. Balasubramanian, I.-Y. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P.-R. Hemmer, A. Krueger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, J. Wrachtrup, Nature 455, 648 (2008)ADSCrossRefGoogle Scholar
  24. 24.
    A.A. Wood, E. Lilette, Y.Y. Fein, N. Tomek, L.P. McGuinness, L.C.L. Hollenberg, R.E. Scholten, A.M. Martin, Sci. Adv. 4, eaar7691 (2018)ADSCrossRefGoogle Scholar
  25. 25.
    D. Maclaurin, M.W. Doherty, L.C.L. Hollenberg, A.M. Martin, Phys. Rev. Lett. 108, 240403 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    M.A. Kowarsky, L.C.L. Hollenberg, A.M. Martin, Phys. Rev. A 90, 042116 (2014)ADSCrossRefGoogle Scholar
  27. 27.
    X.Y. Chen, T. Li, Z.Q. Yin, Sci. Bull. 64, 380 (2019)CrossRefGoogle Scholar
  28. 28.
    A.A. Wood, E. Lilette, Y.Y. Fein, V.S. Perunicic, L.C.L. Hollenberg, R.E. Scholten, A.M. Martin, Nat. Phys. 13, 1070 (2017)CrossRefGoogle Scholar
  29. 29.
    M.O. Scully, M.S. Zubairy, Quantum Optics (Cambridge University Press, 1997)Google Scholar
  30. 30.
    W. Chow, M.O. Scully, J. Stoner, Phys. Rev. A 11, 1380 (1975)ADSCrossRefGoogle Scholar
  31. 31.
    R. Herman, H. Grotch, R. Kornblith, J. Eberly, Phys. Rev. A 11, 1389 (1975)ADSCrossRefGoogle Scholar
  32. 32.
    T.H. Jeys, F.B. Dunning, R.F. Stebbings, Phys. Rev. A 29, 379 (1984)ADSCrossRefGoogle Scholar
  33. 33.
    M. Mitsunaga, C.L. Tang, Phys. Rev. A 35, 1720 (1987)ADSCrossRefGoogle Scholar
  34. 34.
    G.C. Hegerfeldt, M.B. Plenio, Phys. Rev. A 47, 2186 (1993)ADSCrossRefGoogle Scholar
  35. 35.
    T. Legero, T. Wilk, M. Hennrich, G. Rempe, A. Kuhn, Phys. Rev. Lett. 93, 070503 (2004)ADSCrossRefGoogle Scholar
  36. 36.
    D.G. Norris, L.A. Orozco, P. Barberis-Blostein, H.J. Carmichael, Phys. Rev. Lett. 105, 123602 (2010)ADSCrossRefGoogle Scholar
  37. 37.
    X.-F. He, P.T.H. Fisk, N.B. Manson, J. Lumin. 60–61, 739 (1994)Google Scholar
  38. 38.
    S.C. Rand, A. Lenef, S.W. Brown, J. Lumin. 53, 68 (1992)CrossRefGoogle Scholar
  39. 39.
    K. Fang, V.M. Acosta, C. Santori, Z. Huang, K.M. Itoh, H. Watanabe, S. Shikata, R.G. Beausoleil, Phys. Rev. Lett. 110, 130802 (2013)ADSCrossRefGoogle Scholar
  40. 40.
    L. Hacquebard, L. Childress, Phys. Rev. A 97, 063408 (2018)ADSCrossRefGoogle Scholar
  41. 41.
    J. Ahn, Z. Xu, J. Bang, Y.-H. Deng, T.M. Hoang, Q. Han, R.-M. Ma, T. Li, Phys. Rev. Lett. 121, 033603 (2018)ADSCrossRefGoogle Scholar
  42. 42.
    R. Reimann, M. Doderer, E. Hebestreit, R. Diehl, M. Frimmer, D. Windey, F. Tebbenjohanns, L. Novotny, Phys. Rev. Lett. 121, 033602 (2018)ADSCrossRefGoogle Scholar
  43. 43.
    S.L. Braunstein, C.M. Caves, Phys. Rev. Lett. 72, 3439 (1994)ADSMathSciNetCrossRefGoogle Scholar
  44. 44.
    S.L. Braunstein, C.M. Caves, G.J. Milburn, Ann. Phys. (N.Y.) 247, 135 (1996)ADSCrossRefGoogle Scholar
  45. 45.
    Y.M. Zhang, X.W. Li, W. Yang, G.R. Jin, Phys. Rev. A 88, 043832 (2013)ADSCrossRefGoogle Scholar
  46. 46.
    W. Zhong, Z. Sun, J. Ma, X. Wang, F. Nori, Phys. Rev. A 87, 022337 (2013)ADSCrossRefGoogle Scholar
  47. 47.
    J. Liu, H.-N. Xiong, F. Song, X. Wang, Physica A 410, 167 (2014)ADSMathSciNetCrossRefGoogle Scholar
  48. 48.
    J. Liu, X.-X. Jing, W. Zhong, X.-G. Wang, Commun. Theor. Phys. 61, 45 (2014)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Center for Quantum Sciences and School of Physics, Northeast Normal UniversityChangchunP.R. China
  2. 2.School of Science, Changchun UniversityChangchunP.R. China

Personalised recommendations