Hybrid Mechanical Systems

Part of the Quantum Science and Technology book series (QST)


We discuss hybrid systems in which a mechanical oscillator is coupled to another (microscopic) quantum system, such as trapped atoms or ions, solid-state spin qubits, or superconducting devices. We summarize and compare different coupling schemes and describe first experimental implementations. Hybrid mechanical systems enable new approaches to quantum control of mechanical objects, precision sensing, and quantum information processing.


Coupling Strength Magnetic Field Gradient Mechanical Oscillator Nitrogen Vacancy Mechanical Resonator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



P.T. acknowledges fruitful discussions with D. Hunger and support by the EU project AQUTE and the Swiss National Science Foundation. K.H. acknowledges support through the cluster of excellence QUEST at the University of Hannover. C.G. acknowledges support from the Austrian Science Fund (FWF).


  1. 1.
    R. Hanson, D.D. Awschalom, Nature 453(7198), 1043 (2008)ADSCrossRefGoogle Scholar
  2. 2.
    A.J. Shields, Nat. Photonics 1(4), 215 (2007)ADSCrossRefGoogle Scholar
  3. 3.
    J. Clarke, F.K. Wilhelm, Nature 453, 1031 (2008)ADSCrossRefGoogle Scholar
  4. 4.
    M.P. Blencowe, M.N. Wybourne, Appl. Phys. Lett. 77, 3845 (2000)ADSCrossRefGoogle Scholar
  5. 5.
    R.G. Knobel, A.N. Cleland, Nature 424, 291 (2003)ADSCrossRefGoogle Scholar
  6. 6.
    S. Zippilli, G. Morigi, A. Bachtold, Phys. Rev. Lett. 102, 096804 (2009)ADSCrossRefGoogle Scholar
  7. 7.
    S.D. Bennett, L. Cockins, Y. Miyahara, P. Grütter, A.A. Clerk, Phys. Rev. Lett. 104, 017203 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    A.D. Armour, M.P. Blencowe, K.C. Schwab, Phys. Rev. Lett. 88, 148301 (2002)ADSCrossRefGoogle Scholar
  9. 9.
    E.K. Irish, K. Schwab, Phys. Rev. B 68, 155311 (2003)ADSCrossRefGoogle Scholar
  10. 10.
    I. Martin, A. Shnirman, L. Tian, P. Zoller, Phys. Rev. B 69, 125339 (2004)ADSCrossRefGoogle Scholar
  11. 11.
    M.D. LaHaye, J. Suh, P.M. Echternach, K.C. Schwab, M.L. Roukes, Nature 459, 960 (2009)ADSCrossRefGoogle Scholar
  12. 12.
    X. Zhou, A. Mizel, Phys. Rev. Lett. 97, 267201 (2006)ADSCrossRefGoogle Scholar
  13. 13.
    E. Buks, M.P. Blencowe, Phys. Rev. B 74, 174504 (2006)ADSCrossRefGoogle Scholar
  14. 14.
    F. Xue, Y.D. Wang, C.P. Sun, H. Okamoto, H. Yamaguchi, K. Semba, New J. Phys. 9, 35 (2007)ADSCrossRefGoogle Scholar
  15. 15.
    Y.D. Wang, K. Semba, H. Yamaguchi, New J. Phys. 10, 043015 (2008)ADSCrossRefGoogle Scholar
  16. 16.
    K. Jähne, K. Hammerer, M. Wallquist, New J. Phys. 10, 095019 (2008)CrossRefGoogle Scholar
  17. 17.
    S. Etaki, M. Poot, I. Mahboob, K. Onomitsu, H. Yamaguchi, H.S.J. van der Zant, Nat. Phys. 4, 785 (2008)CrossRefGoogle Scholar
  18. 18.
    I. Bargatin, M. Roukes, Phys. Rev. Lett. 91 (2003)Google Scholar
  19. 19.
    D. Rugar, R. Budakian, H. Mamin, B. Chui, Nature 430, 329 (2004)ADSCrossRefGoogle Scholar
  20. 20.
    C.L. Degen, M. Poggio, H.J. Mamin, C.T. Rettner, D. Rugar, Proc. Natl. Acad. Sci. U.S.A. 106, 1313 (2009)ADSCrossRefGoogle Scholar
  21. 21.
    F. Xue, L. Zhong, Y. Li, C.P. Sun, Phys. Rev. B 75, 033407 (2007)ADSCrossRefGoogle Scholar
  22. 22.
    P. Rabl, P. Cappellaro, M.V.G. Dutt, L. Jiang, J. Maze, M.D. Lukin, Phys. Rev. B 79, 041302 (2009)ADSCrossRefGoogle Scholar
  23. 23.
    M. Poggio, C. Degen, C. Rettner, H. Mamin, D. Rugar, Appl. Phys. Lett. 90, 263111 (2007)ADSCrossRefGoogle Scholar
  24. 24.
    H. Mamin, C. Rettner, M. Sherwood, L. Gao, D. Rugar, Appl. Phys. Lett. 100, 013102 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    I. Wilson-Rae, P. Zoller, A. Imamoglu, Phys. Rev. Lett. 92, 075507 (2004)ADSCrossRefGoogle Scholar
  26. 26.
    Yu. Makhlin, G. Schön, A. Shnirman, Rev. Mod. Phys. 73, 357 (2001)ADSCrossRefGoogle Scholar
  27. 27.
    D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, M.H. Devoret, Science 296, 886 (2002)ADSCrossRefGoogle Scholar
  28. 28.
    J.A. Schreier, A.A. Houck, J. Koch, D.I. Schuster, B.R. Johnson, J.M. Chow, J.M. Gambetta, J. Majer, L. Frunzio, M.H. Devoret, S.M. Girvin, R.J. Schoelkopf, Phys. Rev. B 77, 180502 (2008)ADSCrossRefGoogle Scholar
  29. 29.
    J.M. Raimond, M. Brune, S. Haroche, Rev. Mod. Phys. 73, 565 (2001)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  30. 30.
    D. Leibfried, R. Blatt, C. Monroe, D. Wineland, Rev. Mod. Phys. 75, 281 (2003)ADSCrossRefGoogle Scholar
  31. 31.
    P. Rabl, A. Shnirman, P. Zoller, Phys. Rev. B 70, 205304 (2004)ADSCrossRefGoogle Scholar
  32. 32.
    S. Haroche, J.M. Raimond (eds.), Exploring the Quantum (Oxford University Press, New York, 2006)zbMATHGoogle Scholar
  33. 33.
    A.D. O’Connell, M. Hofheinz, M. Ansmann, R.C. Bialczak, M. Lenander, E. Lucero, M. Neeley, D. Sank, H. Wang, M. Weides, J. Wenner, J.M. Martinis, A.N. Cleland, Nature 464, 697 (2010)Google Scholar
  34. 34.
    M. Poggio, C.L. Degen, Nanotechnology 21, 342001 (2010)CrossRefGoogle Scholar
  35. 35.
    R. Budakian, H. Mamin, B. Chui, D. Rugar, Science 307, 408 (2005)ADSCrossRefGoogle Scholar
  36. 36.
    D. Mozyrsky, I. Martin, D. Pelekhov, P. Hammel, Appl. Phys. Lett. 82, 1278 (2003)ADSCrossRefGoogle Scholar
  37. 37.
    G. Berman, V. Gorshkov, D. Rugar, V. Tsifrinovich, Phys. Rev. B 68 (2003)Google Scholar
  38. 38.
    P. Magusin, W. Veeman, J. Magn. Reson. 143, 243 (2000)ADSCrossRefGoogle Scholar
  39. 39.
    P. Rabl, S.J. Kolkowitz, F.H.L. Koppens, J.G.E. Harris, P. Zoller, M.D. Lukin, Nat. Phys. 6, 602 (2010)CrossRefGoogle Scholar
  40. 40.
    C.L. Degen, M. Poggio, H.J. Mamin, D. Rugar, Phys. Rev. Lett. 100 (2008)Google Scholar
  41. 41.
    F. Jelezko, T. Gaebel, I. Popa, A. Gruber, J. Wrachtrup, Phys. Rev. Lett. 92, 076401 (2004)ADSCrossRefGoogle Scholar
  42. 42.
    G. Balasubramanian, P. Neumann, D. Twitchen, M. Markham, R. Kolesov, N. Mizuochi, J. Isoya, J. Achard, J. Beck, J. Tissler, V. Jacques, P. Hemmer, F. Jelezko, J. Wrachtrup, Nat. Mater. 8, 383 (2009)Google Scholar
  43. 43.
    C. Degen, Appl. Phys. Lett. 92, 243111 (2008)ADSCrossRefGoogle Scholar
  44. 44.
    J. Maze, P. Stanwix, J. Hodges, S. Hong, J. Taylor, P. Cappellaro, L. Jiang, M. Dutt, E. Togan, A. Zibrov, A. Yacoby, R. Walsworth, M. Lukin, Nature 455, 644 (2008)ADSCrossRefGoogle Scholar
  45. 45.
    G. Balasubramanian, I. Chan, R. Kolesov, M. Al-Hmoud, J. Tisler, C. Shin, C. Kim, A. Wojcik, P. Hemmer, A. Krueger, T. Hanke, A. Leitenstorfer, R. Bratschitsch, F. Jelezko, J. Wrachtrup, Nature 455, 648 (2008)ADSCrossRefGoogle Scholar
  46. 46.
    M. Grinolds, P. Maletinsky, S. Hong, M. Lukin, R. Walsworth, A. Yacoby, Nat. Phys. 7, 687 (2011)CrossRefGoogle Scholar
  47. 47.
    O. Arcizet, V. Jacques, A. Siria, P. Poncharal, P. Vincent, S. Seidelin, Nat. Phys. 7, 879 (2011)CrossRefGoogle Scholar
  48. 48.
    S. Kolkowitz, A.C.B. Jayich, Q. Unterreithmeier, S.D. Bennett, P. Rabl, J.G.E. Harris, M.D. Lukin, Science 335, 1603 (2012)ADSCrossRefGoogle Scholar
  49. 49.
    S. Chu, Nature 416, 206 (2002)ADSCrossRefGoogle Scholar
  50. 50.
    M.A. Kasevich, Science 298, 1363 (2002)ADSCrossRefGoogle Scholar
  51. 51.
    R. Wynands, S. Weyers, Metrologia 42, S64 (2005)ADSCrossRefGoogle Scholar
  52. 52.
    A.D. Cronin, J. Schmiedmayer, D.E. Pritchard, Rev. Mod. Phys. 81, 1052 (2009)ADSCrossRefGoogle Scholar
  53. 53.
    W. Ketterle, D.S. Durfee, D.M. Stamper-Kurn, Bose-Einstein condensation in atomic gases, in Proceedings of the International School of Physics “Enrico Fermi”, Course CXL, ed. by M. Inguscio, S. Stringari, C.E. Wieman (IOS Press, Amsterdam, 1999), pp. 67–176Google Scholar
  54. 54.
    I. Bloch, Science 319, 1202 (2008)ADSCrossRefGoogle Scholar
  55. 55.
    J. Reichel, V. Vuletić (eds.), Atom Chips (Wiley-VCH, Weinheim, 2011)Google Scholar
  56. 56.
    D. Wineland, Phys. Scr. T137, 014007 (2009)ADSCrossRefGoogle Scholar
  57. 57.
    C. Deutsch, F. Ramirez-Martinez, C. Lacroûte, F. Reinhard, T. Schneider, J.N. Fuchs, F. Pichon, F. Laloë, J. Reichel, P. Rosenbusch, Phys. Rev. Lett. 105, 020401 (2010)ADSCrossRefGoogle Scholar
  58. 58.
    D. Wineland, C. Monroe, W.M. Itano, D. Leibfried, B. King, D. Meekhof, J. Res. Natl. Inst. Stand. Technol. 103, 259 (1998)CrossRefGoogle Scholar
  59. 59.
    L. Tian, P. Zoller, Phys. Rev. Lett. 93, 266403 (2004)ADSCrossRefGoogle Scholar
  60. 60.
    W.K. Hensinger, D.W. Utami, H.S. Goan, K. Schwab, C. Monroe, G.J. Milburn, Phys. Rev. A 72, 041405(R) (2005)ADSCrossRefGoogle Scholar
  61. 61.
    S. Singh, M. Bhattacharya, O. Dutta, P. Meystre, Phys. Rev. Lett. 101, 263603 (2008)ADSCrossRefGoogle Scholar
  62. 62.
    P. Treutlein, D. Hunger, S. Camerer, T.W. Hänsch, J. Reichel, Phys. Rev. Lett. 99, 140403 (2007)ADSCrossRefGoogle Scholar
  63. 63.
    A.A. Geraci, J. Kitching, Phys. Rev. A 80, 032317 (2009)ADSCrossRefGoogle Scholar
  64. 64.
    S. Singh, P. Meystre, Phys. Rev. A 81, 041804 (2010)ADSCrossRefGoogle Scholar
  65. 65.
    C. Joshi, A. Hutter, F. Zimmer, M. Jonson, E. Andersson, P. Ohberg, Phys. Rev. A 82, 043846 (2010)ADSCrossRefGoogle Scholar
  66. 66.
    S. Steinke, S. Singh, M. Tasgin, P. Meystre, K. Schwab, M. Vengalattore, Phys. Rev. A 84, 023841 (2011)ADSCrossRefGoogle Scholar
  67. 67.
    K. Hammerer, M. Aspelmeyer, E.S. Polzik, P. Zoller, Phys. Rev. Lett. 102, 020501 (2009)ADSCrossRefGoogle Scholar
  68. 68.
    K. Hammerer, K. Stannigel, C. Genes, P. Zoller, P. Treutlein, S. Camerer, D. Hunger, T.W. Hänsch, Phys. Rev. A 82, 021803 (2010)Google Scholar
  69. 69.
    B. Vogell, K. Stannigel, P. Zoller, K. Hammerer, M.T. Rakher, M. Korppi, A. Jöckel, P. Treutlein, Phys. Rev. A 87, 023816 (2013)ADSCrossRefGoogle Scholar
  70. 70.
    D. Meiser, P. Meystre, Phys. Rev. A 73, 033417 (2006)ADSCrossRefGoogle Scholar
  71. 71.
    C. Genes, D. Vitali, P. Tombesi, Phys. Rev. A 77, 050307 (2008)ADSCrossRefGoogle Scholar
  72. 72.
    H. Ian, Z.R. Gong, Y. Liu, C.P. Sun, F. Nori, Phys. Rev. A 78, 013824 (2008)ADSCrossRefGoogle Scholar
  73. 73.
    K. Hammerer, M. Wallquist, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, P. Zoller, J. Ye, H.J. Kimble, Phys. Rev. Lett. 103, 063005 (2009)ADSCrossRefGoogle Scholar
  74. 74.
    M. Wallquist, K. Hammerer, P. Zoller, C. Genes, M. Ludwig, F. Marquardt, P. Treutlein, J. Ye, H.J. Kimble, Phys. Rev. A 81, 023816 (2010)ADSCrossRefGoogle Scholar
  75. 75.
    A. Bhattacherjee, Phys. Rev. A 80, 043607 (2009)ADSCrossRefGoogle Scholar
  76. 76.
    C. Genes, H. Ritsch, D. Vitali, Phys. Rev. A 80, 061803 (2009)ADSCrossRefGoogle Scholar
  77. 77.
    K. Zhang, W. Chen, M. Bhattacharya, P. Meystre, Phys. Rev. A 81, 013802 (2010)ADSCrossRefGoogle Scholar
  78. 78.
    M. Paternostro, G. De Chiara, G. Palma, Phys. Rev. Lett. 104, 243602 (2010)ADSCrossRefGoogle Scholar
  79. 79.
    G. De Chiara, M. Paternostro, G. Palma, Phys. Rev. A 83, 052324 (2011)ADSCrossRefGoogle Scholar
  80. 80.
    Y. Chang, T. Shi, Y.x. Liu, C. Sun, F. Nori. Phys. Rev. A 83, 063826 (2011)Google Scholar
  81. 81.
    Y.J. Wang, M. Eardley, S. Knappe, J. Moreland, L. Hollberg, J. Kitching, Phys. Rev. Lett. 97, 227602 (2006)ADSCrossRefGoogle Scholar
  82. 82.
    D. Hunger, S. Camerer, T.W. Hänsch, D. König, J.P. Kotthaus, J. Reichel, P. Treutlein, Phys. Rev. Lett. 104, 143002 (2010)ADSCrossRefGoogle Scholar
  83. 83.
    S. Camerer, M. Korppi, A. Jöckel, D. Hunger, T.W. Hänsch, P. Treutlein, Phys. Rev. Lett. 107, 223001 (2011)ADSCrossRefGoogle Scholar
  84. 84.
    M. Korppi, A. Jöckel, M.T. Rakher, S. Camerer, D. Hunger, T.W. Hänsch, P. Treutlein, EPJ Web Conf. 57, 03006 (2013)CrossRefGoogle Scholar
  85. 85.
    D. Hunger, S. Camerer, M. Korppi, A. Jöckel, T.W. Hänsch, P. Treutlein, C. R. Phys. 12, 871 (2011)ADSCrossRefGoogle Scholar
  86. 86.
    M. Gierling, P. Schneeweiss, G. Visanescu, P. Federsel, M. Häffner, D.P. Kern, T.E. Judd, A. Günther, J. Fortagh, Nat. Nanotech. 6, 446 (2011)Google Scholar
  87. 87.
    C. Gardiner, Phys. Rev. Lett. 70, 2269 (1993)ADSCrossRefGoogle Scholar
  88. 88.
    H. Carmichael, Phys. Rev. Lett. 70, 2273 (1993)ADSCrossRefGoogle Scholar
  89. 89.
    C.K. Law, J.H. Eberly, Phys. Rev. Lett. 76, 1055 (1996)ADSCrossRefGoogle Scholar
  90. 90.
    M. Wallquist, K. Hammerer, P. Rabl, M. Lukin, P. Zoller, Phys. Scr. T137, 014001 (2009)ADSCrossRefGoogle Scholar
  91. 91.
    T. Bagci, A. Simonsen, S. Schmid, L.G. Villanueva, E. Zeuthen, J. Appel, J.M. Taylor, A. Sorensen, K. Usami, A. Schliesser, E.S. Polzik, preprint (2013). arXiv:1307.3467
  92. 92.
    R.W. Andrews, R.W. Peterson, T.P. Purdy, K. Cicak, R.W. Simmonds, C.A. Regal, K.W. Lehnert, preprint (2013). arXiv:1310.5276
  93. 93.
    J.M. Taylor, A.S. Sørensen, C.M. Marcus, E.S. Polzik, Phys. Rev. Lett. 107, 273601 (2011)Google Scholar
  94. 94.
    S.A. McGee, D. Meiser, C.A. Regal, K.W. Lehnert, M.J. Holland, Phys. Rev. A 87, 053818 (2013)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of BaselBaselSwitzerland
  2. 2.Institute for Theoretical PhysicsUniversity of InnsbruckInnsbruckAustria
  3. 3.Institute for Theoretical Physics and Institute for Gravitational PhysicsUniversity of HannoverHannoverGermany
  4. 4.Institute of Atomic and Subatomic PhysicsVienna University of TechnologyViennaAustria

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