Advertisement

Introduction to Microwave Cavity Optomechanics

  • Konrad W. Lehnert
Chapter
Part of the Quantum Science and Technology book series (QST)

Abstract

In this chapter, I introduce the concepts of electromechanical superconducting resonant circuits, a topic known as microwave cavity optomechanics. As part of that introduction, I will provide: a review of the field’s development, a discussion of its relationship to “optical” cavity optomechanics, and a description of its current progress. In addition, I derive in pedagogical detail the classical dynamics of a mechanical oscillator parametrically coupled to a resonant circuit. Finally, I show that the cavity optomechanical Hamiltonian is the quantum description for a such an electromechanical circuit.

Notes

Acknowledgments

I thank John Price, Charles Rogers, Jennifer Harlow, Tauno Palomaki, Reed Andrews, Hsiang-Shen Ku, and William Kindel for helpful discussions and assistance in preparing this document.

References

  1. 1.
    S. Gigan, J.R. Böhm, M. Paternostro, F. Blaser, G. Langer, J.B. Hertzberg, K.C. Schwab, D. Bäuerle, M. Aspelmeyer, A. Zeilinger, Nature 444, 67 (2006)Google Scholar
  2. 2.
    D. Kleckner, D. Bouwmeester, Nature 444, 75 (2006)ADSCrossRefGoogle Scholar
  3. 3.
    O. Arcizet, P.F. Cohadon, T. Briant, M. Pinard, A. Heidmann, Nature 444, 71 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    T.J. Kippenberg, K.J. Vahala, Science 321, 1172 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    F. Marquardt, Nat. Phys. 4, 513 (2008)CrossRefGoogle Scholar
  6. 6.
    A. Wallraff, D. Schuster, A. Blais, L. Frunzio, R.S. Huang, J. Majer, S. Kumar, S.M. Girvin, R.J. Schoelkopf, Nature 431, 162 (2004)ADSCrossRefGoogle Scholar
  7. 7.
    C.A. Regal, J.D. Teufel, K.W. Lehnert, Nat. Phys. 4, 555 (2008)CrossRefGoogle Scholar
  8. 8.
    J.D. Teufel, J.W. Harlow, C.A. Regal, K.W. Lehnert, Phys. Rev. Lett. 101, 197203 (2008)Google Scholar
  9. 9.
    T. Rocheleau, T. Ndukum, C. Macklin, J.B. Hertzberg, A.A. Clerk, K.C. Schwab, Nature 463, 72 (2010)ADSCrossRefGoogle Scholar
  10. 10.
    J.D. Teufel, T. Donner, M.A. Castellanos-Beltran, J.W. Harlow, K.W. Lehnert, Nat. Nanotech. 4, 820 (2009)ADSCrossRefGoogle Scholar
  11. 11.
    J.B. Hertzberg, T. Rocheleau, T. Ndukum, M. Savva, A.A. Clerk, K.C. Schwab, Nat. Phys. 6, 213 (2010)CrossRefGoogle Scholar
  12. 12.
    J.D. Teufel, D. Li, M.S. Allman, K. Cicak, A.J. Sirois, J.D. Whittaker, R.W. Simmonds, Nature 471, 204 (2011)ADSCrossRefGoogle Scholar
  13. 13.
    J. Sulkko, M.A. Sillanpaa, P. Hakkinen, L. Lechner, M. Helle, A. Fefferman, J. Parpia, P.J. Hakonen, Nano Lett. 10, 4884 (2010)Google Scholar
  14. 14.
    M.D. LaHaye, J. Suh, P.M. Echternach, K.C. Schwab, M.L. Roukes, Nature 459, 960 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    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
  16. 16.
    K.C. Schwab, M.L. Roukes, Phys. Today 58, 36 (2005)CrossRefGoogle Scholar
  17. 17.
    M.F. Bocko, R. Onofrio, Rev. Mod. Phys. 68, 755 (1996)ADSCrossRefGoogle Scholar
  18. 18.
    R.P. Giffard, Phys. Rev. D 14, 2478 (1976)ADSCrossRefGoogle Scholar
  19. 19.
    P.F. Michelson, R.C. Taber, J. Appl. Phys. 52, 4313 (1981)ADSCrossRefGoogle Scholar
  20. 20.
    M.F. Bocko, K.A. Stephenson, R.H. Koch, Phys. Rev. Lett. 61, 726 (1988)ADSCrossRefGoogle Scholar
  21. 21.
    D.G. Blair, E.N. Ivanov, M.E. Tobar, P.J. Turner, F. van Kann, I.S. Heng, Phys. Rev. Lett. 74, 1908 (1995)ADSCrossRefGoogle Scholar
  22. 22.
    V.B. Braginsky, Systems with Small Dissipation (University of Chicago Press, Chicago, 1985)Google Scholar
  23. 23.
    M.E. Tobar, E.N. Ivanov, D.G. Blair, Gen. Relativ. Gravit. 32, 1799 (2000)ADSCrossRefzbMATHGoogle Scholar
  24. 24.
    C.R. Locke, M.E. Tobar, E.N. Ivanov, D.G. Blair, J. Appl. Phys. 84, 6523 (1998)ADSCrossRefGoogle Scholar
  25. 25.
    M.F. Bocko, W.W. Johnson, Phys. Rev. A 30, 2135 (1984)ADSCrossRefGoogle Scholar
  26. 26.
    R. Knobel, A. Cleland, Nature 424, 291 (2003)ADSCrossRefGoogle Scholar
  27. 27.
    M.D. LaHaye, O. Buu, B. Camarota, K.C. Schwab, Science 304, 74 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    A.N. Cleland, J.S. Aldridge, D.C. Driscoll, A.C. Gossard, Appl. Phys. Lett. 81, 1699 (2002)ADSCrossRefGoogle Scholar
  29. 29.
    N.E. Flowers-Jacobs, D.R. Schmidt, K.W. Lehnert, Phys. Rev. Lett. 98, 096804 (2007)ADSCrossRefGoogle Scholar
  30. 30.
    S. Etaki, M. Poot, I. Mahboob, K. Onomitsu, H. Yamaguchi, H.S.J. van der Zant, Nat. Phys. 4, 785 (2008)CrossRefGoogle Scholar
  31. 31.
    A.A. Clerk, Phys. Rev. B 70, 245306 (2004)Google Scholar
  32. 32.
    K.W. Lehnert, K. Bladh, L.F. Spietz, D. Gunnarsson, D.I. Schuster, P. Delsing, R.J. Schoelkopf, Phys. Rev. Lett. 90, 027002 (2003)ADSCrossRefGoogle Scholar
  33. 33.
    P.K. Day, H.G. LeDuc, B.A. Mazin, A. Vayonakis, J. Zmuidzinas, Nature 425(6960), 817 (2003)ADSCrossRefGoogle Scholar
  34. 34.
    B.A. Mazin, Microwave kinetic inductance detectors. Ph.D. thesis, California Institute of Technology (2004)Google Scholar
  35. 35.
    K.R. Brown, J. Britton, R.J. Epstein, J. Chiaverini, D.L.D.J. Wineland, Phys. Rev. Lett. 99, 137205 (2007)ADSCrossRefGoogle Scholar
  36. 36.
    A.A. Clerk, M.H. Devoret, S.M. Girvin, F. Marquardt, R.J. Schoelkopf, Rev. Mod. Phys. 82, 1155 (2010)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  37. 37.
    F. Marquardt, J.P. Chen, A.A. Clerk, S.M. Girvin, Phys. Rev. Lett. 99, 093902 (2007)ADSCrossRefGoogle Scholar
  38. 38.
    I. Wilson-Rae, N. Nooshi, W. Zwerger, T.J. Kippenberg, Phys. Rev. Lett. 99, 093901 (2007)ADSCrossRefGoogle Scholar
  39. 39.
    S. Groblacher, K. Hammerer, M.R. Vanner, M. Aspelmeyer, Nature 460, 724 (2009)ADSCrossRefGoogle Scholar
  40. 40.
    S.D. Bartlett, B.C. Sanders, S.L. Braunstein, K. Nemoto, Phys. Rev. Lett. 88(9), 097904 (2002)ADSCrossRefGoogle Scholar
  41. 41.
    J. Gao, J. Zmuidzinas, B.A. Mazin, H.G. LeDuc, P.K. Day, Appl. Phys. Lett. 90, 102507 (2007)ADSCrossRefGoogle Scholar
  42. 42.
    J.S. Gao, M. Daal, A. Vayonakis, S. Kumar, J. Zmuidzinas, B. Sadoulet, B.A. Mazin, P.K. Day, H.G. Leduc, Appl. Phys. Lett. 92, 152505 (2008)Google Scholar
  43. 43.
    J. Gao, M. Daal, J.M. Martinis, A. Vayonakis, J. Zmuidzinas, B. Sadoulet, B.A. Mazin, P.K. Day, H.G. Leduc, Appl. Phys. Lett. 92, 212504 (2008)Google Scholar
  44. 44.
    J.D. Teufel, C.A. Regal, K.W. Lehnert, New J. Phys. 10, 095002 (2008)Google Scholar
  45. 45.
    M. Hofheinz, H. Wang, M. Ansmann, R.C. Bialczak, E. Lucero, M. Neeley, A.D. O’Connell, D. Sank, J. Wenner, J.M. Martinis, A.N. Cleland, Nature 459, 546 (2009)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of ColoradoBoulderUSA
  2. 2.JILA, National Institute of Standards and TechnologyUniversity of ColoradoBoulderUSA

Personalised recommendations