Introduction

Chapter
First Online:
Part of the Springer Tracts in Modern Physics book series (STMP, volume 248)

Abstract

The principles of macroscopic quantum electrodynamics and dispersion forces on ground-state objects are reviewed. We introduce a quantisation scheme for the electromagnetic field that is consistent with the macroscopic Maxwell equations, free-space quantum electrodynamics and the fluctuation–dissipation theorem. The field is coupled to one or several atoms via the alternative minimal and multipolar coupling schemes. It is shown how the theory can be used to calculate Casimir forces between bodies, Casimir–Polder forces between atoms and bodies and van der Waals forces between atoms in the presence of bodies.

Keywords

Casimir Force Dissipation Theorem Noise Polarisation Paramagnetic Interaction Diamagnetic Interaction 
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.
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References

  1. 1.
    R. Kubo, Rep. Prog. Phys. 29(I), 255 (1966).Google Scholar
  2. 2.
    L. Knöll, S. Scheel, D.G. Welsch, in Coherence and Statistics of Photons and Atoms, ed. by J. Perina (Wiley, New York, 2001), p. 1Google Scholar
  3. 3.
    D.T. Ho, S.Y. Buhmann, L. Knöll, D.G. Welsch, S. Scheel, J. Kästel, Phys. Rev. A 68(4), 043816 (2003)ADSCrossRefGoogle Scholar
  4. 4.
    D.T. Ho, S.Y. Buhmann, L. Knöll, S. Scheel, D.G. Welsch, in Proceedings of the 8th International Conference on Squeezed States and Uncertainty Relations, ed. by H. Moya-Cessa, R. Jáuregui, S. Hacyan, O. Castaños (Rinton Press, Princeton, New Jersey, 2003), p. 117Google Scholar
  5. 5.
    S.Y. Buhmann, D.G. Welsch, Prog. Quantum Electron. 31(2), 51 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    S.Y. Buhmann, M.R. Tarbutt, S. Scheel, E.A. Hinds, Phys. Rev. A 78(5), 052901 (2008)ADSCrossRefGoogle Scholar
  7. 7.
    C. Baxter, M. Babiker, R. Loudon, Phys. Rev. A 47(2), 1278 (1993)ADSCrossRefGoogle Scholar
  8. 8.
    D.P. Craig, T. Thirunamachandran, Molecular Quantum Electrodynamics (Dover, New York, 1998)Google Scholar
  9. 9.
    W. Thomas, Naturwissenschaften 13(28), 627 (1925)ADSCrossRefMATHGoogle Scholar
  10. 10.
    W. Kuhn, Z. Phys. 33(1), 408 (1925)ADSCrossRefMATHGoogle Scholar
  11. 11.
    F. Reiche, W. Thomas, Z. Phys. 34(1), 408 (1925)Google Scholar
  12. 12.
    S.Y. Buhmann, L. Knöll, D.G. Welsch, D.T. Ho, Phys. Rev. A 70(5), 052117 (2004)ADSCrossRefGoogle Scholar
  13. 13.
    H. Safari, D.G. Welsch, S.Y. Buhmann, S. Scheel, Phys. Rev. A 78(6), 062901 (2008)ADSCrossRefGoogle Scholar
  14. 14.
    S. Scheel, S.Y. Buhmann, Acta Phys. Slovaca 58(5), 675 (2008)ADSCrossRefGoogle Scholar
  15. 15.
    E.A. Power, S. Zienau, Philos. Trans. R. Soc. Lond. Ser. A 251(999), 427 (1959)MathSciNetADSCrossRefMATHGoogle Scholar
  16. 16.
    R.G. Woolley, Proc. R. Soc. Lond. Ser. A 321(1547), 557 (1971)MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    C. Cohen-Tannoudji, J. Dupont-Roc, G. Grynberg, Photons and Atoms (Wiley, New York, 1989)Google Scholar
  18. 18.
    H. Safari, S.Y. Buhmann, D.G. Welsch, D.T. Ho, Phys. Rev. A 74(4), 042101 (2006)ADSCrossRefGoogle Scholar
  19. 19.
    H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)MATHGoogle Scholar
  20. 20.
    E.M. Lifshitz, Sov. Phys. JETP 2(1), 73 (1956)MathSciNetGoogle Scholar
  21. 21.
    J.E. Lennard-Jones, Trans. Faraday Soc. 28, 333 (1932)CrossRefGoogle Scholar
  22. 22.
    H.B.G. Casimir, D. Polder, Phys. Rev. 73(4), 360 (1948)ADSCrossRefMATHGoogle Scholar
  23. 23.
    F. London, Z. Phys. 63(3–4), 245 (1930)ADSMATHGoogle Scholar
  24. 24.
    C. Raabe, D.G. Welsch, Phys. Rev. A 73(6), 063822 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    S.Y. Buhmann, D.T. Ho, D.G. Welsch, J. Opt. B: Quantum Semiclass. Opt. 6(3), S127 (2004)ADSCrossRefGoogle Scholar
  26. 26.
    V.M. Fain, Y.I. Khanin, Quantum Electronics (MIT Press, Cambridge, 1969)Google Scholar
  27. 27.
    S.Y. Buhmann, S. Scheel, H. Safari, D.G. Welsch, Int. J. Mod. Phys. A 24(8–9), 1796 (2009)ADSCrossRefMATHGoogle Scholar
  28. 28.
    S.Y. Buhmann, H. Safari, S. Scheel, A. Salam, Phys. Rev. A. 87(1), 012507 (2013)Google Scholar
  29. 29.
    S.Y. Buhmann, H. Safari, D.G. Welsch, D.T. Ho, Open Syst. Inf. Dyn. 13(4), 427 (2006)MathSciNetCrossRefGoogle Scholar
  30. 30.
    S.Y. Buhmann, H. Safari, D.T. Ho, D.G. Welsch, Opt. Spectrosc. (USSR) 103(3), 374 (2006)ADSCrossRefGoogle Scholar
  31. 31.
    S.Y. Buhmann, S. Scheel, Phys. Rev. Lett. 102(14), 140404 (2009)ADSCrossRefGoogle Scholar
  32. 32.
    A. Sambale, S.Y. Buhmann, D.G. Welsch, M.S. Tomaš, Phys. Rev. A 75(4), 042109 (2007)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Quantum Optics and Laser ScienceImperial College LondonLondonUnited Kingdom

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