Casimir Force in QED


Thoery

"On the attraction between two perfectly conducting plates,"

H.B.G. Casimir, Proc. K. Ned. Akad. Wet. 51, 793 (1948)

Quantum fluctuations of electromagnetic field in the vacuum between leads to an attractive force between perfect mirrors

"The Theory of Molecular Attractive Forces Between Solids,"

E.M. Lifshitz, Soviet Physics 2, 73 (1956),

 Generalizes the result by considering fluctuating current sources in the bodies.


Experiment

Early experiments provided at best qualitative support for an attractive force:

Deriagin & Abrikosova (1956) [Silica lenses]; Sparnaay (1958) [Aluminum plates H~1-100 nm]

Israilachvili & Tabor (1972) [mica  H>1µm]; von Blokland & Overbeek (1978) [H~1-100 nm]

The era of high precision tests:

 "Demonstration of the Casimir Force in the 0.6 to 6µm Range," (using a torsion pendulum)

S.K. Lamoreaux, Phys. Rev. Lett. 78, 5 (1997)

   

  "Precision Measurements of the Casimir Force from 0.1 to 0.9µm," (using atomic force microscopy)

U. Mohideen and A. Roy, Phys. Rev. Lett. 81, 4549 (1998) (offline)

   Other groups [Ederth; Bressi, Carugno, Onofrio & Ruoso; Decca, Lopez, Fischbach & Krause; ...]


Applications

Important in microelectromechanical systems (MEMS): micron-scale metallic machines

 

  "The role of the casimir effect in the static deflection and stiction of membrane strips in MEMS,"

 F. Michael Serry, Dirk Walliser, and G. Jordan Maclay, J. Appl. Phys. 84, 2501 (1998)

  "Stiction, adhesion energy, and the Casimir effect in micromechanical systems,"

 E. Buks and M. L. Roukes, Phys. Rev. B 63, 033402 (2001)

  "Quantum Mechanical Actuation of Microelectromechanical Systems by the Casimir Force,"

 H. B. Chan, V. A. Aksyuk, R. N. Kleiman, D. J. Bishop, Federico Capasso, Science 291, 1941 (2001)