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Title: Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates

Abstract

A micromechanical torsion oscillator has been used to strengthen the limits on new Yukawa forces by determining the Casimir pressure between two gold-coated plates. By significantly reducing the random errors and obtaining the electronic parameters of the gold coatings, we were able to conclusively exclude the predictions of large thermal effects below 1 {mu}m and strengthen the constraints on Yukawa corrections to Newtonian gravity in the interaction range from 29.5 nm to 86 nm.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [7]
  1. Department of Physics, Indiana University-Purdue University Indianapolis, Indianapolis, Indiana 46202 (United States)
  2. Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey 07974 (United States)
  3. Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
  4. North-West Technical University, Millionnaya St. 5, St. Petersburg, 191065 (Russian Federation)
  5. Physics Department, Wabash College, Crawfordsville, Indiana 47933 (United States)
  6. (United States)
  7. Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow, 103905 (Russian Federation)
Publication Date:
OSTI Identifier:
21020321
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.75.077101; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CASIMIR EFFECT; COATINGS; CORRECTIONS; ERRORS; GOLD; GRAVITATION; INTERACTION RANGE; OSCILLATORS; PLATES; QUANTUM ELECTRODYNAMICS; RANDOMNESS; TEMPERATURE DEPENDENCE; TORSION

Citation Formats

Decca, R. S., Lopez, D., Fischbach, E., Klimchitskaya, G. L., Krause, D. E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, and Mostepanenko, V. M. Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.077101.
Decca, R. S., Lopez, D., Fischbach, E., Klimchitskaya, G. L., Krause, D. E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, & Mostepanenko, V. M. Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates. United States. doi:10.1103/PHYSREVD.75.077101.
Decca, R. S., Lopez, D., Fischbach, E., Klimchitskaya, G. L., Krause, D. E., Department of Physics, Purdue University, West Lafayette, Indiana 47907, and Mostepanenko, V. M. Sun . "Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates". United States. doi:10.1103/PHYSREVD.75.077101.
@article{osti_21020321,
title = {Tests of new physics from precise measurements of the Casimir pressure between two gold-coated plates},
author = {Decca, R. S. and Lopez, D. and Fischbach, E. and Klimchitskaya, G. L. and Krause, D. E. and Department of Physics, Purdue University, West Lafayette, Indiana 47907 and Mostepanenko, V. M.},
abstractNote = {A micromechanical torsion oscillator has been used to strengthen the limits on new Yukawa forces by determining the Casimir pressure between two gold-coated plates. By significantly reducing the random errors and obtaining the electronic parameters of the gold coatings, we were able to conclusively exclude the predictions of large thermal effects below 1 {mu}m and strengthen the constraints on Yukawa corrections to Newtonian gravity in the interaction range from 29.5 nm to 86 nm.},
doi = {10.1103/PHYSREVD.75.077101},
journal = {Physical Review. D, Particles Fields},
number = 7,
volume = 75,
place = {United States},
year = {Sun Apr 01 00:00:00 EDT 2007},
month = {Sun Apr 01 00:00:00 EDT 2007}
}
  • The possibility of making precise predictions for the Casimir force is essential for the theoretical interpretation of current precision experiments on the thermal Casimir effect with metallic plates, especially for submicron separations. For this purpose it is necessary to estimate very accurately the dielectric function of a conductor along the imaginary frequency axis. This task is complicated in the case of ohmic conductors because optical data do not usually extend to sufficiently low frequencies to permit an accurate evaluation of the standard Kramers-Kronig integral used to compute {epsilon}(i{xi}). By making important improvements to the results of a previous paper bymore » the author, it is shown that this difficulty can be resolved by considering suitable weighted dispersion relations, which strongly suppress the contribution of low frequencies. The weighted dispersion formulas presented in this paper permit us to estimate accurately the dielectric function of ohmic conductors for imaginary frequencies, on the basis of optical data extending from the IR to the UV, with no need for uncontrolled data extrapolations toward zero frequency that are necessary with standard Kramers-Kronig relations. Applications to several sets of data for gold films are presented to demonstrate the viability of the dispersion formulas presented in this paper.« less
  • Cited by 18
  • The vacuum energy between two birefringent plates was calculated using the quantized surface mode technique. And an analytical approximate expression of Casimir torque was obtained in the retarded limit, which is found to vary as sin(2{phi}) with {phi}, the angle between the two optical axes. This result is a supplement to the numerical calculation obtained by Munday, Iannuzzi, Barash, and Capasso [Phys. Rev. A. 71, 042102 (2005)].
  • We investigate the thermal Casimir interaction between two magnetodielectric plates made of real materials. On the basis of the Lifshitz theory, it is shown that for diamagnets and for paramagnets in the broad sense (with exception of ferromagnets) the magnetic properties do not influence the magnitude of the Casimir force. For ferromagnets, taking into account the realistic dependence of magnetic permeability on frequency, we conclude that the impact of magnetic properties on the Casimir interaction arises entirely from the contribution of the zero-frequency term in the Lifshitz formula. The computations of the Casimir free energy and pressure are performed formore » the configurations of two plates made of ferromagnetic metals (Co and Fe), for one plate made of ferromagnetic metal and the other of nonmagnetic metal (Au), for two ferromagnetic dielectric plates (on the basis of polystyrene), and for a ferromagnetic dielectric plate near a nonmagnetic metal plate. The dielectric permittivity of metals is described using both the Drude and the plasma model approaches. It is shown that the Casimir repulsion through the vacuum gap can be realized in the configuration of a ferromagnetic dielectric plate near a nonmagnetic metal plate described by the plasma model. In all cases considered, the respective analytical results in the asymptotic limit of large separations between the plates are obtained. The impact of the magnetic phase transition through the Curie temperature on the Casimir interaction is considered. In conclusion, we propose several experiments allowing to determine whether the magnetic properties really influence the Casimir interaction and to independently verify the Drude and plasma model approaches to the thermal Casimir force.« less