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Title: Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions

Abstract

We report an improved dynamic determination of the Casimir pressure P {sup expt} between two plane plates obtained using a micromachined torsional oscillator. The main improvements in the current experiment are a significant suppression of the surface roughness of the Au layers deposited on the interacting surfaces, and a decrease by a factor of 1.7 (down to 0.6 nm) in the experimental error in the measurement of the absolute separation. A metrological analysis of all data for P {sup expt} from 15 sets of measurements permitted us to determine both the random and systematic errors, and to find the total experimental error in P {sup expt} as a function of separation at the 95% confidence level. In contrast to all previous experiments on the Casimir effect, where a small relative error was achieved only at the shortest separation, our smallest experimental error ({approx}0.5%) is achieved over a wide separation range. The theoretical Casimir pressures P {sup theor} in the experimental configuration were calculated by the use of four theoretical approaches suggested in the literature based on the Lifshitz formula at nonzero temperature. All corrections to the Casimir force due to grain structure of the overlying metal layers (including the variationmore » of optical data and patch potentials), surface roughness (including nonmultiplicative and diffraction-type effects), and nonlocal effects, were calculated or estimated. The maximum value of the roughness correction, achieved at the shortest separation of 160 nm, is equal to only 0.65% of the Casimir pressure. All theoretical errors, including those introduced by the proximity force theorem, finite size of the plate area, and uncertainties in the experimental separations, were analyzed and metrologically combined to obtain the total theoretical error at the 95% confidence level. Finally, the confidence interval for (P {sup theor} - P {sup expt}) was obtained as a function of separation. Our measurements are found to be consistent with two theoretical approaches utilizing the plasma model and the surface impedance over the entire measurement region from 160 to 750 nm. Two other approaches to the thermal Casimir force, utilizing the Drude model or a special prescription for the determination of the zero-frequency contribution to the Lifshitz formula, are excluded on the basis of our measurements at the 99 and 95% confidence levels, respectively. Finally, constraints on Yukawa-type hypothetical interactions are strengthened by up to a factor of 20 in a wide interaction range.« less

Authors:
 [1];  [2];  [3];  [4];  [5];  [6]
  1. Department of Physics, Indiana University-Purdue University Indianapolis, Indianapolis, IN 46202 (United States)
  2. Bell Laboratories, Lucent Technologies, Murray Hill, NJ 07974 (United States)
  3. Department of Physics, Purdue University, West Lafayette, IN 47907 (United States)
  4. North-West Technical University, Millionnaya St. 5, St. Petersburg 191065 (Russian Federation)
  5. Physics Department, Wabash College, Crawfordsville, IN 47933 (United States)
  6. Noncommercial Partnership 'Scientific Instruments', Tverskaya St. 11, Moscow 103905 (Russian Federation)
Publication Date:
OSTI Identifier:
20690169
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 318; Journal Issue: 1; Other Information: DOI: 10.1016/j.aop.2005.03.007; PII: S0003-4916(05)00048-5; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CASIMIR EFFECT; COMPARATIVE EVALUATIONS; CORRECTIONS; DIFFRACTION; ERRORS; IMPEDANCE; INTERACTION RANGE; LAYERS; OSCILLATORS; POTENTIALS; QUANTUM MECHANICS; RANDOMNESS; ROUGHNESS; SURFACES

Citation Formats

Decca, R S, Lopez, D, Fischbach, E, Klimchitskaya, G L, Krause, D E, Department of Physics, Purdue University, West Lafayette, IN 47907, and Mostepanenko, V M. Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions. United States: N. p., 2005. Web. doi:10.1016/j.aop.2005.03.007.
Decca, R S, Lopez, D, Fischbach, E, Klimchitskaya, G L, Krause, D E, Department of Physics, Purdue University, West Lafayette, IN 47907, & Mostepanenko, V M. Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions. United States. https://doi.org/10.1016/j.aop.2005.03.007
Decca, R S, Lopez, D, Fischbach, E, Klimchitskaya, G L, Krause, D E, Department of Physics, Purdue University, West Lafayette, IN 47907, and Mostepanenko, V M. Fri . "Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions". United States. https://doi.org/10.1016/j.aop.2005.03.007.
@article{osti_20690169,
title = {Precise comparison of theory and new experiment for the Casimir force leads to stronger constraints on thermal quantum effects and long-range interactions},
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, IN 47907 and Mostepanenko, V M},
abstractNote = {We report an improved dynamic determination of the Casimir pressure P {sup expt} between two plane plates obtained using a micromachined torsional oscillator. The main improvements in the current experiment are a significant suppression of the surface roughness of the Au layers deposited on the interacting surfaces, and a decrease by a factor of 1.7 (down to 0.6 nm) in the experimental error in the measurement of the absolute separation. A metrological analysis of all data for P {sup expt} from 15 sets of measurements permitted us to determine both the random and systematic errors, and to find the total experimental error in P {sup expt} as a function of separation at the 95% confidence level. In contrast to all previous experiments on the Casimir effect, where a small relative error was achieved only at the shortest separation, our smallest experimental error ({approx}0.5%) is achieved over a wide separation range. The theoretical Casimir pressures P {sup theor} in the experimental configuration were calculated by the use of four theoretical approaches suggested in the literature based on the Lifshitz formula at nonzero temperature. All corrections to the Casimir force due to grain structure of the overlying metal layers (including the variation of optical data and patch potentials), surface roughness (including nonmultiplicative and diffraction-type effects), and nonlocal effects, were calculated or estimated. The maximum value of the roughness correction, achieved at the shortest separation of 160 nm, is equal to only 0.65% of the Casimir pressure. All theoretical errors, including those introduced by the proximity force theorem, finite size of the plate area, and uncertainties in the experimental separations, were analyzed and metrologically combined to obtain the total theoretical error at the 95% confidence level. Finally, the confidence interval for (P {sup theor} - P {sup expt}) was obtained as a function of separation. Our measurements are found to be consistent with two theoretical approaches utilizing the plasma model and the surface impedance over the entire measurement region from 160 to 750 nm. Two other approaches to the thermal Casimir force, utilizing the Drude model or a special prescription for the determination of the zero-frequency contribution to the Lifshitz formula, are excluded on the basis of our measurements at the 99 and 95% confidence levels, respectively. Finally, constraints on Yukawa-type hypothetical interactions are strengthened by up to a factor of 20 in a wide interaction range.},
doi = {10.1016/j.aop.2005.03.007},
url = {https://www.osti.gov/biblio/20690169}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = 1,
volume = 318,
place = {United States},
year = {2005},
month = {7}
}