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The Casimir force between real materials: experiment and theory (0902.4022v1)

Published 23 Feb 2009 in cond-mat.other and quant-ph

Abstract: The physical origin of the Casimir force is connected with the existence of zero-point and thermal fluctuations. The Casimir effect is very general and finds applications in various fields of physics. This review is limited to the rapid progress at the intersection of experiment and theory that has been achieved in the last few years. It includes a critical assessment of the proposed approaches to the resolution of the puzzles arising in the applications of the Lifshitz theory of the van der Waals and Casimir forces to real materials. All the primary experiments on the measurement of the Casimir force between macroscopic bodies and the Casimir-Polder force between an atom and a wall that have been performed in the last decade are reviewed, including the theory needed for their interpretation. The methodology for the comparison between experiment and theory in the force-distance measurements is presented. The experimental and theoretical results described here provide a deeper understanding of the phenomenon of dispersion forces in real materials and offer guidance for the application of Lifshitz theory for the interpretation of the measurement results.

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Summary

  • The paper unifies theory and experiment by applying Lifshitz theory to accurately measure Casimir forces in real materials, reinforcing quantum fluctuation insights.
  • It systematically examines how frequency-dependent dielectric properties and thermal effects influence force measurements in metals and semiconductors.
  • The study addresses challenges such as discrepancies with the Drude model and outlines implications for nanotechnology and microelectromechanical systems.

Overview of "The Casimir force between real materials: experiment and theory"

The Casimir effect, originating from zero-point and thermal fluctuations, signifies long-range forces acting between uncharged entities such as atoms or macroscopic bodies. These forces are known as dispersion forces, encompassing both van der Waals and Casimir interactions. With the development of quantum mechanics, these forces have been quantitatively characterized, revealing their fundamental dependence on quantum fluctuations.

This paper reviews the interface of experimental and theoretical advancements in understanding the Casimir force, focusing on recent achievements. It examines the significant progress made in resolving challenges posed by the application of Lifshitz theory to real-world materials. This theory, which describes the interaction between phases separated by a vacuum, has been instrumental in defining the van der Waals and Casimir forces.

Key Highlights

  • Theoretical Foundations: Lifshitz theory provides a framework for understanding electromagnetic field fluctuations and their resultant forces within material systems. It extends the quantifications made by earlier models (such as those by London and Casimir) to include thermal effects.
  • Material characteristics: The paper discusses how Lifshitz theory applies to plane parallel materials and considers the dielectric permittivities which are frequency-dependent. This is crucial for describing real metals and dielectrics, where finite conductivity and material imperfections play significant roles.
  • Experimental Validation: Recent experiments have characterized Casimir forces with remarkable accuracy. Upgraded techniques, such as those using atomic force microscopes and micromechanical oscillators, have enabled the validation and refinement of theoretical predictions.
  • Challenges and Resolutions: Major challenges include the thermal correction effects predicted by the Drude model, which conflict with empirical findings and thermodynamic principles. It's argued that certain real-world properties, such as drift currents, should not be present in the Lifshitz theoretical framework due to their non-equilibrium nature.

Experimental Insights

Casimir forces have been precisely measured between metals, and between metallic and semiconductor bodies, offering clarity on their interaction dynamics under various conditions. These measurements have supported or refuted theoretical models based on their ability to predict observable forces accurately. Specifically, the experimental observations have consistently demonstrated deviations predicted by models that improperly account for conduction electron dynamics.

Applications and Future Directions

The paper of Casimir forces is not purely academic but has practical implications across various domains, from nanotechnology to cosmology. Near-future research is poised to explore the role of template geometry and patterning in modulating these forces. The potential for manipulating Casimir interactions through semiconductor properties suggests applications in microelectromechanical systems, promising innovations in frictionless movement and quantum computing devices. Further experimental refinements and theoretical advancements hold the promise of overcoming current limitations, especially in thermally induced variations of the Casimir effect.

Ultimately, integrating the statistical methodologies for hypothesis testing within experimental contexts is crucial for advancing the field. New insights into material properties and precision in experiments will likely drive a deeper understanding and novel applications of Casimir phenomena, fostering the potential for breakthroughs in adjacent scientific and technological fields.

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