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Open Quantum Systems Decoherence

Computation and visualization of Casimir forces in arbitrary geometries: non-monotonic lateral forces and failure of proximity-force approximations

arXiv
Authors: Alejandro Rodriguez, Mihai Ibanescu, Davide Iannuzzi, Federico Capasso, John D. Joannopoulos, Steven G. Johnson

Year

2007

Paper ID

50576

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

We present a method of computing Casimir forces for arbitrary geometries, with any desired accuracy, that can directly exploit the efficiency of standard numerical-electromagnetism techniques. Using the simplest possible finite-difference implementation of this approach, we obtain both agreement with past results for cylinder-plate geometries, and also present results for new geometries. In particular, we examine a piston-like problem involving two dielectric and metallic squares sliding between two metallic walls, in two and three dimensions, respectively, and demonstrate non-additive and non-monotonic changes in the force due to these lateral walls.

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  • We present a method of computing Casimir forces for arbitrary geometries, with any desired accuracy, that can directly exploit the efficiency of standard...

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