2023/11/24 by Giuseppe Bimonte, Bimonte, G., Thorsten Emig +1 · 1 citation
Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Electrodynamics and Casimir Effect #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.2311.14833
openalex publication_date 2023/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Fluctuation induced forces are a hallmark of the interplay of fluctuations and geometry. We recently proved the existence of a multi-parametric family of exact representations of Casimir and Casimir-Polder interactions between bodies of arbitrary shape and material composition, admitting a multiple scattering expansion (MSE) as a sequence of inter- and intra-body multiple wave scatterings [G. Bimonte, T. Emig, Phys. Rev. A 108, 052807 (2023)]. The approach requires no knowledge of the scattering amplitude (T-matrix) of the bodies. Here we investigate the convergence properties of the MSE for the Casimir-Polder interaction of a polarizable particle with a macroscopic body. We consider representative materials from different classes, such as insulators, conductors and semiconductors. Using a sphere and a cylinder as benchmarks, we demonstrate that the MSE can be used to efficiently and accurately compute the Casimir-Polder interaction for bodies with smooth surfaces.