Numerical Evaluation of the Casimir-Polder Interaction at Finite Temperature
Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube
Overview
Syllabus
Intro
An atom in front of a surface
Practical relevance
The limits of (semi-)analytical calculations
Numerical approaches to Casimir calculations
The discontinuous Galerkin time domain method
An example including dispersion and dissipation
The semi-analytical reference solution
Distance dependence of the Casimir-Polder interaction
The Casimir-Polder interaction energy
An intuitive interpretation of the Green tensor
From frequency domain to time domain
Numerical simulation of the dipole field
Postprocessing
Putting it all together
Reminder: Rubidium atom in front of a gold halfspace
Numerical simulation vs. reference solution
Convergence study
Beyond planar geometries
Zero-temperature Casimir-Polder force near a wedge
Summary
Taught by
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)