Atoms in hollow-core fibers: a QED approach

We outline mechanical effects of light-matter interaction inside hollow-core optical fibers. Starting with quantized electromagnetic radiation, we demonstrate how dispersion, mode functions and losses define an open quantum system and how subsequent Langevin equations can be used to predict spatially-dependent vacuum forces. Conceptually, we reveal new, geometry-induced, forces that have no equivalence in unbounded 3D space and, practically, show how the general spatial dependence can be greatly approximated by free-space Ince-Gaussian modes: such that the forces can be described analytically. By also considering the effects of drive and fluctuations, we provide an extensive overview of both control and cooling within the limitations of a two-level atomic system.