The Casimir-Polder interaction between atoms and hollow-core fibers

TL;DR

This paper investigates the Casimir-Polder interaction between atoms and hollow-core cylindrical fibers, emphasizing the influence of shell thickness and material properties, and providing numerical and analytical tools for understanding and controlling this quantum force.

Contribution

It introduces a novel numerical scheme and analytical analysis for the Casimir-Polder interaction in hollow-core fiber geometries, highlighting the role of shell thickness as a control parameter.

Findings

Shell thickness significantly affects the Casimir-Polder potential.

The numerical scheme efficiently evaluates interactions across various parameters.

Material properties alter the potential, distinguishing ohmic and non-ohmic conductors.

Abstract

The Casimir-Polder force acts on polarizable particles due to quantum fluctuations of the electromagnetic field that are modified by the presence of material bodies. We investigate the Casimir-Polder interaction for atoms near cylindrical fibers with hollow cores. This geometry represents one of the archetypal configurations encountered in numerous experimental setups designed to control and manipulate atoms in fundamental and quantum technological applications. Specifically, we analyze how the interplay of both geometrical and material-related length scales characterize the interaction, emphasizing the impact of the shell thickness. We develop a flexible and fast-converging numerical scheme for evaluating the interaction over a wide range of atom-cylinder separations at both zero and finite temperature. Furthermore, we provide a detailed analytical investigation of how various material properties modify the Casimir-Polder potential. Finally, we analyze and discuss a number of limiting cases and compare numerical computations with corresponding analytical asymptotic expressions. In particular, in this geometry the Casimir-Polder potential is able to distinguish between an ohmic and non-ohmic description of conductors. One of the most significant outcomes of our work is that the shell thickness emerges as a useful parameter for controlling the interaction, opening avenues for both fundamental physics and applications in quantum technologies.