Quantum friction in the Hydrodynamic Model

Abstract

We study the phenomenon of quantum friction in a system consisting of a polarizable atom moving at a constant speed parallel to a metallic plate. The metal is described using a charged hydrodynamic model for the electrons. This model featuring long-range interactions is appropriate for a clean metal in a temperature range where scattering due to Coulomb interactions dominates over the scattering of electron by impurities. We find that a quantum friction force between the atom and the metal surface exists even in the absence of intrinsic damping in the metal, but that it only starts once the velocity of the atom exceeds the effective speed of sound in the metal. We argue that this condition can be fulfilled most easily in metals with nearly empty or nearly filled bands. We make quantitative predictions for the friction force to the second and fourth order in the atomic polarizability, and show that the threshold behavior persists to all orders of the perturbation theory.

arXiv comment10 pages, 3 figures

References in corpus (14)

• The Casimir effect: Recent controversies and progress
• Quantum friction and fluctuation theorems
• Resonant photon tunneling enhancement of the van der Waals friction
• The Reality of Casimir Friction
• Repulsive Casimir force between Weyl semimetals
• Friction forces on atoms after acceleration
• Quantum friction between graphene sheets
• Nonequilibrium Thermodynamics of Quantum Friction
• Casimir force between Weyl semimetals in a chiral medium
• Spatial dispersion in atom-surface quantum friction
• Topological quantum friction
• Functional approach to quantum friction: effective action and dissipative force
• Spectroscopic signatures of quantum friction
• Dissipation and decoherence effects on a moving particle in front of a dielectric plate