Force on a neutral atom near conducting microstructures

Abstract

We derive the non-retarded energy shift of a neutral atom for two different geometries. For an atom close to a cylindrical wire we find an integral representation for the energy shift, give asymptotic expressions, and interpolate numerically. For an atom close to a semi-infinite halfplane we determine the exact Green's function of the Laplace equation and use it derive the exact energy shift for an arbitrary position of the atom. These results can be used to estimate the energy shift of an atom close to etched microstructures that protrude from substrates.

7 pages, 5 figures

References in corpus (1)

• Resonator-Aided Single-Atom Detection on a Microfabricated Chip

Cited by in corpus (26)

• The Casimir force between real materials: experiment and theory
• Casimir-Polder interaction between a polarizable particle and a plate with a hole
• Casimir-Polder repulsion near edges: wedge apex and a screen with an aperture
• Wading through the void: Exploring quantum friction and nonequilibrium fluctuations
• Retarded Casimir-Polder force on an atom near reflecting microstructures
• Field theoretic description of partially reflective surfaces
• Casimir-Polder interaction between an atom and a dielectric slab
• Interaction of a hydrogenlike ion with a planar topological insulator
• Image method in the calculation of the van der Waals force between an atom and a conducting surface
• Repulsive van der Waals interaction between a quantum particle and a conducting toroid
• Manipulating the Coulomb interaction: A Green's function perspective
• Force of light on a two-level atom near an ultrathin optical fiber
• Finite size effects and non-additivity in the van der Waals interaction
• Peak, valley and intermediate regimes in the lateral van der Waals force
• The influence of a surface in the non-retarded interaction between two atoms
• Sign inversion in the lateral van der Waals force
• Interaction of an atom with layered dielectrics
• Exact Casimir-Polder potentials: interaction of an atom with a conductor-patched dielectric surface
• Regimes of the lateral van der Waals force in the presence of dielectrics
• Sign inversion in the lateral van der Waals force between an anisotropic particle and a plane with a hemispherical protuberance: an exact calculation
• Sommerfeld's image method in the calculation of van der Waals forces
• Material Dependence of the Wire-Particle Casimir Interaction
• Novel approaches to tailor and tune light-matter interactions at the nanoscale
• Distinguishing models of surface response through the self-energy of an electron
• Interaction of atomic quantum gases with a single carbon nanotube
• Long range magnetic dipole-dipole interaction mediated by a superconductor