Dispersion forces inside metallic waveguides

Abstract

We consider the dispersion energy of a pair of dipoles embedded in a metallic waveguide with transverse dimension $a$ smaller than the characteristic dipolar wavelength. We find that $a$ sets the scale that separates retarded, Casimir-Polder-like, from quasistatic, van der Waals-like, interactions. Whereas in the retarded regime, the energy decays exponentially with inter-dipolar distance, typical of evanescent waves, in the van der Waals regime, the known free-space result is obtained. This short-range scaling implies that the additivity of the dispersion interactions inside a waveguide extends to denser media, along with modifications to related Casimir effects in such structures.

8 pages, 4 figures

References in corpus (4)

• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Lateral Casimir force beyond the Proximity Force Approximation
• Nonradiative interaction and entanglement between distant atoms
• Exact Casimir interaction between eccentric cylinders

Cited by in corpus (15)

• Performance limits of multilevel and multipartite quantum heat machines
• Giant vacuum forces via transmission lines
• Van der Waals interactions between excited atoms in generic environments
• Modified and controllable dispersion interaction in a 1D waveguide geometry
• Resonance energy transfer between two atoms in a conducting cylindrical waveguide
• Dispersion Interaction between Two Hydrogen Atoms in a Static Electric Field
• Sub-radiant states for imperfect quantum emitters coupled by a nanophotonic waveguide
• Spontaneous emission of an atom near an oscillating mirror
• The influence of a surface in the non-retarded interaction between two atoms
• Coupling of $c=-2$ and $c=\frac{1}{2}$ and $c=0$ conformal field theories: The geometrical point of view
• Effect of Curvature and Confinement on the Casimir-Polder Interaction
• Casimir forces in transmission-line circuits: QED and fluctuation-dissipation formalisms
• Collective spontaneous emission of two entangled atoms near an oscillating mirror
• The field induced magnetic dipolar interaction for general boundary conditions
• Magnetic dipole-dipole interaction induced by the electromagnetic field