Modified and controllable dispersion interaction in a 1D waveguide geometry

Abstract

Dispersion interactions such as the van der Waals interaction between atoms or molecules derive from quantum fluctuations of the electromagnetic field and can be understood as the exchange of virtual photons between the interacting partners. Any modification of the environment in which those photons propagate will thus invariably lead to an alteration of the van der Waals interaction. Here we show how the two-body dispersion interaction inside a cylindrical waveguide can be made to decay asymptotically exponentially, and how this effect sensitively depends on the material properties and the length scales of the problem, eventually leading to the possibility of controllable interactions. Further, we discuss the possibility to detect the retarded van der Waals interaction by resonant enhancement of the interaction between Rydberg atoms in the light of long-range potentials due to guided modes.

9 pages, 6 figures

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• 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
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• Effect of boundaries on vacuum field fluctuations and radiation-mediated interactions between atoms
• Casimir forces in transmission-line circuits: QED and fluctuation-dissipation formalisms
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• Time-dependent resonance interaction energy between two entangled atoms under non-equilibrium conditions