Impact of graphene coating on the atom-plate interaction

Abstract

Using the recently proposed quantum electrodynamical formalism, we calculate the Casimir-Polder free energies and forces between the ground state atoms of Rb, Na, Cs and He${}^{\ast }$ and the plates made of Au, Si, sapphire and fused silica coated with a graphene sheet. It is shown that the graphene coating has no effect on the Casimir-Polder interaction for metallic plates, but influences significantly for plates made of dielectric materials. The influence of graphene coating increases with decreasing static dielectric permittivity of the plate material and the characteristic frequency of an atomic dynamic polarizability. Simple analytic expressions for the classical limit of the Casimir-Polder free energy and force between an atom and a graphene-coated plate are obtained. From the comparison with the results of numerical computations, the application region of these expressions is determined.

16 pages, 6 figures

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• The electronic properties of graphene
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• Optical far-infrared properties of graphene monolayer and multilayers
• The optical conductivity of graphene in the visible region of the spectrum
• Measurement of the Temperature Dependence of the Casimir-Polder Force
• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
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• Retarded interactions in Graphene systems
• Van der Waals and Casimir interactions between two graphene sheets
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Advance and prospects in constraining the Yukawa-type corrections to Newtonian gravity from the Casimir effect
• Lifshitz theory of atom-wall interaction with applications to quantum reflection

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• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Casimir-Polder effect with thermally excited surfaces
• Casimir-Polder attraction and repulsion between nanoparticles and graphene in out-of-thermal-equilibrium conditions
• The Casimir effect in graphene systems: Experiment and theory
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• Nonperturbative theory of atom-surface interaction: Corrections at short separations
• Nonequilibrium Casimir-Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap
• Casimir-Polder Force on Atoms or Nanoparticles from the Gapped and Doped Graphene: Asymptotic Behavior at Large Separations
• Novel approaches to tailor and tune light-matter interactions at the nanoscale
• Large-Separation Behavior of the Casimir-Polder Force from Real Graphene Sheet Deposited on a Dielectric Substrate