The Casimir-Polder effect for a stack of conductive planes

Abstract

The Casimir-Polder interaction between an atom and a multilayered system composed of infinitely thin planes is considered using the zeta-function regularization approach with summation of the zero-point energies. As a prototype material, each plane is represented by a graphene sheet whose optical response is described by a constant conductivity or Drude-Lorentz model conductivity. Asymptotic expressions for various separations are derived and compared to numerical calculations. We distinguish between large atom/plane limit, where retardation effects are prominent, and small atom/plane limit, where the typical van der Waals coefficient is found to be dependent on the number of graphenes and characteristic distances. The calculated energies for different atoms and graphene conductivity models brings forward the basic science of the Casimir-Polder effect and suggests ways to manipulate this interaction experimentally.

9p, Sent to PRA

References in corpus (8)

• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Universal dynamical conductance in graphite
• Space-time dispersion of graphene conductivity
• Tuning quantum fluctuations with an external magnetic field: Casimir-Polder interaction between an atom and a graphene sheet
• Emending thermal dispersion interactions of Li, Na, K and Rb alkali metal-atoms with graphene in the Dirac model
• Impact of graphene coating on the atom-plate interaction
• Electromagnetic normal modes and Casimir effects in layered structures
• Casimir energy for surfaces with constant conductivity

Cited by in corpus (32)

• The quest for Casimir repulsion between Chern-Simons surfaces
• Influence of chemical potential on the Casimir-Polder interaction between an atom and gapped graphene or graphene-coated substrate
• Experimental and theoretical investigation of the thermal effect in the Casimir interaction from graphene
• Thermal Casimir and Casimir-Polder interactions in $N$ parallel 2D Dirac materials
• How to observe the giant thermal effect in the Casimir force for graphene systems
• Thermal effect in the Casimir force for graphene and graphene-coated substrates: Impact of nonzero mass gap and chemical potential
• Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom
• Casimir and Casimir-Polder Forces in Graphene Systems: Quantum Field Theoretical Description and Thermodynamics
• Kramers-Kronig relations and causality conditions for graphene in the framework of the Dirac model
• Quantum field theoretical description of the Casimir effect between two real graphene sheets and thermodynamics
• Casimir-Polder force and torque for anisotropic molecules close to conducting planes and their effects on CO${}_2$
• The Nernst heat theorem for an atom interacting with graphene: Dirac model with nonzero energy gap and chemical potential
• Low-temperature behavior of the Casimir-Polder free energy and entropy for an atom interacting with graphene
• The Casimir effect for fermionic currents in conical rings with applications to graphene ribbons
• Casimir-Polder attraction and repulsion between nanoparticles and graphene in out-of-thermal-equilibrium conditions
• The low temperature behavior the Casimir-Polder energy for conductive plane
• Casimir-Polder Interaction of an Atom with a Cavity Wall Made of Phase-Change Material out of Thermal Equilibrium
• Probing topological phase transitions via quantum reflection in the graphene family materials
• The low-temperature expansion of the Casimir-Polder free energy of an atom with graphene
• Graphene may help to solve the Casimir conundrum in indium tin oxide systems
• Tuning quantum reflection in graphene with an external magnetic field
• The Casimir effect for stack of graphenes
• Impact of Mass-Gap on the Dispersion Interaction of Nanoparticles with Graphene out of Thermal Equilibrium
• The Casimir Force between Two Graphene Sheets: 2D Fresnel Reflection Coefficients, Contributions of Different Polarizations, and the Role of Evanescent Waves
• The normal Casimir force for lateral moving planes with isotropic conductivities
• Casimir effect for fermion condensate in conical rings
• Nonequilibrium Casimir-Polder Force between Nanoparticles and Graphene-Coated Silica Plate: Combined Effect of the Chemical Potential and Mass Gap
• Casimir-Polder interaction with Chern-Simons boundary layers
• Reflectance of graphene-coated dielectric plates in the framework of Dirac model: Joint action of energy gap and chemical potential
• Casimir-Polder Force on Atoms or Nanoparticles from the Gapped and Doped Graphene: Asymptotic Behavior at Large Separations
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Controlling the atom-sphere interaction with an external electric field