Lateral Casimir-Polder force with corrugated surfaces
arXiv:0710.5249 · doi:10.1088/1751-8113/41/16/164028
Abstract
We derive the lateral Casimir-Polder force on a ground state atom on top of a corrugated surface, up to first order in the corrugation amplitude. Our calculation is based on the scattering approach, which takes into account nonspecular reflections and polarization mixing for electromagnetic quantum fluctuations impinging on real materials. We compare our first order exact result with two commonly used approximation methods. We show that the proximity force approximation (large corrugation wavelengths) overestimates the lateral force, while the pairwise summation approach underestimates it due to the non-additivity of dispersion forces. We argue that a frequency shift measurement for the dipolar lateral oscillations of cold atoms could provide a striking demonstration of nontrivial geometrical effects on the quantum vacuum.
12 pages, 6 figures, contribution to QFEXT07 proceedings
References in corpus (26)
- Precision Measurement of the Casimir Force from 0.1 to 0.9 microns
- Measurement of the Casimir force between parallel metallic surfaces
- Measurement of the Temperature Dependence of the Casimir-Polder Force
- Measurement of the Casimir force between dissimilar metals
- Template-stripped gold surfaces with 0.4 nm rms roughness suitable for force measurements. Application to the Casimir force in the 20-100 nm range
- Impact of the Casimir-Polder Potential and Johnson Noise on Bose-Einstein Condensate Stability near Surfaces
- Demonstration of the Lateral Casimir Force
- Measurement of the Casimir-Polder force through center-of-mass oscillations of a Bose-Einstein condensate
- The Casimir effect within scattering theory
- Casimir interaction between a plate and a cylinder
- Quantum reflection of atoms from a solid surface at normal incidence
- Experimental Observation of Quantum Reflection in the High Energy Limit
- Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
- Normal and Lateral Casimir Forces between Deformed Plates
- Low velocity quantum reflection of Bose-Einstein condensates
- Experimental and Theoretical Investigation of the Lateral Casimir Force Between Corrugated Surfaces
- Casimir effect with rough metallic mirrors
- Lateral Casimir force beyond the Proximity Force Approximation
- Exact Casimir interaction between eccentric cylinders
- Roughness correction to the Casimir force : Beyond the Proximity Force Approximation
- Towards a precision measurement of the Casimir force in a cylinder-plane geometry
- Geometry and Spectrum of Casimir Forces
- Exact zero-point interaction energy between cylinders
- Probing quantum vacuum geometrical effects with cold atoms
- The lateral Casimir force beyond the proximity force approximation: a nontrivial interplay between geometry and quantum vacuum
- Lateral Casimir-Polder force with corrugated surfaces
Cited by in corpus (18)
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- Critical adsorption and critical Casimir forces for geometrically structured confinements
- Coherent reflection of He atom beams from rough surfaces at near-grazing incidence
- Lateral Casimir-Polder force with corrugated surfaces
- Casimir energy and geometry : beyond the Proximity Force Approximation
- Lateral Casimir-Polder forces by breaking time-reversal symmetry
- Disorder in quantum vacuum: Casimir-induced localization of matter waves
- Bragg spectroscopy for measuring Casimir-Polder interactions with Bose-Einstein condensates above corrugated surfaces
- Inhomogeneity-Induced Casimir Transport of Nanoparticles
- Quantum propulsion and trapping of nano-objects by inhomogeneity-induced lateral Casimir forces
- Nonequilibrium Casimir-Polder plasmonic interactions
- Peak, valley and intermediate regimes in the lateral van der Waals force
- Driving quantized vortices with quantum vacuum fluctuations
- Sign inversion in the lateral van der Waals force
- Regimes of the lateral van der Waals force in the presence of dielectrics
- Sympathetic laser-cooling of graphene with Casimir-Polder forces