Precision Measurement of the Casimir Force from 0.1 to 0.9 microns

Abstract

We have used an atomic force microscope to make precision measurements of the Casimir force between a metallized sphere of diameter 196 microns and flat plate. The force was measured for plate-sphere separations from 0.1 to 0.9 microns. The experimental results are consistent with present theoretical calculations including the finite conductivity, roughness, and temperature corrections. The root mean square average deviation of 1.6 pN between theory and experiment corresponds to a 1% deviation at the smallest separation.

Minor changes in text and figures; references added

References in corpus (2)

• Zeta Functions and the Casimir Energy
• The Mechanical Response of Vacuum

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• Understanding Zero-Point Energy in the Context of Classical Electromagnetism
• Semiclassical Estimates of Electromagnetic Casimir Self-Energies of Spherical and Cylindrical Metallic Shells
• Vacuum local and global electromagnetic self-energies for a point-like and an extended field source
• Lorentz violation and Gravitoelectromagnetism: Casimir effect and Stefan-Boltzmann law at Finite temperature
• The Casimir effect for fields with arbitrary spin
• Inhomogeneity-related cutoff dependence of the Casimir energy and stress
• Casimir Effect and Holographic Dual of Wedges
• Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior
• Casimir effect in the scattering approach: correlations between material properties, temperature and geometry
• Scaling Symmetries of Scatterers of Classical Zero-Point Radiation
• Casimir-Lifshitz Interaction between Dielectric Heterostructures
• Asymptotically simple spacetimes and mass loss due to gravitational waves
• Casimir micro-sphere diclusters and three-body effects in fluids
• Casimir effect, loop corrections and topological mass generation for interacting real and complex scalar fields in Minkowski spacetime with different conditions
• The Aladin2 experiment: status and perspectives
• Gedanken experiments with Casimir forces, vacuum energy, and gravity
• Sensing Dispersive and Dissipative Forces by an Optomechanical Cavity
• Magnetically induced vacuum decay
• Perturbative Roughness Corrections to Electromagnetic Casimir Energies
• Casimir effect with machine learning
• Giant Enhancement of Vacuum Friction in Spinning YIG Nanospheres
• Fully retarded van der Waals interaction between dielectric nanoclusters
• A mathematical analysis of Casimir interactions I: The scalar field
• Low temperature Casimir-Lifshitz free energy and entropy: the case of poor conductors
• Action of the gravitational field on the dynamical Casimir effect
• Classical Physics of Thermal Scalar Radiation in Two Spacetime Dimensions
• Internal Consistency of Neutron Coherent Scattering Length Measurements from Neutron Interferometry and from Neutron Gravity Reflectometry for Exotic Yukawa Analyses
• Novel Casimir wormholes in Einstein gravity
• Casimir self-stress in a dielectric sphere
• First-order correction to the Casimir force within an inhomogeneous medium
• Revisiting regularization with Kaluza-Klein states and Casimir vacuum energy from extra dimensional spaces
• Real or Not Real that is the question
• A torsion balance for probing a non-standard force in the sub-micrometre range
• Quantum vacuum fluctuations
• Casimir-like tunneling-induced electronic forces
• Noncommutative Complex Scalar Field and Casimir Effect
• Casimir Forces via Worldline Numerics: Method Improvements and Potential Engineering Applications
• Fluid Mechanical and Electrical Fluctuation Forces in Colloids
• On a possible method of Casimir pressure renormalization in a ball
• The Casimir force in noncommutative Randall-Sundrum models
• Computing the Casimir energy using the point-matching method
• Acoustic Casimir Pressure for Arbitrary Media
• On the Temperature Dependence of the Casimir Force for Bulk Lossy Media
• TFD formalism: applications to the scalar field in a Lorentz-violating theory
• The Casimir force between parallel plates in Randall-Sundrum I model
• Production of Fock Mixtures in Trapped Ions for Motional Metrology
• Searching for New Fundamental Interactions via Isotopic Shifts in Molecular Lattice Clocks
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
• Scaling, Scattering, and Blackbody Radiation in Classical Physics
• On the accuracy of the PFA: analogies between Casimir and electrostatic forces
• Casimir free energy for massive fermions: a comparative study of various approaches
• Is the Free Vacuum Energy Infinite?
• Implications of the Babinet Principle for Casimir Interactions
• Casimir interaction of arbitrarily shaped conductors
• Casimir force between surfaces close to each other
• Casimir Energy in (2 + 1)-Dimensional Field Theories
• A Field Theoretic Approach to Roughness Corrections
• Extracting energies from the vacuum
• Probing Gravitational Cat States in Canonical Quantum Theory vs Objective Collapse Theories
• Lamb shift of interactive electron-hole pairs in spherical semiconductor quantum dots
• Statistical approach to Casimir-Polder potentials in heterogeneous media
• Near-field dynamical Casimir effect
• Bound of Casimir Effect by Holography
• Casimir Effect for Quantum Field theory in Networks
• Lamb shift of non-degenerate energy level systems placed between two infinite parallel conducting plates
• Amplification phenomena of Casimir force fluctuations on close scatterers coupled via a coherent fermionic fluid
• Casimir interaction of concentric spheres at finite temperature
• The Casimir effect for a massless spin-3/2 field in Minkowski spacetime
• Creation of entangled atomic states by an analogue of the Dynamical Casimir Effect
• Generalized Schlömilch's formulas and thermal Casimir effect of a fermionic rectangular box
• Investigation into Compactified Dimensions: Casimir Energies and Phenomenological Aspects
• Dirac's Classical-Quantum Analogy for the Harmonic Oscillator: Classical Aspects in Thermal Radiation Including Zero-Point Radiation
• Dependence of Electrostatic Patch Force Evaluation on the Lateral Resolution of Kelvin Probe Force Microscopy
• Two-dimensional Lorentz-violating Casimir effect
• How to strengthen constraints on non-Newtonian gravity from measuring the lateral Casimir force
• Electrically switchable Casimir forces using transparent conductive oxides
• Curved traversable wormholes in (3+1)-dimensional spacetime
• Non-analytic behavior of the Casimir force across a Lifshitz transition in a spin-orbit coupled material
• Spacetime Conformal Fluctuations and Quantum Dephasing
• Can the dynamical Lamb effect be observed in a superconducting circuit?
• UV sensitivity of Casimir energy
• Magnetic Anistropy due to the Casimir Effect
• Casimir effect for a spherical shell in de Sitter spacetime with signature change
• Saturation effects in experiments on the thermal Casimir effect
• Casimir-Polder force density between an atom and a conducting wall
• The Casimir effect for parallel plates at finite temperature in the presence of one fractal extra compactified dimension
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• The Role of Quantum Vacuum Forces in Microelectromechanical Systems
• On the corrections to the Casimir effect depending on the resolution of measurement
• Quantum vacuum effects in non-relativistic quantum field theory
• Distinguishing models of surface response through the self-energy of an electron
• Thermally Excited Quasiparticles in Metals, Dispersion Forces, and the Thermal Anomaly
• Gravitational spectral shift caused by Casimir stresses
• Variations of the Lifshitz-van der Waals force between metals immersed in liquids
• Quantum Brownian motion induced by fluctuating boundaries and compactification
• Fluctuating Forces Induced by Non Equilibrium and Coherent Light Flow
• Retarded resonance Casimir-Polder interaction of a uniformly rotating two-atom system
• Universal lower bound on orbital periods around central compact objects
• Enhanced sensing of non-Newtonian effects at ultrashort range with exceptional points in optomechanical systems
• Precision studies of Casimir force and short-range gravity employing prototypes of interferometric gravitational wave detectors
• Spectral Functions in QFT
• Is repulsive Casimir force physical?
• Notes on a New Philosophy of Empirical Science
• Thermal Casimir effect for a Dirac field on flat space with a nontrivial circular boundary condition
• From Ramanujan to renormalization: the art of doing away with divergences and arriving at physical results
• Constraints on Non-Newtonian Gravity from Recent Casimir Force Measurements
• Casimir effect for a Bose-Einstein condensate inside a cylindrical tube
• Analytical theory for the crossover from retarded to non-retarded interactions between metal plates
• Quantum friction and graphene
• One-Loop Correction to the Casimir Energy in Lorentz-Violating ${\varphi }^4$ Theory with Rough Membrane Boundaries
• Torsion Balance Investigation of the Casimir Effect
• Frequency-dependent Drude damping in Casimir force calculations
• The Casimir effect at finite temperature in a six-dimensional vortex scenario
• Casimir Force in Non-Planar Geometric Configurations
• Massive fermion between two parallel chiral plates
• Measuring the Casimir-Polder potential with Unruh-DeWitt detector excitations
• Quantum forces in cavities
• Casimir effect: Edges and diffraction
• A generalized bag-like boundary condition for fields with arbitrary spin
• Casimir probe based upon metallized high Q SiN nanomembrane resonator
• Casimir effect for the sphere revisited
• Temperature effect in the Casimir attraction of a thin metal film
• From Brownian motion formalism to fluctuation-induced force in a general fluctuating medium
• Casimir-Lifshitz pressure on cavity walls
• Casimir-Lifshitz interaction between bodies integrated in a microelectromechanical/nanoelectromechanical quantum damped oscillator
• Building a Casimir Metrology Platform with a Commercial MEMS Accelerometer
• Fermionic Casimir effect in the presence of compact dimension in field theory with Lorentz invariance violation
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions
• Finite temperature Casimir effect for a spinor field in cosmic dispiration spacetime
• The proximity force approximation for the Casimir energy of plate-sphere and sphere-sphere systems in the presence of one extra compactified universal dimension
• Thermal Casimir effect in $\kappa$-Minkowski space-time
• The Casimir-Lifshitz formula for rectangular dielectric waveguide
• Casimir Torque in Inhomogeneous Dielectric Plates
• Lattice Fermionic Casimir effect in a Slab Bag and Universality
• New Resonant Bivacuum Mediated Interaction, as a Possible Explanation of Psi Phenomena
• Tangential Casimir force in the misaligned system: Magnetic media, real conductors, and a torque
• On the Shape Dependence of the Tangential Casimir Force
• Recent Experiments on the Casimir Effect: Description and Analysis
• What are the Hidden Quantum Processes In Einstein's Weak Principle of Equivalence?
• Radiation properties of an oscillating atom in the presence of external fields
• Corrected Proximity-Force Approximation for Lateral Casimir Forces