Physics – Quantum Physics
Scientific paper
1997-10-03
Physics
Quantum Physics
Revised as submitted to PRL: (a) the predicted fluctuations are 8% larger, due to the correction of a minor algebraic error, (
Scientific paper
It is predicted that in force microscopy the quantum fluctuations responsible for the Casimir force can be directly observed as temperature-independent force fluctuations having spectral density $9\pi/(40\ln(4/e)) \hbar \delta k$, where $\hbar$ is Planck's constant and $\delta k$ is the observed change in spring constant as the microscope tip approaches a sample. For typical operating parameters the predicted force noise is of order $10^{-18}$ Newton in one Hertz of bandwidth. The Second Law is respected via the fluctuation-dissipation theorem. For small tip-sample separations the cantilever damping is predicted to increase as temperature is reduced, a behavior that is reminiscent of the Kondo effect.
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