Measurement of the sub-nanometer vibration amplitudes using ⁵⁷Fe synchrotron Mössbauer source

The sub-nanometer amplitudes of the samples vibrated with high frequencies were measured by ⁵⁷Fe Mössbauer spectroscopy using a nuclear Bragg monochromator and focusing optics. The Mössbauer spectra of the vibrated single-line absorber showed comb-like absorption peaks, and the amplitudes of the absorbers were determined by the sideband intensities. We used the stainless-steel foil glued on the quartz crystal or the polyvinylidene fluoride (PVDF) film as samples. The mean value and the variance of the amplitude in sub-nanometer order were obtained for the irradiated area of 100 μm diameter in the sample. We could obtain the sub-nanometer amplitude with almost zero variance, using the ⁵⁷Fe synchrotron Mössbauer source and focusing optics for the PVDF film. The resonant absorber vibrated with high frequency and amplitude without variance is useful for the control of gamma rays. This work will advance X-ray quantum optics and quantum technology applications using a single gamma photon.