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The correlation of the gamma ray waveform with the vibration phase of the resonant absorber

Hiroyuki Yamashita, Shinji Kitao, Yasuhiro Kobayashi, Makoto Seto

Published Nov 21, 2024• 1 citation
Publisher
DOI
10.1007/s10751-024-02214-3

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Abstract The transformation of exponentially decaying waveform (the time dependence of detection probability) of a Mössbauer γ -ray photon into a regular sequence of short nearly bandwidth-limited pulses in a vibrating recoilless resonant absorber is studied. The case of dual-tone vibration at the fundamental frequency and its second harmonic under experimentally feasible conditions is considered. We show that this technique allows one to shorten pulses and increase the ratio of pulse separation to pulse length as well as to enlarge pulse amplitude compared to the pulses produced in harmonically vibrating absorber. The obtained results pave the way to the development of the time-resolved Mössbauer γ -ray spectroscopy and manipulation of quantum information in hard x-ray/ γ -ray range.
We report a method for coherent control of γ-photons, enabling the shaping of γ-ray intensity in nearly arbitrary waveforms. Different intensity waveforms are created by adjusting the motion profile of a resonant absorber (an ensemble of Mössbauer nuclei) and tuning the energy of the incident radiation. A crucial aspect of this method is the use of a low fundamental frequency of vibrations, which broadens the possibilities for γ-ray control. The results of numerical simulations are experimentally validated by generating single and double γ-pulses and inducing short-term absorption. For this, a resonant absorber containing 57Fe nuclei was vibrated with different motion profiles composed of 12 harmonics with a fundamental frequency of 1 MHz. The proposed technique represents an advancement in the manipulation of γ-rays, and potentially x rays, paving the way for the performance of unique types of γ-ray or x-ray quantum experiments and the development of tools such as adjustable table-top γ-pulse sources or γ-ray or x-ray delays and gates. Moreover, inverse application of the method enables investigation of motion at the picometer scale.