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Photonics

Compression of the Synchrotron Mössbauer X-ray Photon Waveform in an Oscillating Resonant Absorber

I. R. Khairulin, Yevgeny V. Radeonychev, Olga A. Kocharovskaya

Published Nov 4, 2022• 2 citations
Publisher

Abstract

A technique to transform the waveform of a 14.4 keV photon (time dependence of the photon detection probability or, equivalently, the intensity of the single-photon wave packet) into a regular sequence of short, nearly bandwidth-limited pulses with a controlled number of pulses is proposed. It is based on coherent forward scattering of single X-ray photons from a synchrotron Mössbauer source (SMS) in an optically thick, vibrating, recoilless 57Fe resonant absorber. The possibility of compressing the waveform of an SMS photon into a single short bell-shaped pulse is predicted. The experiment is proposed for compressing a 100 ns duration 14.4 keV single-photon wave packet produced by SMS at the European Synchrotron Radiation Facility (ESRF) into a single bell-shaped pulse of less than 20 ns duration and more than twice the peak intensity. Such single-photon coherent pulses are promising for applications in the fast-developing field of X-ray quantum optics, including possible implementation of quantum memory.

DOI
10.3390/photonics9110829

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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.

Journal of Physics B Atomic Molecular and Optical Physics•Oct 25, 2018•9 citations
A technique to transform the waveform of a 14.4 keV photon (time dependence of the photon detection probability or, equivalently, the intensity of the single-photon wave packet) into a regular sequence of short, nearly bandwidth-limited pulses with a controlled number of pulses is proposed. It is based on coherent forward scattering of single X-ray photons from a synchrotron Mössbauer source (SMS) in an optically thick, vibrating, recoilless 57Fe resonant absorber. The possibility of compressing the waveform of an SMS photon into a single short bell-shaped pulse is predicted. The experiment is proposed for compressing a 100 ns duration 14.4 keV single-photon wave packet produced by SMS at the European Synchrotron Radiation Facility (ESRF) into a single bell-shaped pulse of less than 20 ns duration and more than twice the peak intensity. Such single-photon coherent pulses are promising for applications in the fast-developing field of X-ray quantum optics, including possible implementation of quantum memory.
We propose a technique that makes it possible to transform the intensity of a quasimonochromatic single-photon wave packet, emitted by a radioactive M\"ossbauer \ensuremath{\gamma}-ray source, into a sequence of short bursts with an arbitrary number of bursts, including a single burst. In addition, the technique allows one to individually and independently control, on demand, the moments of the burst appearance, as well as the peak intensity, duration, and shape of each burst in the sequence. The technique is based on the transmission of M\"ossbauer (recoilless) photons through a resonantly absorbing medium, which is rapidly displaced at some moments of time relative to the source (or vice versa) along the photon propagation direction at a distance less than the photon wavelength, and returned to its original position. The burst duration can be comparable to the duration of the single-photon pulses that are produced by synchrotrons but have the controlled spectral-temporal characteristics. We show that the proposed technique can be implemented on the basis of currently available equipment with the use of 14.4-keV recoilless photons, emitted by a 57Co^{57}\mathrm{Co}57Co source and a 57Fe^{57}\mathrm{Fe}57Fe absorber, which opens up prospects for its applications in M\"ossbauer spectroscopy and x-ray quantum optics.
We propose a technique that makes it possible to transform the intensity of a quasi-monochromatic single-photon wave packet, emitted by a radioactive Mössbauer gamma-ray source, into a sequence of short bursts with an arbitrary number of bursts, including a single burst. In addition, the technique allows one to individually and independently control, on demand, the moments of the burst appearance, as well as the peak intensity, duration and shape of each burst in the sequence. The technique is based on the transmission of Mössbauer (recoilless) photons through a resonantly absorbing medium, which is rapidly displaced at some moments of time relative to the source (or vice versa) along the photon propagation direction at a distance less than the photon wavelength, and returned to its original position. The burst durations can be comparable to the duration of the single-photon pulses produced by synchrotrons but have the controlled spectral-temporal characteristics. We show that the proposed technique can be implemented on the basis of currently available equipment with use of 14.4-keV recoilless photons, emitted by Co-57 source, and Fe-57 absorber, which opens up prospects for its applications in Mössbauer spectroscopy and x-ray quantum optics.
Abstract Recently, an observation of acoustically induced transparency (AIT) of a stainless-steel foil for resonant 14.4-keV photons from a radioactive 57Co Mössbauer source due to collective uniform oscillations of atomic nuclei was reported [Phys Rev Lett 124,163602, 2020]. In this paper, we propose to use the steep resonant dispersion of the absorber within the AIT spectral window to dramatically reduce a propagation velocity of γ-ray and x-ray photons. In particular, we show that a significant fraction (more than 40%) of a 97-ns γ-ray single-photon wave packet from a 57Co radioactive source can be slowed down up to 3 m/s and delayed by 144 ns in a 57Fe-enriched stainless-steel foil at room temperature. We also show that a similarly significant slowing down up to 24 m/s and a delay by 42 ns can be achieved for more than 70% of the 100-ns 14.4-keV x-ray single-photon pulse from a synchrotron Mössbauer source available at European Synchrotron Radiation Facility (ESRF) and Spring-8 facility. The propagation velocity can be widely controlled by changing the absorber vibration frequency. Achieving the propagation velocity on the order of 1–50 m/s would set a record in the hard x-ray range, comparable to what was obtained in the optical range.
Recently, an exponentially decaying waveform (the time dependence of detection probability) of a M\"ossbauer \ensuremath{\gamma}-ray photon was transformed into a regular sequence of short pulses in a sinusoidally vibrating recoilless resonant absorber [F. Vagizov, V. Antonov, Y. V. Radeonychev, R. N. Shakhmuratov, and O. Kocharovskaya, Coherent control of the waveforms of recoilless \ensuremath{\gamma}-photons, Nature (London) 508, 80 (2014)]. In the present paper, we show that the peak amplitude of the pulses can be considerably increased via joint adjustment of optical depth of the absorber and the initial phase of its vibration. This is due to reduction of the photoelectric absorption and maximizing the constructive temporal interference of spectral content of the single-photon wave packet in an optically deep absorber. The ultimate capabilities for transforming a waveform of a 14.4-keV photon from a 57Co^{57}\mathrm{Co}57Co radioactive source into a regular train of pulses in a harmonically vibrating 57Fe^{57}\mathrm{Fe}57Fe recoilless resonant absorber are discussed. We show that the shortest pulse duration, produced by this technique, is limited by the highest available vibration frequency of a piezoelectric transducer and at present can be as short as 7.7 ps. The maximum achievable detection probability of the transformed photon at the experimentally feasible conditions is more than two times higher than peak detection probability of the photon emitted by the source and nearly 5.5 times higher than obtained in the above reference.
We theoretically investigate a scheme for the generation of single hard-x-ray pulses of controllable duration in the range of 1–100 ns from a radioactive Mössbauer source. The scheme uses a magnetically perturbed 57FeBO3 crystal illuminated with recoilless 14.4-keV photons from a 57Co radioisotope nuclide. Such a compact x-ray source is useful for the extension of quantum optics to the 10-keV energy scale, which has been in the spotlight in recent years. So far, experimental achievements have mostly been attained in synchrotron radiation facilities. However, the use of tabletop and portable hard-x-ray sources for time-resolved measurements and for implementing coherent control over nuclear quantum-optics systems has still been limited. The availability of compact hard-x-ray sources may become the engine for the application of quantum-information schemes down to the subatomic scale. We demonstrate that the present method is versatile and provides an economic solution, utilizing a Mössbauer source, to perform time-resolved nuclear scattering, to produce suitable pulses for photon storage, and to flexibly generate x-ray single-photon entanglement.
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.