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Physical Review A

γ -ray-pulse formation in a vibrating recoilless resonant absorber

V. A. Antonov, Yevgeny V. Radeonychev, Olga A. Kocharovskaya

Published Aug 21, 2015• 11 citations
Publisher

Abstract

We study propagation of $\ensuremath{\gamma}$ radiation from a M\"ossbauer radioactive source through a vibrating recoilless resonant absorber and find the optimal conditions to produce a periodic train of $\ensuremath{\gamma}$-ray pulses with maximum peak intensity, several times higher than the intensity from the source, and minimum duration, much shorter than the lifetime of the emitting nuclear state of the source. The shape, duration, and repetition rate of the pulses are tunable in a wide range. We propose modifications of the recently reported experiment [F. Vagizov et al., Nature (London) 508, 80 (2014)] to produce pulses with higher peak intensity and shorter duration using absorbers enriched by the resonant nuclei and discuss possible applications of the generated pulses for the time-domain M\"ossbauer spectroscopy.

DOI
10.1103/physreva.92.023841

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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 $^{57}\mathrm{Co}$ radioactive source into a regular train of pulses in a harmonically vibrating $^{57}\mathrm{Fe}$ 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.

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We study propagation of \ensuremathγ\ensuremath{\gamma}\ensuremathγ radiation from a M"ossbauer radioactive source through a vibrating recoilless resonant absorber and find the optimal conditions to produce a periodic train of \ensuremathγ\ensuremath{\gamma}\ensuremathγ-ray pulses with maximum peak intensity, several times higher than the intensity from the source, and minimum duration, much shorter than the lifetime of the emitting nuclear state of the source. The shape, duration, and repetition rate of the pulses are tunable in a wide range. We propose modifications of the recently reported experiment [F. Vagizov et al., Nature (London) 508, 80 (2014)] to produce pulses with higher peak intensity and shorter duration using absorbers enriched by the resonant nuclei and discuss possible applications of the generated pulses for the time-domain M"ossbauer spectroscopy.
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 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 for transforming the intensity of quasi-monochromatic recoilless radiation with a photon energy of 93.3 keV, emitted by radioactive Mössbauer sources 67Ga or 67Cu, into a sequence of short pulses with individually and independently controlled, on demand, the moments of appearance of pulses, as well as the peak intensity, duration and shape of each pulse. The technique is based on the transmission of recoilless (Mössbauer) 93.3-keV photons from the source through a medium containing resonantly absorbing 67Zn nuclei. The pulses are formed due to the rapid reciprocating movement of the source relative to the absorber at specified moments in time along the direction of photon propagation at a distance not exceeding half the radiation wavelength. The produced sequences of γ\gamma γ -ray pulses are similar to the digitization of information carried by electromagnetic waves. They can also be used to develop Mösbauer spectroscopy of the atomic and subatomic structures, as well as open novel opportunities for γ\gamma γ -ray quantum optics.
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 propose a technique of ultra-short $\ensuremath{\gamma}$-ray pulses production with a pulse duration much less than the natural lifetime of a nucleus excited state. The technique is based on compression of frequency modulated radiation of a Mossbauer source while propagating in a far-detuned resonant absorber. Numerical estimates for 57Fe{}^{57}\mathrm{Fe}57Fe 14.413 keV nuclear resonance energy show feasibility of experimental realization of the technique
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.