Abstract
The induced transparency of opaque medium for resonant electromagnetic radiation is a powerful tool for manipulating the field-matter interaction. Various techniques to make different physical systems transparent for radiation from microwaves to x-rays were implemented. Most of them are based on the modification of the quantum-optical properties of the medium under the action of an external coherent electromagnetic field. Recently, an observation of acoustically induced transparency (AIT) of the 57Fe absorber for resonant 14.4-keV photons from the radioactive 57Co source was reported. About 150-fold suppression of the resonant absorption of photons due to collective acoustic oscillations of the nuclei was demonstrated. In this paper, we extend the AIT phenomenon to a novel phase-locked regime, when the transmitted photons are synchronized with the absorber vibration. We show that the advantages of synchrotron Mössbauer sources such as the deterministic periodic emission of radiation and controlled spectral-temporal characteristics of the emitted photons along with high-intensity photon flux in a tightly focused beam, make it possible to efficiently implement this regime, paving the way for the development of the acoustically controlled interface between hard x-ray photons and nuclear ensembles.
Highlights
The induced transparency of opaque medium for resonant electromagnetic radiation is a powerful tool for manipulating the field-matter interaction
We show that interference effects in the phase-locked regime of acoustically induced transparency (AIT) lead to a regular modulation of the photon waveform, which depends on the initial phase of the absorber vibration
We have extended the phenomenon of acoustically induced transparency (AIT) into the novel phase-locked regime, when the transmitted photons are synchronized with the absorber vibration
Summary
The AIT, similar to other effects of photon propagation in the vibrating resonant absorber, can be described on the basis of the same model and the same set of equations as in[6,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,44,45]. According to (Eq 4), in the vibrating reference frame, the field (Eqs. 1, 2) of a single-photon wave packet is seen by the nuclei as a frequency-modulated field, ES′ (t, z′ 0) = ES t−z′ c e−iωSC (t−z′ c)+iφ+ip sin ( t+θ),. At frequencies near nuclear resonance, the wings of the sidebands are absorbed and acquire a phase incursion during the field propagation This leads to incomplete transparency, accompanied by a decrease in the transmitted energy and distortions in the outgoing single-photon wave packet. The inverse Fourier transform of (Eq 9a) determines the temporal form of the single-photon wave packet behind the absorber in the vibrating reference frame, ES′ (Color online) Spectrum of the single-photon wave packet with Lorentz spectral shape, transmitted through the vibrating absorber under the AIT condition (Eq 7) in the absorber reference frame.
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