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Gravitational and relativistic deflection of X-ray superradiance

Nature Photonics volume 9, pages 169–173 (2015)Cite this article

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Abstract

Einstein predicted that clocks at different altitudes tick at various rates under the influence of gravity. This effect has been observed using 57Fe Mössbauer spectroscopy over an elevation of 22.5 m (ref. 1) or by comparing accurate optical clocks at different heights on a submetre scale2. However, challenges remain in finding novel methods for the detection of gravitational and relativistic effects on more compact scales. Here, we investigate a scheme that potentially allows for millimetre- to submillimetre-scale studies of the gravitational redshift by probing a nuclear crystal with X-rays. Also, a rotating crystal can force interacting X-rays to experience inhomogeneous clock tick rates within it. We find that an association of gravitational redshift and special-relativistic time dilation with quantum interference is manifested by a time-dependent deflection of X-rays. The scheme suggests a table-top solution for probing gravitational and special-relativistic effects, which should be within the reach of current experimental technology3,4,5.

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Figure 1: Superradiant single photon.
Figure 2: Gravitational deflection of X-ray superradiance.
Figure 3: X-ray superradiance under the influence of special relativity.

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Acknowledgements

The authors thank C.H. Keitel, A. Pálffy, Z. Harman, E. Yakaboylu, S.M. Cavaletto, C. O'Brien, K. Heeg, M. Gärttner, T. Babinec, P. Hemmer and A. Svidzinsky for valuable discussions.

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  1. Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, Heidelberg, D-69117, Germany

    Wen-Te Liao & Sven Ahrens

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  1. Wen-Te Liao
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  2. Sven Ahrens
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W.-T.L. and S.A. contributed equally to this work.

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Correspondence to Wen-Te Liao.

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The authors declare no competing financial interests.

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Liao, WT., Ahrens, S. Gravitational and relativistic deflection of X-ray superradiance. Nature Photon 9, 169–173 (2015). https://doi.org/10.1038/nphoton.2015.7

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