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Coherent Storage and Phase Modulation of Single Hard-X-Ray Photons

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Coherent Control of Nuclei and X-Rays

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In this chapter, we change to another research direction of manipulating single hard x-ray photon via magnetically controlling nuclear dynamics.

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Notes

  1. 1.

    We neglect the two excited states \(|\frac{3}{2},-\frac{3}{2}\rangle \) and \(|\frac{3}{2},\frac{3}{2}\rangle \) which are not involved in the whole scattering process due to the polarization of the incident x-ray.

  2. 2.

    The choice of \(\varphi \) and \(T\) is not so strict. In the whole chapter we calculate the normalized time spectra \(\Omega (t,z)/\varphi \) which are \(\varphi \) independent under the condition of \(\varphi \ll \Gamma \). The pulse duration \(T\) is chosen such that \(T\ll 1/\Gamma \) to separate the pure nuclear response from the transient effects (equally, \(1/T\gg \Gamma \) to fit the situation of broadband excitation).

  3. 3.

    The initial phases of the nuclear currents are arbitrary, and we assume a zero phase for convenience. In the next section we will see that the absolute phase cannot be defined, and only the relative phase is meaningful.

  4. 4.

    This means that no coherent photon is emitted due to the destructive quantum interference. However, incoherent photons due to the spontaneous decay may still be emitted, limiting the time scale of coherent effects as mentioned before.

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  1. Theory Division, Max Planck Institute for Nuclear Physics, 69117, Heidelberg, Germany

    Wen-Te Liao

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Liao, WT. (2014). Coherent Storage and Phase Modulation of Single Hard-X-Ray Photons. In: Coherent Control of Nuclei and X-Rays. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-02120-1_4

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