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Erlangen 2022 – scientific programme

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SYQC: Symposium Quantum Cooperativity of Light and Matter

SYQC 2: Quantum Cooperativity of Light and Matter - Session 2

SYQC 2.3: Talk

Thursday, March 17, 2022, 14:45–15:00, Audimax

Propagation of ultrashort pulses in resonant X-ray waveg- uides — •Petar Andrejić1, Leon Merten Lohse2,3, and Adriana Pálffy11Friedrich-Alexander Universität Erlangen-Nürnberg — 2Deutsches Elektronen-Synchrotron — 3Georg-August-Universität Göttingen

Thin film structures are a well established and powerful platform for coupling and control of X-rays with resonant Mössbauer nuclei. Existing formalisms describe well the collective nuclear response in grazing incidence experiments, including for inhomogeneous hyperfine splittings [1], however, these formalisms assume long duration, well collimated synchrotron pulses, such that the problem can be considered quasi-monochromatic, with uniform amplitude.

Here, we show that ultrashort X-ray pulses coupled into to a thin film waveguide can propagate as guided modes over millimetre scale distances. The guided wave spectrum and spatial profiles are obtainable using the existing Green’s function formalism. The coupling of the guided modes to the resonant nuclei embedded within the waveguide leads to a set of first order, few-mode Maxwell-Bloch equations, from which we obtain the transmission spectra of the waveguide. We discuss the properties of these spectra, including the role of the resonant nuclei in coupling otherwise orthogonal guided modes to each other, as well as the connection with the super-radiance decay and the collective Lamb shift previously observed in grazing incidence.

[1] P. Andrejić and A. Pálffy, Phys. Rev. A 104, 033702 (2021)

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