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Collective Nuclear Excitation and Pulse Propagation in Single-Mode X-Ray Waveguides

Leon M. Lohse1,2,3,*, Petar Andrejić4, Sven Velten2,3, Malte Vassholz1, Charlotte Neuhaus1, Ankita Negi2,3, Anjali Panchwanee3, Ilya Sergeev3, Adriana Pálffy5 et al.

Tim Salditt1 and Ralf Röhlsberger6,7,8,2,3

  • *Contact author: llohse@uni-goettingen.de

Phys. Rev. Lett. 135, 053601 – Published 30 July, 2025

DOI: https://doi.org/10.1103/r2hf-9qn9

Abstract

Waveguides offer a means to controllably couple atomic ensembles to the electromagnetic field therein. Here, we demonstrate x-ray propagation in planar thin-film waveguides coupled to Mössbauer nuclei under collective resonant excitation by short pulses of synchrotron radiation. We record x-ray photons that have been emitted into resonant modes of the waveguide. Depending on the geometry and mode of excitation, two fundamentally different signatures of the collective emission are observed, for which we present a unifying theoretical model. Our results form a new platform for waveguide quantum electrodynamics in the hard x-ray regime with the potential to provide a coherent narrow band source of x-rays on the nanometer scale.

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References (49)

  1. R. H. Dicke, Coherence in spontaneous radiation processes, Phys. Rev. 93, 99 (1954).
  2. M. O. Scully, E. S. Fry, C. H. Raymond Ooi, and K. Wódkiewicz, Directed spontaneous emission from an extended ensemble of N atoms: Timing is everything, Phys. Rev. Lett. 96, 010501 (2006).
  3. J. H. Eberly, Emission of one photon in an electric dipole transition of one among N atoms, J. Phys. B 39, S599 (2006).
  4. M. O. Scully, Collective Lamb shift in single photon Dicke superradiance, Phys. Rev. Lett. 102, 143601 (2009).
  5. M. O. Scully and A. A. Svidzinsky, The super of superradiance, Science 325, 1510 (2009).
  6. A. A. Svidzinsky, J.-T. Chang, and M. O. Scully, Cooperative spontaneous emission of N atoms: Many-body eigenstates, the effect of virtual Lamb shift processes, and analogy with radiation of N classical oscillators, Phys. Rev. A 81, 053821 (2010).
  7. J. T. Manassah, Cooperative radiation from atoms in different geometries: Decay rate and frequency shift, Adv. Opt. Photonics 4, 108 (2012).
  8. A. Asenjo-Garcia, J. D. Hood, D. E. Chang, and H. J. Kimble, Atom-light interactions in quasi-one-dimensional nanostructures: A Green’s-function perspective, Phys. Rev. A 95, 033818 (2017).
  9. P. Solano, P. Barberis-Blostein, F. K. Fatemi, L. A. Orozco, and S. L. Rolston, Super-radiance reveals infinite-range dipole interactions through a nanofiber, Nat. Commun. 8, 1857 (2017).
  10. J. Kumlin, K. Kleinbeck, N. Stiesdal, H. Busche, S. Hofferberth, and H. P. Büchler, Nonexponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide, Phys. Rev. A 102, 063703 (2020).
  11. R. Pennetta, M. Blaha, A. Johnson, D. Lechner, P. Schneeweiss, J. Volz, and A. Rauschenbeutel, Collective radiative dynamics of an ensemble of cold atoms coupled to an optical waveguide, Phys. Rev. Lett. 128, 073601 (2022).
  12. S. Cardenas-Lopez, P. Solano, L. A. Orozco, and A. Asenjo-Garcia, Optical precursors in waveguide quantum electrodynamics, Phys. Rev. Res. 5, 013133 (2023).
  13. D. Su, Y. Jiang, S. Cardenas-Lopez, A. Asenjo-Garcia, P. Solano, L. A. Orozco, and Y. Zhao, Dynamical beats of short pulses in waveguide QED, Phys. Rev. Res. 5, L042041 (2023).
  14. A. M. Afanas’ev and Y. Kagan, Radiation of a system of excited nuclei in a crystal, JETP Lett. 2, 130 (1965).
  15. E. Gerdau, R. Rüffer, H. Winkler, W. Tolksdorf, C. P. Klages, and J. P. Hannon, Nuclear Bragg diffraction of synchrotron radiation in yttrium iron garnet, Phys. Rev. Lett. 54, 835 (1985).
  16. U. van Bürck, R. L. Mössbauer, E. Gerdau, R. Rüffer, R. Hollatz, G. V. Smirnov, and J. P. Hannon, Nuclear Bragg scattering of synchrotron radiation with strong speedup of coherent decay, measured on antiferromagnetic Fe57BO3, Phys. Rev. Lett. 59, 355 (1987).
  17. Y. V. Shvyd’ko and G. V. Smirnov, Experimental study of time and frequency properties of collective nuclear excitations in a single crystal (gamma-ray resonance), J. Phys. Condens. Matter 1, 10563 (1989).
  18. J. P. Hannon and G. T. Trammell, Coherent γ-ray optics, Hyperfine Interact. 123–124, 127 (1999).
  19. G. V. Smirnov, General properties of nuclear resonant scattering, Hyperfine Interact. 123–124, 31 (1999).
  20. U. van Bürck, Coherent pulse propagation through resonant media, Hyperfine Interact. 123–124, 483 (1999).
  21. R. Röhlsberger, K. Schlage, T. Klein, and O. Leupold, Accelerating the spontaneous emission of x rays from atoms in a cavity, Phys. Rev. Lett. 95, 097601 (2005).
  22. R. Röhlsberger, K. Schlage, B. Sahoo, S. Couet, and R. Rüffer, Collective Lamb shift in single-photon superradiance, Science 328, 1248 (2010).
  23. J. Haber, X. Kong, C. Strohm, S. Willing, J. Gollwitzer, L. Bocklage, R. Rüffer, A. Pálffy, and R. Röhlsberger, Rabi oscillations of x-ray radiation between two nuclear ensembles, Nat. Photonics 11, 720 (2017).
  24. A. I. Chumakov, A. Q. R. Baron, I. Sergueev, C. Strohm, O. Leupold, Y. Shvyd’ko, G. V. Smirnov, R. Rüffer, Y. Inubushi, M. Yabashi, K. Tono, T. Kudo, and T. Ishikawa, Superradiance of an ensemble of nuclei excited by a free electron laser, Nat. Phys. 14, 261 (2017).
  25. R. Röhlsberger, Nuclear Condensed Matter Physics with Synchrotron Radiation, Springer Tracts in Modern Physics (Springer, Berlin; Heidelberg, 2005).
  26. R. Röhlsberger and J. Evers, Quantum optical phenomena in nuclear resonant scattering, in Modern Mössbauer Spectroscopy, Topics in Applied Physics, edited by Y. Yoshida and G. Langouche (Springer, Singapore, 2021), pp. 105–171.
  27. B. W. Adams, Nuclear γ-ray superradiance, J. Mod. Opt. 56, 1974 (2009).
  28. Y. Kagan, A. M. Afanas’ev, and V. G. Kohn, On excitation of isomeric nuclear states in a crystal by synchrotron radiation, J. Phys. C 12, 615 (1979).
  29. G. V. Smirnov, U. van Bürck, J. Arthur, G. S. Brown, A. I. Chumakov, A. Q. R. Baron, W. Petry, and S. L. Ruby, Currents and fields reveal the propagation of nuclear polaritons through a resonant target, Phys. Rev. A 76, 043811 (2007).
  30. A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakinskiy, and A. N. Poddubny, Waveguide quantum electrodynamics: Collective radiance and photon-photon correlations, Rev. Mod. Phys. 95, 015002 (2023).
  31. C. Fuhse, A. Jarre, C. Ollinger, J. Seeger, T. Salditt, and R. Tucoulou, Front-coupling of a prefocused x-ray beam into a monomodal planar waveguide, Appl. Phys. Lett. 85, 1907 (2004).
  32. Y. P. Feng, S. K. Sinha, H. W. Deckman, J. B. Hastings, and D. P. Siddons, X-ray flux enhancement in thin-film waveguides using resonant beam couplers, Phys. Rev. Lett. 71, 537 (1993).
  33. P. Andrejić, L. M. Lohse, and A. Pálffy, Waveguide QED with Mössbauer nuclei, Phys. Rev. A 109, 063702 (2024).
  34. L. M. Lohse and P. Andrejić, Nano-optical theory of planar x-ray waveguides, Opt. Express 32, 9518 (2024).
  35. M. Osterhoff and T. Salditt, Coherence filtering of x-ray waveguides: Analytical and numerical approach, New J. Phys. 13, 103026 (2011).
  36. See Supplemental Material at http://link.aps.org/supplemental/10.1103/r2hf-9qn9, which includes Refs. [33–35,37–40], for more information on the theoretical model, sample design, experimental setup, and data analysis.
  37. S. P. Krüger, H. Neubauer, M. Bartels, S. Kalbfleisch, K. Giewekemeyer, P. J. Wilbrandt, M. Sprung, and T. Salditt, Sub-10 nm beam confinement by x-ray waveguides: Design, fabrication and characterization of optical properties, J. Synchrotron Radiat. 19, 227 (2012).
  38. T. Gruner and D.-G. Welsch, Green-function approach to the radiation-field quantization for homogeneous and inhomogeneous Kramers-Kronig dielectrics, Phys. Rev. A 53, 1818 (1996).
  39. R. Röhlsberger, Theory of x-ray grazing incidence reflection in the presence of nuclear resonance excitation, Hyperfine Interact. 123–124, 301 (1999).
  40. L. Bocklage, Nexus - Nuclear Elastic X-ray scattering Universal Software (v1.2.0), Zenodo (2024), 10.5281/zenodo.13832946.
  41. H.-C. Wille, H. Franz, R. Röhlsberger, W. A. Caliebe, and F.-U. Dill, Nuclear resonant scattering at PETRA III: Brillant opportunities for nano—and extreme condition science, J. Phys. Conf. Ser. 217, 012008 (2010).
  42. T. Salditt, S. P. Krüger, C. Fuhse, and C. Bähtz, High-transmission planar x-ray waveguides, Phys. Rev. Lett. 100, 184801 (2008).
  43. B. Sahoo, K. Schlage, J. Major, U. von Hörsten, W. Keune, H. Wende, and R. Röhlsberger, Preparation and characterization of ultrathin stainless steel films, in AIP Conference Proceedings (AIP, New York, 2011), Vol. 1347.
  44. Y. V. Shvyd’ko, Nuclear resonant forward scattering of x rays: Time and space picture, Phys. Rev. B 59, 9132 (1999).
  45. K. P. Heeg and J. Evers, X-ray quantum optics with Mössbauer nuclei embedded in thin-film cavities, Phys. Rev. A 88, 043828 (2013).
  46. D. Lentrodt, K. P. Heeg, C. H. Keitel, and J. Evers, Ab initio quantum models for thin-film x-ray cavity QED, Phys. Rev. Res. 2, 023396 (2020).
  47. D. Lentrodt, O. Diekmann, C. H. Keitel, S. Rotter, and J. Evers, Certifying multimode light-matter interaction in lossy resonators, Phys. Rev. Lett. 130, 263602 (2023).
  48. R. Friedberg and J. T. Manassah, Eigenfunctions and eigenvalues in superradiance with x-y translational symmetry, Phys. Lett. A 372, 2787 (2008).
  49. L. M. Lohse, S. Velten, C. Neuhaus, A. Negi, A. Panchwanee, I. Sergeev, T. Salditt, and R. Röhlsberger, Experimental Data for: Collective nuclear excitation and pulse propagation in single-mode x-ray waveguides, GRO.data V2 (2025), 10.25625/F8CRVT.

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