Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Time-domain interference in photo-double-ionization revealing nonseparable two-electron wavefunctions

Y. Hikosaka1,*, T. Kaneyasu2,3, S. Wada4, H. Ota5,2, M. Katoh6,2, and F. Koike7

  • *Contact author: hikosaka@las.u-toyama.ac.jp

Phys. Rev. Research 8, 033332 – Published 17 September, 2026

DOI: https://doi.org/10.1103/x7zf-dx8m

Abstract

We reveal interference patterns in photo-double-ionization spectra, produced by the interaction of argon atoms with an extreme-ultraviolet light wave packet in the form of a double pulse with variable pulse separation. These interference features provide direct evidence for nonseparable two-electron wavefunctions, an insight previously deemed beyond the reach of electron spectroscopy. This advance leverages the recently uncovered longitudinal coherence of undulator radiation, opening new avenues for attosecond-scale quantum interference experiments. The present undulator-based methodology is straightforwardly extendable into the x-ray regime, potentially offering a platform for investigating multielectron correlations associated with core-hole creation and decay.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (33)

  1. N. Chandra and M. Chakraborty, Entanglement in double photoionization of atoms, J. Phys. B 35, 2219 (2002).
  2. A. Einstein, B. Podolsky, and N. Rosen, Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777 (1935).
  3. J. S. Bell, On the Einstein Podolsky Rosen paradox, Physics 1, 195 (1964).
  4. N. Chandra and R. Ghosh, Generation of tunable entangled states of two electrons and their characterization without entanglement witness, Phys. Rev. A 70, 060306(R) (2004).
  5. N. Chandra and R. Ghosh, Entanglement in double photoionization of rotating linear molecules, Phys. Rev. A 69, 012315 (2004).
  6. M. Chakraborty and S. Sen, Determination of qubit entanglement in one-step double photoionization of helium atom, in Quantum Dots—Recent Advances, New Perspectives and Contemporary Applications, edited by J. Thirumalai (IntechOpen, London, 2023), Chap. 12.
  7. E. S. Fry, T. Walther, and S. Li, Proposal for a loophole-free test of the Bell inequalities, Phys. Rev. A 52, 4381 (1995).
  8. D. Akoury et al., The simplest double slit: Interference and entanglement in double photoionization of H2, Science 318, 949 (2007).
  9. K. Kreidi et al., Interference in the collective electron momentum in double photoionization of H2, Phys. Rev. Lett. 100, 133005 (2008).
  10. Y. Hikosaka, T. Kaneyasu, M. Fujimoto, H. Iwayama, and M. Katoh, Reply to ‘Comment on “Coherent control in the extreme ultraviolet and attosecond regime by synchrotron radiation”’, Nat. Commun. 12, 3782 (2021).
  11. T. Kaneyasu et al., Double-pulsed wave packets in spontaneous radiation from a tandem undulator, Sci. Rep. 12, 9682 (2022).
  12. Y. Hikosaka et al., Frequency-domain interferometry for the determination of time delay between two extreme-ultraviolet wave packets generated by a tandem undulator, Sci. Rep. 13, 10292 (2023).
  13. Y. Hikosaka, T. Kaneyasu, M. Fujimoto, H. Iwayama, and M. Katoh, Coherent control in the extreme ultraviolet and attosecond regime by synchrotron radiation, Nat. Commun. 10, 4988 (2019).
  14. T. Kaneyasu, Y. Hikosaka, M. Fujimoto, H. Iwayama, and M. Katoh, Controlling the orbital alignment in atoms using cross-circularly polarized extreme ultraviolet wave packets, Phys. Rev. Lett. 123, 233401 (2019).
  15. T. Kaneyasu, Y. Hikosaka, M. Fujimoto, H. Iwayama, and M. Katoh, Electron wave packet interference in atomic inner-shell excitation, Phys. Rev. Lett. 126, 113202 (2021).
  16. T. Kaneyasu et al., Time domain double slit interference of electron produced by XUV synchrotron radiation, Sci. Rep. 13, 6142 (2023).
  17. A. Palacios, T. N. Rescigno, and C. W. McCurdy, Two-electron time-delay interference in atomic double ionization by attosecond pulses, Phys. Rev. Lett. 103, 253001 (2009).
  18. T. Kaneyasu et al., Attosecond interferometry experiments at the tandem undulator beamline BL1U of UVSOR-III synchrotron, J. Phys. Conf. Ser. 3010, 012086 (2025).
  19. H. Ota et al., UVSOR synchrotron facility update, J. Phys. Conf. Ser. 2380, 012003 (2022).
  20. M. Katoh et al., Light source developments at UVSOR BL1U, J. Phys. Conf. Ser. 2687, 032005 (2024).
  21. Y. Hikosaka and E. Shigemasa, Metastability of carbonyl sulfide dications studied by multi-electron−ion coincidence spectroscopy, Int. J. Mass Spectrom. 439, 13 (2019).
  22. Y. Hikosaka, Multi-electron–ion coincidence spectrometer with a high-efficiency microchannel plate detector, J. Electron Spectrosc. Relat. Phenom. 255, 147158 (2022).
  23. Y. Hikosaka, A virtual stretch of light pulse interval by pulsed electron extraction introduced into a magnetic bottle electron spectrometer, Rev. Sci. Instrum. 90, 053105 (2019).
  24. J. H. D. Eland, O. Vieuxmaire, T. Kinugawa, P. Lablanquie, R. I. Hall, and F. Penent, Complete two-electron spectra in double photoionization: The rare gases Ar, Kr, and Xe, Phys. Rev. Lett. 90, 053003 (2003).
  25. A. Kramida, Y. Ralchenko, J. Reader, and NIST ASD Team, NIST Atomic Spectra Database (ver. 5.8), 2020, https://www.nist.gov/pml/atomic-spectra-database.
  26. M. Wollenhaupt et al., Interferences of ultrashort free electron wave packets, Phys. Rev. Lett. 89, 173001 (2002).
  27. M. Wollenhaupt et al., Tomographic reconstruction of designer free-electron wave packets, ChemPhysChem. 14, 1341 (2013).
  28. P. G. Burke, Potential Scattering in Atomic Physics (Springer, Berlin, 1977).
  29. J. Viefhaus, G. Snell, R. Hentges, M. Wiedenhöft, F. Heiser, O. Geßner, and U. Becker, Interference effects between Auger and photoelectron studied by subnatural linewidth Auger-photoelectron coincidence spectroscopy, Phys. Rev. Lett. 80, 1618 (1998).
  30. P. Lablanquie et al., Coster-Kronig decay of the Ar 2s hole observed by Auger-threshold photoelectron coincidence spectroscopy, Phys. Rev. Lett. 84, 47 (2000).
  31. N. Chandra and R. Ghosh, Einstein-Podolsky-Rosen-Bohm correlation in photoelectron–Auger-electron coincidence spectroscopy of atoms, Phys. Rev. A 74, 052329 (2006).
  32. C. Buth and K. J. Schafer, Ramsey method for Auger-electron interference induced by an attosecond twin pulse, Phys. Rev. A 91, 023419 (2015).
  33. Y. Hikosaka, Research data for the article “Time-domain interference in atomic double photoionization revealing non-separable two-electron wavefunctions” [Data set], Zenodo, 2025, https://doi.org/10.5281/zenodo.16916105.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation