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  • Letter
  • Open Access

Vibrationally coupled Rydberg atom-ion molecules

Ilango Maran1, Liam J. Bond2,3, Jeremy T. Young3, Arghavan Safavi-Naini2,3, and Rene Gerritsma1,2

  • 1Van der Waals-Zeeman Institute, Institute of Physics, University of Amsterdam, 1098 XH Amsterdam, The Netherlands
  • 2QuSoft, Science Park 123, 1098 XG Amsterdam, The Netherlands
  • 3Institute for Theoretical Physics, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands

Phys. Rev. Research 7, L022028 – Published 2 May, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022028

Abstract

We study the occurrence of Rydberg atom-ion molecules (RAIMs) in a hybrid atom-ion system with an ion crystal trapped in a Paul trap coupled to Rydberg atoms on its either ends. To assess the feasibility of such a system, we perform a detailed Floquet analysis of the effect of the Paul trap's rf potential on the RAIMs and provide a qualitative analysis of the survival probability based on scaling laws. We conclude that the RAIM survives for sufficiently weak and low-frequency traps. We then use this hybrid system and propose a scheme to utilize the common motional modes of the ion crystal to suppress (blockade) or enhance (antiblockade) the probability of forming two RAIMs at the ends of the chain, replacing the typical blockade radius by the length of the ion crystal.

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References (21)

  1. A. Duspayev, X. Han, M. A. Viray, L. Ma, J. Zhao, and G. Raithel, Long-range Rydberg-atom–ion molecules of Rb and Cs, Phys. Rev. Res. 3, 023114 (2021).
  2. M. Deiß, S. Haze, and J. Hecker Denschlag, Long-range atom–ion Rydberg molecule: A novel molecular binding mechanism, Atoms 9, 34 (2021).
  3. N. Zuber, V. S. V. Anasuri, M. Berngruber, Y.-Q. Zou, F. Meinert, R. Löw, and T. Pfau, Observation of a molecular bond between ions and Rydberg atoms, Nature (London) 605, 453 (2022).
  4. Y.-Q. Zou, M. Berngruber, V. S. V. Anasuri, N. Zuber, F. Meinert, R. Löw, and T. Pfau, Observation of vibrational dynamics of orientated Rydberg-atom-ion molecules, Phys. Rev. Lett. 130, 023002 (2023).
  5. Y. Hahn, Polarizability of Rydberg atoms and the dominant long-range interaction, Phys. Rev. A 62, 042703 (2000).
  6. T. Secker, R. Gerritsma, A. W. Glaetzle, and A. Negretti, Controlled long-range interactions between Rydberg atoms and ions, Phys. Rev. A 94, 013420 (2016).
  7. T. Secker, N. Ewald, J. Joger, H. Fürst, T. Feldker, and R. Gerritsma, Trapped ions in Rydberg-dressed atomic gases, Phys. Rev. Lett. 118, 263201 (2017).
  8. F. Engel, T. Dieterle, T. Schmid, C. Tomschitz, C. Veit, N. Zuber, R. Löw, T. Pfau, and F. Meinert, Observation of Rydberg blockade induced by a single ion, Phys. Rev. Lett. 121, 193401 (2018).
  9. S. Haze, J. Wolf, M. Deiß, L. Wang, G. Raithel, and J. H. Denschlag, Stark spectroscopy of Rydberg atoms in an atom-ion hybrid trap, arXiv:1901.11069.
  10. N. V. Ewald, T. Feldker, H. Hirzler, H. Fürst, and R. Gerritsma, Observation of interactions between trapped ions and ultracold Rydberg atoms, Phys. Rev. Lett. 122, 253401 (2019).
  11. S. Mudli, S. Mal, S. S. Rej, A. Dey, and B. Deb, Ion-mediated interaction and controlled phase gate operation between two atomic qubits, Phys. Rev. A 110, 062618 (2024).
  12. M. Müller, L. Liang, I. Lesanovsky, and P. Zoller, Trapped Rydberg ions: From spin chains to fast quantum gates, New J. Phys. 10, 093009 (2008).
  13. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022028 for calculations of the Potential energy curves of the RAIMs and the wavefunction overlap integrals, discussion on the effects of the second ion and the axial trap on the RAIM and details about the different scaling laws used in the Landau-Zener Stuckleberg interferometry analysis.
  14. E. Robertson, N. Šibalić, R. Potvliege, and M. Jones, Arc 3.0: An expanded Python toolbox for atomic physics calculations, Comput. Phys. Commun. 261, 107814 (2021).
  15. C. S. E. van Ditzhuijzen et al., Dipole-dipole interaction between cold Rydberg atoms, Ph.D. thesis, Universiteit van Amsterdam, Amsterdam, 2009.
  16. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, Quantum dynamics of single trapped ions, Rev. Mod. Phys. 75, 281 (2003).
  17. S. Shevchenko, S. Ashhab, and F. Nori, Landau–Zener–Stückelberg interferometry, Phys. Rep. 492, 1 (2010).
  18. T. Gallagher, Rydberg Atoms, Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press, Cambridge, United Kingdom, 1994).
  19. G. Morigi and H. Walther, Two-species Coulomb chains for quantum information, Eur. Phys. J. D 13, 261 (2001).
  20. J. P. Home, Chapter 4 - quantum science and metrology with mixed-species ion chains, Adv. At. Mol. Opt. Phys. 62, 231 (2013).
  21. P. Doria, T. Calarco, and S. Montangero, Optimal control technique for many-body quantum dynamics, Phys. Rev. Lett. 106, 190501 (2011).

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