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

Two-photon-assisted collisions in ultracold gases of polar molecules II: Two-photon optical shielding

Gohar Hovhannesyan1,*, Charbel Karam2, Romain Vexiau1, Leon Karpa3, Maxence Lepers2, Nadia Bouloufa-Maafa1, and Olivier Dulieu1

  • *Contact author: gohar.hovhannesyan@cnrs.fr; ghovhannesyan4@gmail.com

Phys. Rev. Research 8, 033200 – Published 18 August, 2026

DOI: https://doi.org/10.1103/1gx3-4ql5

Abstract

We theoretically investigate the collisions between ultracold polar molecules in the presence of two lasers ensuring a Raman resonant transition on individual molecules to suppress photon scattering, taking the example of bosonic Na23K39 molecules. By varying laser detunings and intensities, we enable a repulsive long-range interaction potential between molecules. After solving a set of coupled Schrödinger equations with the Hamiltonian written in the basis of laser-dressed states of the molecule pair at infinite distance, we identify quasiresonant conditions under which elastic collisions are favored over inelastic and reactive ones, by a factor of about 2, thus demonstrating a promising pathway for efficient two-photon optical shielding of ultracold molecular collisions. The results are analyzed in terms of scattering length of the colliding laser-dressed molecules, which exhibit prominent resonances assigned to the interaction of the entrance channel with other specific channels, consistent with the existence of a quasibound level of the long-range molecular pair induced by the lasers.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (52)

  1. S. Haroche, Laser, offspring and powerful enabler of quantum science, PRX Quantum 6, 010102 (2025).
  2. J. Doyle, B. Friedrich, R. Krems, and F. Masnou-Seeuws, Quo vadis, cold molecules, Eur. Phys. J. D 31, 149 (2004).
  3. L. D. Carr and J. Ye, Focus on cold and ultracold molecules, New J. Phys. 11, 055009 (2009).
  4. O. Dulieu and C. Gabbanini, Formation and interactions of cold and ultracold molecules: New challenges for interdisciplinary physics, Rep. Prog. Phys. 72, 086401 (2009).
  5. G. Quéméner and P. S. Julienne, Ultracold molecules under control, Chem. Rev. 112, 4949 (2012).
  6. S. A. Moses, J. P. Covey, M. T. Miecnikowski, D. S. Jin, and J. Ye, New frontiers for quantum gases of polar molecules, Nat. Phys. 13, 13 (2017).
  7. J. L. Bohn, A. M. Rey, and J. Ye, Cold molecules: Progress in quantum engineering of chemistry and quantum matter, Science 357, 1002 (2017).
  8. Z. Shi, Z. Huang, F. Deng, W.-J. Jin, S. Yi, T. Shi, and D. Wang, Bose-Einstein condensate of ultracold sodium-rubidium molecules with tunable dipolar interactions, arXiv:2508.20518.
  9. T. Karman, M. Tomza, and J. Pérez-Ríos, Ultracold chemistry as a testbed for few-body physics, Nat. Phys. 20, 722 (2024).
  10. S. L. Cornish, M. R. Tarbutt, and K. R. Hazzard, Quantum computation and quantum simulation with ultracold molecules, Nat. Phys. 20, 730 (2024).
  11. D. DeMille, N. R. Hutzler, A. M. Rey, and T. Zelevinsky, Quantum sensing and metrology for fundamental physics with molecules, Nat. Phys. 20, 741 (2024).
  12. D. Sardar, A. Christianen, H. Li, and J. L. Bohn, Four-body singlet potential-energy surface for reactions of calcium monofluoride, Phys. Rev. A 107, 032822 (2023).
  13. Y. Liu and K.-K. Ni, Bimolecular chemistry in the ultracold regime, Annu. Rev. Phys. Chem. 73, 73 (2022).
  14. S. Ospelkaus, K.-K. Ni, D. Wang, M. H. G. de Miranda, B. Neyenhuis, G. Quéméner, P. S. Julienne, J. Bohn, D. S. Jin, and J. Ye, Quantum state controlled chemical reactions of ultracold potassium-rubidium molecules, Science 327, 853 (2010).
  15. T. Takekoshi, L. Reichsöllner, A. Schindewolf, J. M. Hutson, C. R. L. Sueur, O. Dulieu, F. Ferlaino, R. Grimm, and H.-C. Nägerl, Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state, Phys. Rev. Lett. 113, 205301 (2014).
  16. P. K. Molony, P. D. Gregory, Z. Ji, B. Lu, M. P. Köppinger, C. R. Le Sueur, C. L. Blackley, J. M. Hutson, and S. L. Cornish, Creation of ultracold Rb87Cs133 molecules in the rovibrational ground state, Phys. Rev. Lett. 113, 255301 (2014).
  17. P. D. Gregory, M. D. Frye, J. A. Blackmore, E. M. Bridge, R. Sawant, J. M. Hutson, and S. L. Cornish, Sticky collisions of ultracold RbCs molecules, Nat. Commun. 10, 3104 (2019).
  18. J. W. Park, S. A. Will, and M. W. Zwierlein, Ultracold dipolar gas of Fermionic Na23K40 molecules in their absolute ground state, Phys. Rev. Lett. 114, 205302 (2015).
  19. M. Mayle, G. Quéméner, B. P. Ruzic, and J. L. Bohn, Scattering of ultracold molecules in the highly resonant regime, Phys. Rev. A 87, 012709 (2013).
  20. R. Bause, A. Christianen, A. Schindewolf, I. Bloch, and X.-Y. Luo, Ultracold sticky collisions: Theoretical and experimental status, J. Phys. Chem. A 127, 729 (2023).
  21. A. V. Avdeenkov, M. Kajita, and J. L. Bohn, Suppression of inelastic collisions of polar Σ1 state molecules in an electrostatic field, Phys. Rev. A 73, 022707 (2006).
  22. D. Wang, E. E. Eyler, P. L. Gould, and W. C. Stwalley, State-selective detection of near-dissociation ultracold KRb X1Σ+ and a3Σ+ molecules, Phys. Rev. A 72, 032502 (2005).
  23. M. L. González-Martínez, J. L. Bohn, and G. Quéméner, Adimensional theory of shielding in ultracold collisions of dipolar rotors, Phys. Rev. A 96, 032718 (2017).
  24. J.-R. Li, W. G. Tobias, K. Matsuda, C. Miller, G. Valtolina, L. D. Marco, R. R. Wang, L. Lassablière, G. Quéméner, J. L. Bohn, and J. Ye, Tuning of dipolar interactions and evaporative cooling in a three-dimensional molecular quantum gas, Nat. Phys. 17, 1144 (2021).
  25. B. Mukherjee, M. D. Frye, C. R. Le Sueur, M. R. Tarbutt, and J. M. Hutson, Shielding collisions of ultracold CaF molecules with static electric fields, Phys. Rev. Res. 5, 033097 (2023).
  26. L. Lassablière and G. Quéméner, Controlling the scattering length of ultracold dipolar molecules, Phys. Rev. Lett. 121, 163402 (2018).
  27. T. Karman and J. M. Hutson, Microwave shielding of ultracold polar molecules, Phys. Rev. Lett. 121, 163401 (2018).
  28. L. Anderegg, S. Burchesky, Y. Bao, S. S. Yu, T. Karman, E. Chae, K.-K. Ni, W. Ketterle, and J. M. Doyle, Observation of microwave shielding of ultracold molecules, Science 373, 779 (2021).
  29. A. Schindewolf, R. Bause, X.-Y. Chen, M. Duda, T. Karman, I. Bloch, and X.-Y. Luo, Evaporation of microwave-shielded polar molecules to quantum degeneracy, Nature (London) 607, 677 (2022).
  30. N. Bigagli, C. Warner, W. Yuan, S. Zhang, I. Stevenson, T. Karman, and S. Will, Collisionally stable gas of bosonic dipolar ground state molecules, Nat. Phys. 19, 1579 (2023).
  31. T. Xie, M. Lepers, R. Vexiau, A. Orbán, O. Dulieu, and N. Bouloufa-Maafa, Optical shielding of destructive chemical reactions between ultracold ground-state NaRb molecules, Phys. Rev. Lett. 125, 153202 (2020).
  32. T. Xie, A. Orbán, X. Xing, E. Luc-Koenig, R. Vexiau, O. Dulieu, and N. Bouloufa-Maafa, Engineering long-range interactions between ultracold atoms with light, J. Phys. B: At. Mol. Opt. Phys. 55, 034001 (2022).
  33. S. Bali, D. Hoffmann, and T. Walker, Novel intensity dependence of ultracold collisions involving repulsive states, Europhys. Lett. 27, 273 (1994).
  34. L. Marcassa, S. Muniz, E. de Queiroz, S. Zilio, V. Bagnato, J. Weiner, P. S. Julienne, and K. A. Suominen, Optical suppression of photoassociative ionization in a magneto-optical trap, Phys. Rev. Lett. 73, 1911 (1994).
  35. K.-A. Suominen, K. Burnett, P. S. Julienne, M. Walhout, U. Sterr, C. Orzel, M. Hoogerland, and S. L. Rolston, Ultracold collisions and optical shielding in metastable xenon, Phys. Rev. A 53, 1678 (1996).
  36. D. Hoffmann, S. Bali, and T. Walker, Trap-depth measurements using ultracold collisions, Phys. Rev. A 54, R1030 (1996).
  37. C. Karam, R. Vexiau, N. Bouloufa-Maafa, O. Dulieu, M. Lepers, M. M. z. A. Borgloh, S. Ospelkaus, and L. Karpa, Two-photon optical shielding of collisions between ultracold polar molecules, Phys. Rev. Res. 5, 033074 (2023).
  38. C. Karam, G. Hovhannesyan, R. Vexiau, M. Lepers, N. Bouloufa-Maafa, and O. Dulieu, Two-photon-assisted collisions in ultracold gases of polar molecules, Phys. Rev. A 112, 043317 (2025).
  39. C. Karam, Optical shielding of ultracold polar-molecule collisions, Ph.D. thesis, Université Paris-Saclay, 2024.
  40. T. Li, M.-J. Lu, and J. D. Weinstein, Electromagnetically induced transparency in an open multilevel system, Phys. Rev. A 84, 023801 (2011).
  41. J. Aldegunde and J. M. Hutson, Hyperfine structure of alkali-metal diatomic molecules, Phys. Rev. A 96, 042506 (2017).
  42. Note that in Ref. [31], the Rabi frequency Ω1 was at least 3 times smaller, while only the s, p, and d waves were involved in the scattering calculations.
  43. M. H. Alexander and D. E. Manolopoulos, A stable linear reference potential algorithm for solution of the quantum close‐coupled equations in molecular scattering theory, J. Chem. Phys. 86, 2044 (1987).
  44. V. Kokoouline, O. Dulieu, R. Kosloff, and F. Masnou-Seeuws, Mapped Fourier methods for long-range molecules: Application to perturbations in the Rb2(0u+) photoassociation spectrum, J. Chem. Phys. 110, 9865 (1999).
  45. K. Willner, O. Dulieu, and F. Masnou-Seeuws, Mapped grid methods for long-range molecules and cold collisions, J. Chem. Phys. 120, 548 (2004).
  46. G. Wang and G. Quéméner, Tuning ultracold collisions of excited rotational dipolar molecules, New J. Phys. 17, 035015 (2015).
  47. A. V. Avdeenkov and J. L. Bohn, Linking ultracold polar molecules, Phys. Rev. Lett. 90, 043006 (2003).
  48. X.-Y. Chen, A. Schindewolf, S. Eppelt, R. Bause, M. Duda, S. Biswas, T. Karman, T. Hilker, I. Bloch, and X.-Y. Luo, Field-linked resonances of polar molecules, Nature (London) 614, 59 (2023).
  49. X.-Y. Chen, S. Biswas, S. Eppelt, A. Schindewolf, F. Deng, T. Shi, S. Yi, T. A. Hilker, I. Bloch, and X.-Y. Luo, Ultracold field-linked tetratomic molecules, Nature (London) 626, 283 (2024).
  50. L. Lassabliere, Collisions of ultracold dipolar molecules controlled by electric and electromagnetic fields, Ph.D. thesis, Université Paris-Saclay, 2021.
  51. J. Dutta, B. Mukherjee, and J. M. Hutson, Universality in the microwave shielding of ultracold polar molecules, Phys. Rev. Res. 7, 023164 (2025).
  52. A. Devolder, T. V. Tscherbul, and P. Brumer, Leveraging reactant entanglement in the coherent control of ultracold bimolecular chemical reactions, Phys. Rev. Lett. 135, 233401 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation