- Open Access
Two-photon-assisted collisions in ultracold gases of polar molecules II: Two-photon optical shielding
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 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.
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References (52)
- S. Haroche, Laser, offspring and powerful enabler of quantum science, PRX Quantum 6, 010102 (2025).
- J. Doyle, B. Friedrich, R. Krems, and F. Masnou-Seeuws, Quo vadis, cold molecules, Eur. Phys. J. D 31, 149 (2004).
- L. D. Carr and J. Ye, Focus on cold and ultracold molecules, New J. Phys. 11, 055009 (2009).
- O. Dulieu and C. Gabbanini, Formation and interactions of cold and ultracold molecules: New challenges for interdisciplinary physics, Rep. Prog. Phys. 72, 086401 (2009).
- G. Quéméner and P. S. Julienne, Ultracold molecules under control, Chem. Rev. 112, 4949 (2012).
- 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).
- J. L. Bohn, A. M. Rey, and J. Ye, Cold molecules: Progress in quantum engineering of chemistry and quantum matter, Science 357, 1002 (2017).
- 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.
- T. Karman, M. Tomza, and J. Pérez-Ríos, Ultracold chemistry as a testbed for few-body physics, Nat. Phys. 20, 722 (2024).
- S. L. Cornish, M. R. Tarbutt, and K. R. Hazzard, Quantum computation and quantum simulation with ultracold molecules, Nat. Phys. 20, 730 (2024).
- 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).
- 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).
- Y. Liu and K.-K. Ni, Bimolecular chemistry in the ultracold regime, Annu. Rev. Phys. Chem. 73, 73 (2022).
- 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).
- 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).
- 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 molecules in the rovibrational ground state, Phys. Rev. Lett. 113, 255301 (2014).
- 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).
- J. W. Park, S. A. Will, and M. W. Zwierlein, Ultracold dipolar gas of Fermionic molecules in their absolute ground state, Phys. Rev. Lett. 114, 205302 (2015).
- 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).
- 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).
- A. V. Avdeenkov, M. Kajita, and J. L. Bohn, Suppression of inelastic collisions of polar state molecules in an electrostatic field, Phys. Rev. A 73, 022707 (2006).
- D. Wang, E. E. Eyler, P. L. Gould, and W. C. Stwalley, State-selective detection of near-dissociation ultracold KRb and molecules, Phys. Rev. A 72, 032502 (2005).
- 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).
- 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).
- 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).
- L. Lassablière and G. Quéméner, Controlling the scattering length of ultracold dipolar molecules, Phys. Rev. Lett. 121, 163402 (2018).
- T. Karman and J. M. Hutson, Microwave shielding of ultracold polar molecules, Phys. Rev. Lett. 121, 163401 (2018).
- 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).
- 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).
- 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).
- 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).
- 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).
- S. Bali, D. Hoffmann, and T. Walker, Novel intensity dependence of ultracold collisions involving repulsive states, Europhys. Lett. 27, 273 (1994).
- 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).
- 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).
- D. Hoffmann, S. Bali, and T. Walker, Trap-depth measurements using ultracold collisions, Phys. Rev. A 54, R1030 (1996).
- 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).
- 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).
- C. Karam, Optical shielding of ultracold polar-molecule collisions, Ph.D. thesis, Université Paris-Saclay, 2024.
- T. Li, M.-J. Lu, and J. D. Weinstein, Electromagnetically induced transparency in an open multilevel system, Phys. Rev. A 84, 023801 (2011).
- J. Aldegunde and J. M. Hutson, Hyperfine structure of alkali-metal diatomic molecules, Phys. Rev. A 96, 042506 (2017).
- Note that in Ref. [31], the Rabi frequency was at least 3 times smaller, while only the , and waves were involved in the scattering calculations.
- 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).
- V. Kokoouline, O. Dulieu, R. Kosloff, and F. Masnou-Seeuws, Mapped Fourier methods for long-range molecules: Application to perturbations in the photoassociation spectrum, J. Chem. Phys. 110, 9865 (1999).
- K. Willner, O. Dulieu, and F. Masnou-Seeuws, Mapped grid methods for long-range molecules and cold collisions, J. Chem. Phys. 120, 548 (2004).
- G. Wang and G. Quéméner, Tuning ultracold collisions of excited rotational dipolar molecules, New J. Phys. 17, 035015 (2015).
- A. V. Avdeenkov and J. L. Bohn, Linking ultracold polar molecules, Phys. Rev. Lett. 90, 043006 (2003).
- 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).
- 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).
- L. Lassabliere, Collisions of ultracold dipolar molecules controlled by electric and electromagnetic fields, Ph.D. thesis, Université Paris-Saclay, 2021.
- J. Dutta, B. Mukherjee, and J. M. Hutson, Universality in the microwave shielding of ultracold polar molecules, Phys. Rev. Res. 7, 023164 (2025).
- 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).