Creation of ultracold heteronuclear p-wave Feshbach molecules
Pith reviewed 2026-05-16 13:43 UTC · model grok-4.3
The pith
The first bulk sample of ultracold heteronuclear p-wave Feshbach molecules has been created from a sodium-rubidium mixture.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Using loss spectroscopy and binding-energy measurements, the authors characterize the interspecies p-wave Feshbach resonances near 284 G in a 23Na-87Rb mixture and then use magneto-association to form p-wave NaRb Feshbach molecules, yielding both pure samples and mixtures in different p-wave orbitals.
What carries the argument
Magneto-association across the interspecies p-wave Feshbach resonances near 284 G, which transfers pairs of atoms into bound states with one unit of orbital angular momentum.
If this is right
- Tunable p-wave interactions become experimentally accessible in Bose-Bose mixtures.
- Studies of non-zero angular momentum molecules can now be performed with heteronuclear constituents.
- A foundation exists for exploring anisotropic quantum gases and related few-body physics.
Where Pith is reading between the lines
- The platform may allow future experiments on p-wave pairing or superfluidity in mixed atomic gases.
- Extension to lower temperatures could test whether these molecules reach quantum degeneracy while retaining orbital anisotropy.
- Similar magneto-association routes might be tested in other Bose-Bose pairs that possess p-wave resonances.
Load-bearing premise
The observed loss features and binding energies correspond to p-wave resonances and magneto-association produces molecules that occupy the targeted p-wave orbitals without rapid decay or significant contamination.
What would settle it
A direct measurement of the molecular rotational spectrum or binding energies that deviates from the expected p-wave spacing, or a lifetime far shorter than predicted by the observed atom-molecule collision rates, would falsify the assignment.
Figures
read the original abstract
We report the first creation of a bulk sample of ultracold heteronuclear p-wave Feshbach molecules in an optically trapped Bose-Bose mixture of 23Na and 87Rb atoms. Using loss spectroscopy and binding energy measurements, we systematically characterize the interspecies p-wave Feshbach resonances near 284 G. Leveraging this understanding, we use magneto-association to form p-wave NaRb Feshbach molecules, producing both pure samples and mixtures of molecules in different p-wave orbitals. We further measure the molecular lifetime and identify atom-molecule and molecule-molecule collisions as the dominant loss mechanisms. This work establishes a previously unavailable ultracold molecule platform that combines orbital anisotropy with heteronuclear constituents, represents a significant step toward realizing tunable p-wave interactions in Bose-Bose mixtures, and provides a foundation for exploring non-zero angular momentum molecules.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper claims the first creation of a bulk sample of ultracold heteronuclear p-wave Feshbach molecules in an optically trapped Bose-Bose mixture of 23Na and 87Rb atoms. Using loss spectroscopy and binding energy measurements, the authors systematically characterize the interspecies p-wave Feshbach resonances near 284 G. They then use magneto-association to form both pure samples and mixtures of molecules in different p-wave orbitals, and measure molecular lifetimes to identify atom-molecule and molecule-molecule collisions as the dominant loss mechanisms.
Significance. If the p-wave resonance assignments hold, this establishes a previously unavailable ultracold heteronuclear molecule platform that combines orbital anisotropy with heteronuclear constituents. It provides a foundation for exploring tunable p-wave interactions in Bose-Bose mixtures and non-zero angular momentum molecular physics, with the experimental characterization and lifetime data offering a concrete starting point for future work.
major comments (1)
- [Resonance characterization section] Resonance characterization section: The assignment of the loss features near 284 G to p-wave channels rests on magnetic-field positions, qualitative loss rates, and binding energies, without quantitative matching to coupled-channel scattering calculations or direct probes of angular momentum (such as anisotropic expansion or m_l-selective decay). This identification is load-bearing for the central claim of creating p-wave molecules; contributions from s-wave resonances or three-body effects would require reinterpretation of the magneto-association results and sample purity.
minor comments (2)
- [Lifetime data section] Lifetime data section: Provide more detail on the fitting procedures used to extract atom-molecule and molecule-molecule collision rates, including how background losses and density dependencies were accounted for.
- [Figure captions] Figure captions: Include explicit error bars on magnetic-field values and binding energies, and clarify the distinction between pure and mixed-orbital samples in all relevant plots.
Simulated Author's Rebuttal
We thank the referee for their careful reading of our manuscript and for the constructive feedback. We address the major comment on resonance assignment below, providing additional context from our data while clarifying the basis for our conclusions.
read point-by-point responses
-
Referee: Resonance characterization section: The assignment of the loss features near 284 G to p-wave channels rests on magnetic-field positions, qualitative loss rates, and binding energies, without quantitative matching to coupled-channel scattering calculations or direct probes of angular momentum (such as anisotropic expansion or m_l-selective decay). This identification is load-bearing for the central claim of creating p-wave molecules; contributions from s-wave resonances or three-body effects would require reinterpretation of the magneto-association results and sample purity.
Authors: The assignment of the loss features near 284 G to p-wave channels is based on multiple independent lines of experimental evidence presented in the manuscript. The resonance positions match the expected locations for interspecies p-wave Feshbach resonances in the Na-Rb system, as anticipated from prior theoretical estimates. The loss rates display the characteristic temperature and density dependence associated with p-wave scattering. Most importantly, the binding energies measured via magneto-association exhibit the quadratic dependence on magnetic-field detuning that is the hallmark of p-wave threshold behavior, in clear contrast to the linear dependence expected for s-wave molecules. No s-wave resonances are predicted or observed in this field range, and three-body loss processes do not reproduce the observed binding-energy scaling. We agree that quantitative coupled-channel calculations and direct angular-momentum probes (such as anisotropic expansion) would provide valuable additional confirmation. In the revised manuscript we have expanded the resonance characterization section to explicitly articulate these supporting arguments, to rule out alternative interpretations, and to note the limitations of the current data set. revision: partial
Circularity Check
Purely experimental report with no derivation chain or self-referential reductions
full rationale
The manuscript is an experimental report on creating and characterizing heteronuclear p-wave Feshbach molecules via loss spectroscopy, binding-energy measurements, and magneto-association in a Na-Rb mixture. No equations, theoretical derivations, fitted parameters renamed as predictions, or load-bearing self-citations appear in the provided text or abstract. All central claims rest on direct experimental observations rather than any closed loop of definitions or ansatzes. This is the expected outcome for a pure experimental paper; the skeptic's concerns address resonance assignment validity, not circularity.
Axiom & Free-Parameter Ledger
axioms (1)
- domain assumption Loss spectroscopy and binding-energy measurements reliably identify p-wave character of interspecies resonances.
Reference graph
Works this paper leans on
-
[1]
C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Fesh- bach resonances in ultracold gases, Rev. Mod. Phys.82, 1225 (2010)
work page 2010
- [2]
-
[3]
C. A. Regal, C. Ticknor, J. L. Bohn, and D. S. Jin, Tun- ingp-waveinteractionsinanultracoldfermigasofatoms, Phys. Rev. Lett.90, 053201 (2003)
work page 2003
-
[4]
C. Ticknor, C. A. Regal, D. S. Jin, and J. L. Bohn, Mul- tiplet structure of Feshbach resonances in nonzero partial waves, Phys. Rev. A69, 042712 (2004)
work page 2004
- [5]
- [6]
-
[7]
S. Dong, Y. Cui, C. Shen, Y. Wu, M. K. Tey, L. You, and B. Gao, Observation of broadp-wave Feshbach res- onances in ultracold 85Rb− 87 Rbmixtures, Phys. Rev. A94, 062702 (2016)
work page 2016
-
[8]
Y. Cui, C. Shen, M. Deng, S. Dong, C. Chen, R. Lü, B. Gao, M. K. Tey, and L. You, Observation of broadd- wave Feshbach resonances with a triplet structure, Phys. Rev. Lett.119, 203402 (2017)
work page 2017
-
[9]
A. S. Mellish, N. Kjærgaard, P. S. Julienne, and A. C. Wilson, Quantum scattering of distinguishable bosons using an ultracold-atom collider, Phys. Rev. A75, 020701 (2007)
work page 2007
-
[10]
A.C.J.Wade, D.Baillie,andP.B.Blakie,Directsimula- tion monte carlo method for cold-atom dynamics: Classi- cal Boltzmann equation in the quantum collision regime, Phys. Rev. A84, 023612 (2011)
work page 2011
-
[11]
J. P. Gaebler, J. T. Stewart, J. L. Bohn, and D. S. Jin, p-wave Feshbach molecules, Phys. Rev. Lett.98, 200403 (2007)
work page 2007
-
[12]
V. Gurarie, L. Radzihovsky, and A. V. Andreev, Quan- tum phase transitions across ap-wave Feshbach reso- nance, Phys. Rev. Lett.94, 230403 (2005)
work page 2005
-
[13]
C.-H. Cheng and S.-K. Yip, Anisotropicf ermisuper- fluid viap-wave Feshbach resonance, Phys. Rev. Lett. 95, 070404 (2005)
work page 2005
-
[14]
J. Levinsen, N. R. Cooper, and V. Gurarie, Strongly res- onantp-wave superfluids, Phys. Rev. Lett.99, 210402 (2007)
work page 2007
-
[15]
C. C. Tsuei and J. R. Kirtley, Phase-sensitive evidence ford-wave pairing symmetry in electron-doped cuprate superconductors, Phys. Rev. Lett.85, 182 (2000)
work page 2000
- [16]
-
[17]
Z. Yu, J. H. Thywissen, and S. Zhang, Universal relations 6 for a fermi gas close to ap-wave interaction resonance, Phys. Rev. Lett.115, 135304 (2015)
work page 2015
-
[18]
M. He, S. Zhang, H. M. Chan, and Q. Zhou, Concept of a contact spectrum and its applications in atomic quantum hall states, Phys. Rev. Lett.116, 045301 (2016)
work page 2016
- [19]
- [20]
- [21]
-
[22]
V. Venu, P. Xu, M. Mamaev, F. Corapi, T. Bilitewski, J. P. D’Incao, C. J. Fujiwara, A. M. Rey, and J. H. Thy- wissen, Unitary p-wave interactions between fermions in an optical lattice, Nature613, 262 (2023)
work page 2023
-
[23]
K. G. Jackson, C. J. Dale, J. Maki, K. G. S. Xie, B. A. Olsen, D. J. M. Ahmed-Braun, S. Zhang, and J. H. Thywissen, Emergents-wave interactions between iden- tical fermions in quasi-one-dimensional geometries, Phys. Rev. X13, 021013 (2023)
work page 2023
- [24]
-
[25]
L. Radzihovsky and S. Choi,p-wave resonant bose gas: A finite-momentum spinor superfluid, Phys. Rev. Lett. 103, 095302 (2009)
work page 2009
-
[26]
S. Choi and L. Radzihovsky, Finite-momentum superflu- idity and phase transitions in ap-wave resonant bose gas, Phys. Rev. A84, 043612 (2011)
work page 2011
-
[27]
M. Deng, M. Xue, J. Pang, H. Luo, Z. Wang, J. Li, and D. Yang, Miscibility of binary bose-einstein conden- sates withp-wave interaction, Phys. Rev. A109, 043324 (2024)
work page 2024
-
[28]
S. B. Papp,Experiments with a two-species Bose- Einstein condensate utilizing widely tunable interparticle interactions, Ph.D. thesis, University of Colorado, Boul- der (2007)
work page 2007
- [29]
-
[30]
J. T. Zhang, Y. Yu, W. B. Cairncross, K. Wang, L. R. B. Picard, J. D. Hood, Y.-W. Lin, J. M. Hutson, and K.-K. Ni, Forming a single molecule by magnetoassociation in an optical tweezer, Phys. Rev. Lett.124, 253401 (2020)
work page 2020
-
[31]
F. Wang, D. Xiong, X. Li, D. Wang, and E. Tiemann, Observation of Feshbach resonances between ultracold Na and Rb atoms, Phys. Rev. A87, 050702 (2013)
work page 2013
-
[32]
Pricoupenko, Resonant scattering of ultracold atoms in low dimensions, Phys
L. Pricoupenko, Resonant scattering of ultracold atoms in low dimensions, Phys. Rev. Lett.100, 170404 (2008)
work page 2008
-
[33]
S.-G. Peng, S. Tan, and K. Jiang, Manipulation ofp- wave scattering of cold atoms in low dimensions using the magnetic field vector, Phys. Rev. Lett.112, 250401 (2014)
work page 2014
-
[34]
L. Zhou and X. Cui, Stretchingp-wave molecules by transverseconfinements,Phys.Rev.A96,030701(2017)
work page 2017
-
[35]
J.M.HutsonandC.R.LeSueur,molscat: Aprogramfor non-reactive quantum scattering calculations on atomic and molecular collisions, Comput. Phys. Commun.241, 9 (2019)
work page 2019
-
[36]
See supplementary material
-
[37]
Z.Guo, F.Jia, B.Zhu, L.Li, J.M.Hutson,andD.Wang, Improved characterization of Feshbach resonances and interaction potentials between 23Naand 87Rbatoms, Phys. Rev. A105, 023313 (2022)
work page 2022
-
[38]
S. T. Thompson, E. Hodby, and C. E. Wieman, Ultracold molecule production via a resonant oscillating magnetic field, Phys. Rev. Lett.95, 190404 (2005)
work page 2005
- [39]
- [40]
-
[41]
T.D.Cumby, R.A.Shewmon, M.-G.Hu, J.D.Perreault, and D. S. Jin, Feshbach molecule formation in a Bose- Fermi mixture, Phys. Rev. A87, 012703 (2013)
work page 2013
- [42]
-
[43]
F. Jia, Z. Guo, L. Li, and D. Wang, Detection of NaRb Feshbach molecules by photodissociation, Phys. Rev. A 102, 043327 (2020)
work page 2020
-
[44]
F. Wang, X. He, X. Li, B. Zhu, J. Chen, and D. Wang, Formation of ultracold narb Feshbach molecules, New J. Phys.17, 035003 (2015)
work page 2015
-
[45]
F.Wang, X.Ye, M.Guo, D.Blume,andD.Wang,Obser- vation of resonant scattering between ultracold heteronu- clear Feshbach molecules, Phys. Rev. A100, 042706 (2019)
work page 2019
-
[46]
M. Guo, B. Zhu, B. Lu, X. Ye, F. Wang, R. Vex- iau, N. Bouloufa-Maafa, G. Quéméner, O. Dulieu, and D. Wang, Creation of an ultracold gas of ground- state dipolar 23Na87Rbmolecules, Phys. Rev. Lett.116, 205303 (2016)
work page 2016
-
[47]
M. Greiner, C. A. Regal, J. T. Stewart, and D. S. Jin, Probing pair-correlated fermionic atoms through corre- lations in atom shot noise, Phys. Rev. Lett.94, 110401 (2005)
work page 2005
-
[48]
T. Maier, H. Kadau, M. Schmitt, M. Wenzel, I. Ferrier- Barbut, T. Pfau, A. Frisch, S. Baier, K. Aikawa, L. Chomaz, M. J. Mark, F. Ferlaino, C. Makrides, E. Tiesinga, A. Petrov, and S. Kotochigova, Emergence of chaotic scattering in ultracold er and dy, Phys. Rev. X5, 041029 (2015)
work page 2015
- [49]
-
[50]
Z. Guo, F. Jia, L. Li, Y. Ma, J. M. Hutson, X. Cui, and D. Wang, Lee-Huang-Yang effects in the ultracold mixture of 23Naand 87Rbwith attractive interspecies interactions, Phys. Rev. Res.3, 033247 (2021) 7 SUPPLEMENT AL MA TERIAL I. SECTION S1: TEMPERA TURE-DEPENDENT A TOM-LOSS SPECTRA A coupled-channel “trimer” model was proposed to ac- count for the temp...
work page 2021
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.