- Access by Xinjiang University
Orbital-dependent dimensional crossover of a -wave Feshbach resonance
Phys. Rev. A 114, 023329 – Published 31 August, 2026
DOI: https://doi.org/10.1103/vt5d-xsrq
Abstract
We report the observation of a dimensional crossover of a -wave Feshbach resonance in an ultracold, spin-polarized Fermi gas confined by a one-dimensional optical lattice. Using high-resolution atom-loss spectroscopy, we resolve the orbital doublet associated with the and scattering channels over a wide range of lattice depths. In the weak-confinement regime, the atom loss signal associated with the branch is stronger, consistent with the twofold orbital degeneracy of the three-dimensional system. As the lattice confinement increases, the relative loss weight of the two orbital branches evolves continuously toward the quasi-two-dimensional limit, indicating a progressive suppression of relative motion along the lattice direction. In addition, we observe a systematic confinement dependence of the orbital splitting between the two resonance branches. These results provide an experimental characterization of orbital-dependent -wave scattering in reduced dimensions and motivate future microscopic studies of confined anisotropic scattering.
Physics Subject Headings (PhySH)
Article Text
References (44)
- C. Ticknor, C. A. Regal, D. S. Jin, and J. L. Bohn, Multiplet structure of Feshbach resonances in nonzero partial waves, Phys. Rev. A 69, 042712 (2004).
- T.-L. Ho and R. B. Diener, Fermion superfluids of nonzero orbital angular momentum near resonance, Phys. Rev. Lett. 94, 090402 (2005).
- V. Gurarie, L. Radzihovsky, and A. V. Andreev, Quantum phase transitions across a -wave Feshbach resonance, Phys. Rev. Lett. 94, 230403 (2005).
- V. Gurarie and L. Radzihovsky, Resonantly paired fermionic superfluids, Ann. Phys. (Amsterdam, Neth.) 322, 2 (2007).
- M. Sato and Y. Ando, Topological superconductors: A review, Rep. Prog. Phys. 80, 076501 (2017).
- A. Bühler, N. Lang, C. V. Kraus, G. Möller, S. D Huber, and H.-P. Büchler, Majorana modes and p-wave superfluids for fermionic atoms in optical lattices, Nat. Commun. 5, 4504 (2014).
- C. Chin, R. Grimm, P. Julienne, and E. Tiesinga, Feshbach resonances in ultracold gases, Rev. Mod. Phys. 82, 1225 (2010).
- S. Peng, S. Peng, L. Ren, S. Liu, B. Liu, J. Li, and L. Luo, Precision measurement of spin-dependent dipolar splitting in -wave Feshbach resonances, Phys. Rev. Lett. 135, 133401 (2025).
- K. Nagase, H. Takahashi, S. Oshima, and T. Mukaiyama, Temperature dependence of -wave contacts in a harmonically trapped Fermi gas, Phys. Rev. Lett. 136, 013402 (2026).
- H. Suno, B. D. Esry, and C. H. Greene, Recombination of three ultracold fermionic atoms, Phys. Rev. Lett. 90, 053202 (2003).
- J. H. Huckans, J. R. Williams, E. L. Hazlett, R. W. Stites, and K. M. O'Hara, Three-body recombination in a three-state Fermi gas with widely tunable interactions, Phys. Rev. Lett. 102, 165302 (2009).
- C. A. Regal, C. Ticknor, J. L. Bohn, and D. S. Jin, Tuning -wave interactions in an ultracold Fermi gas of atoms, Phys. Rev. Lett. 90, 053201 (2003).
- M. Gerken, B. Tran, S. Häfner, E. Tiemann, B. Zhu, and M. Weidemüller, Observation of dipolar splittings in high-resolution atom-loss spectroscopy of -wave Feshbach resonances, Phys. Rev. A 100, 050701(R) (2019).
- S. Peng, T. Shu, B. Si, S. Peng, Y. Guo, Y. Han, J. Li, G. Wang, and L. Luo, Observation of a broad state-to-state spin-exchange collision near a -wave Feshbach resonance of atoms, Phys. Rev. A 110, L051301 (2024).
- J. Zhang, E. G. M. van Kempen, T. Bourdel, L. Khaykovich, J. Cubizolles, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, -wave Feshbach resonances of ultracold , Phys. Rev. A 70, 030702(R) (2004).
- M. Olshanii, Atomic scattering in the presence of an external confinement and a gas of impenetrable bosons, Phys. Rev. Lett. 81, 938 (1998).
- K. Günter, T. Stöferle, H. Moritz, M. Köhl, and T. Esslinger, -wave interactions in low-dimensional fermionic gases, Phys. Rev. Lett. 95, 230401 (2005).
- V. Venu, P. Xu, M. Mamaev, F. Corapi, T. Bilitewski, J. P. D'Incao, C. J. Fujiwara, A. M. Rey, and J. H. Thywissen, Unitary p-wave interactions between fermions in an optical lattice, Nature (London) 613, 262 (2023).
- Y.-T. Chang, R. Senaratne, D. Cavazos-Cavazos, and R. G. Hulet, Collisional loss of one-dimensional fermions near a -wave Feshbach resonance, Phys. Rev. Lett. 125, 263402 (2020).
- M. Waseem, Z. Zhang, J. Yoshida, K. Hattori, T. Saito, and T. Mukaiyama, Creation of -wave Feshbach molecules in selected angular momentum states using an optical lattice, J. Phys. B 49, 204001 (2016).
- P. Naidon and S. Endo, Efimov physics: A review, Rep. Prog. Phys. 80, 056001 (2017).
- M. He and Q. Zhou, -wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps, Phys. Rev. A 100, 012701 (2019).
- M. He and Q. Zhou, -wave contacts of quantum gases in quasi-one-dimensional and quasi-two-dimensional traps, Phys. Rev. A 104, 043303 (2021).
- 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, Emergent -wave interactions between identical fermions in quasi-one-dimensional geometries, Phys. Rev. X 13, 021013 (2023).
- C. J. Dale, K. G. S. Xie, K. P. Grehan, S. Zhang, J. Maki, and J. H. Thywissen, Emergent -wave interactions in orbitally active quasi-two-dimensional Fermi gases, Phys. Rev. A 110, L051302 (2024).
- K. Martiyanov, V. Makhalov, and A. Turlapov, Observation of a two-dimensional Fermi gas of atoms, Phys. Rev. Lett. 105, 030404 (2010).
- L. Pricoupenko, Resonant scattering of ultracold atoms in low dimensions, Phys. Rev. Lett. 100, 170404 (2008).
- Z. Idziaszek, Analytical solutions for two atoms in a harmonic trap: -wave interactions, Phys. Rev. A 79, 062701 (2009).
- S.-G. Peng, S. Tan, and K. Jiang, Manipulation of -wave scattering of cold atoms in low dimensions using the magnetic field vector, Phys. Rev. Lett. 112, 250401 (2014).
- D. V. Kurlov and G. V. Shlyapnikov, Two-body relaxation of spin-polarized fermions in reduced dimensionalities near a -wave Feshbach resonance, Phys. Rev. A 95, 032710 (2017).
- B. Gao, Analytic description of atomic interaction at ultracold temperatures. II. Scattering around a magnetic Feshbach resonance, Phys. Rev. A 84, 022706 (2011).
- We note that the resonance is classified as “narrow” based on its small resonance-strength parameter () rather than its magnetic-field linewidth [31].
- Y. Guo, H. Yao, S. Ramanjanappa, S. Dhar, M. Horvath, L. Pizzino, T. Giamarchi, M. Landini, and H.-C. Nägerl, Observation of the 2D–1D crossover in strongly interacting ultracold bosons, Nat. Phys. 20, 934 (2024).
- S. Liu, Z. Xu, S. Peng, S. Peng, T. Shu, J. Li, and L. Luo, Orbital-resolved three-body recombination across a p-wave Feshbach resonance in ultracold , Rep. Prog. Phys. 89, 020502 (2026).
- H. Gong, H. Liu, B. Jiao, H. Zhang, H. Yu, Q. Peng, S. Peng, T. Shu, Y. Zhu, J. Li, and L. Luo, Controllable production of degenerate Fermi gases of atoms in the crossover from two dimensions to three dimensions, Phys. Rev. A 107, 053321 (2023).
- The slight discrepancy between this value and the resonance position previously reported by our group in Ref. [34] is primarily attributed to variations in the temperature of the magnetic field coils.
- Y. Chen, S. Peng, H. Gong, X. Zhang, J. Li, and L. Luo, Characterization of the magnetic field through the three-body loss near a narrow Feshbach resonance, Phys. Rev. A 103, 063311 (2021).
- H. Liu, S. Peng, B. Jiao, J. Li, and L. Luo, Ultra-low noise bipolar current source for ultracold atom magnetic system, Rev. Sci. Instrum. 94, 053201 (2023).
- V. Ngampruetikorn, M. M. Parish, and J. Levinsen, Three-body problem in a two-dimensional Fermi gas, Europhys. Lett. 102, 13001 (2013).
- S. Peng, H. Liu, J. Li, and L. Luo, Collisional cooling of a Fermi gas with three-body recombination, Commun. Phys. 7, 101 (2024).
- W. Zwerger, Mott–Hubbard transition of cold atoms in optical lattices, J. Opt. B 5, S9 (2003).
- E. Haller, M. J. Mark, R. Hart, J. G. Danzl, L. Reichsöllner, V. Melezhik, P. Schmelcher, and H.-C. Nägerl, Confinement-induced resonances in low-dimensional quantum systems, Phys. Rev. Lett. 104, 153203 (2010).
- S. Sala, P.-I. Schneider, and A. Saenz, Inelastic confinement-induced resonances in low-dimensional quantum systems, Phys. Rev. Lett. 109, 073201 (2012).
- S. Sala and A. Saenz, Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion, Phys. Rev. A 94, 022713 (2016).