Hybrid atom-ion systems combine the precise control of a single radio-frequency-trapped atomic ion with the rich few- to many-body phenomena of ultracold degenerate quantum gases trapped in light fields. The associated long-range interaction enables studies of impurity physics and the implementation of a single-particle quantum gas microscope, sensitive to quantities beyond the atomic density, including energy distributions, atom-atom couplings, and many-body exchange symmetry. This perspective requires atom-ion coupling, which can be tuned through resonantly enhanced scattering. While atom-ion Feshbach resonances have recently become experimentally accessible, the role of quantum statistics in resonantly enhanced three-body recombination remains largely unexplored. This thesis investigates the role of fermionic quantum statistics in atom-atom-ion three-body recombination. The experiment employs a single 138Ba+ ion immersed in an ultracold two-component Fermi gas of 6Li. An atom-ion Feshbach resonance enables resonantly enhanced recombination for one spin component, while the other component acts as a non-resonant spectating collision partner. This allows a direct comparison between recombination processes involving identical and distinguishable fermions. Experimentally, recombination rates are extracted from bath polarization-dependent ion-loss spectroscopy. Expressing the results as relative rate constants largely detaches them from the total atomic density and results in suppression of recombination in the identical fermion channel. Additional measurements of two-body reactive collisions are combined with simulations of the Fermi gas, demonstrating that density modifications arising from Fermi-Dirac statistics or mutual atom-atom attraction are insufficient to explain the observed recombination behavior. To interpret the measurements, an extension of the conventional two-step model is developed. Using a hyperspherical treatment that includes all pairwise interactions and fermionic exchange symmetry, effective relaxation rates for the loosely-bound atom-ion complex are obtained. The calculations predict a suppression of recombination involving identical fermions relative to distinguishable collision partners. The experimental observations are consistent with this prediction and provide evidence that fermionic exchange symmetry significantly affects resonantly enhanced atom-atom-ion recombination. These results establish three-body recombination as a sensitive probe of short-range quantum correlations in degenerate gases and demonstrate that a single trapped ion can be employed as a localized sensor of many-body quantum statistics.
Hybrid systems of single, trapped ions embedded in quantum gases are a promising platform for quantum simulations and the study of long-range interactions in the ultracold regime. Feshbach resonances allow for experimental control over the character and strength of the atom-ion interaction. However, the complexity of atom-ion Feshbach spectra, e.g., due to second-order spin-orbit coupling, requires a detailed experimental understanding of the resonance properties—such as the contributing open-channel partial waves. In this work, we immerse a single barium ( Ba + ) ion in a bath of lithium (Li) atoms spin polarized in their hyperfine ground state to investigate the collision energy dependence of magnetically tunable atom-ion Feshbach resonances. We demonstrate fine control over the kinetic energy of the Ba + ion and employ it to explore three-body recombination in the transition from the many- to the few-partial wave regime, marked by a sudden increase of resonant loss. In a dense spectrum—with on average 0.58(1) resonances per Gauss—we select a narrow, isolated feature and characterize it as an s -wave resonance. We introduce a quantum recombination model that allows us to distinguish it from higher-partial-wave resonances. Furthermore, in a magnetic field range with no significant loss at the lowest collision energies, we identify a higher-partial-wave resonance that appears and peaks only when we increase the energy to around the s -wave limit. Our results demonstrate that hybrid atom-ion traps can reach collision energies well in the ultracold regime and that the ion’s kinetic energy can be employed to tune the collisional complex to resonance, paving the way for fast control over the interaction in settings where magnetic field variations are detrimental to coherence.
Hybrid atom-ion experiments have recently entered the few-partial wave regime in which magnetically tunable Feshbach resonances dominate the three-body loss dynamics. This necessitates a treatment of three-body recombination that can incorporate the role of the resonant dimer channel. Here, we develop a two-step Lindemann-type model for resonant atom-atom-ion three-body recombination that combines multichannel quantum-defect theory for the long-range polarization potential with a universal quantum-capture treatment of the inelastic atom-dimer step. We show that within our model, rate competition can lead to a peak in the three-body-recombination cross section of higher partial-wave channels at energies well below their corresponding centrifugal barrier. Investigating the resulting loss rates under numerically obtained non-thermal collision-energy distributions, we find that these effects survive the energy averaging and can be observed in state-of-the-art hybrid experimental setups. Our findings pave the way for a detailed characterization of atom-ion Feshbach resonances via the analysis of inelastic three-body-recombination processes.
We report on the observation of magnetic Feshbach resonances in a Fermi-Fermi mixture of ultracold atoms with extreme mass imbalance and on their unique p-wave dominated three-body recombination processes.Our system consists of open-shell alkali-metal 6 Li and closed-shell 173 Yb atoms, both spin polarized and held at various temperatures between 1 and 20 μK.We confirm that Feshbach resonances in this system are solely the result of a weak separation-dependent hyperfine coupling between the electronic spin of 6 Li and the nuclear spin of 173 Yb.Our analysis also shows that three-body recombination rates are controlled by the identical fermion nature of the mixture, even in the presence of s-wave collisions between the two species and with recombination rate coefficients outside the Wigner threshold regime at our lowest temperature.Specifically, a comparison of experimental and theoretical line shapes of the recombination process indicates that the characteristic asymmetric line shape as a function of applied magnetic field and a maximum recombination rate coefficient that is independent of temperature can only be explained by triatomic collisions with nonzero, p-wave total orbital angular momentum.The resonances can be used to form ultracold doublet ground-state molecules and to simulate quantum superfluidity in mass-imbalanced mixtures.
Achieving precise control of ultracold atomic gases requires a detailed understanding of atom loss mechanisms. Motivated by the anomalous three-body decay in a three-component Fermi gas reported in Ref. [1], this work investigates mechanisms that possibly contribute to the observed loss. The three-body Schrödinger equation is solved in the hyperspherical adiabatic representation with pairwise van der Waals interactions, and the
S-matrix is obtained via the eigenchannel
R-matrix method to compute recombination rate coefficients
K3 and two-body cross sections. At the magnetic field strength where the anomalous decay occurs,
K3 is unitary limited, exhibiting the threshold energy scaling
K3(E)∝E−1. Consequently, the thermally averaged
⟨K3⟩ acquires a temperature dependence. Because the experiment is performed in the degenerate regime,
⟨K3⟩ also explicitly depends on the per-spin densities through the per-spin Fermi energies
EF(i)∝ni2/3. As the gas is diluted and degeneracy is reduced,
⟨K3⟩ approaches the non-degenerate value and becomes a function of temperature only. Channel-resolved branching ratios and cross sections are folded into a Monte Carlo cascade simulation of secondary collisions and trap escape. The analysis indicates that typical three-body recombination events remove fewer than three atoms on average, and that the atom losses are primarily due to the ejection of secondary collision products, rather than the initial three-body recombination products. Therefore, a significant fraction of the released binding energy remains in the trapped ensemble as kinetic energy. Retained energy drives evaporative loss, offering a plausible, partial explanation for the anomalous decay.
Three-body recombination of identical, spin-polarized fermionic atoms in the ultracold limit is investigated using model interactions. The mechanisms for recombination are parametrized by the "scattering volume" V(p) and described in the framework of the adiabatic hyperspherical representation. We have calculated the recombination rate K3 as a function of V(p) and have found K3 proportional, variant |V(p)|(8/3) for small |V(p)|. Recombination near a two-body Feshbach resonance can thus be significant.