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Mechanisms of anomalous three-body loss in a population-imbalanced three-component Fermi gas

Kajsa-My Tempest and Chris H. Greene

Phys. Rev. A 113, 013309 – Published 8 January, 2026

DOI: https://doi.org/10.1103/h2bq-msgx

Abstract

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 by Schumacher et al. [arXiv:2301.02237], 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 that applies when only one scattering length is resonant. 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 nondegenerate 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.

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