2020/09/28 by Binh Tran, Michael Rautenberg, Manuel Gerken +7
Physics and Astronomy · #Boson #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Fermi Gamma-ray Space Telescope #Fermion #Heteronuclear molecule #Physics of Superconductivity and Magnetism #Quantum Mechanics and Non-Hermitian Physics #Scaling #Scattering length #Series (stratigraphy) #cond-mat.quant-gas
paper · pdf · doi:10.1007/s13538-020-00811-5
published as Braz J Phys (2020) · 8 pages, 5 figures
arxiv created 2020/09/28 · openalex created_date 2020/10/01 · openalex publication_date 2020/11/09 · arxiv updated 2020/11/12 · openalex updated_date 2026/08/06
Abstract In this article, we revisit the heteronuclear Efimov effect in a Bose-Fermi mixture with large mass difference in the Born-Oppenheimer picture. As a specific example, we consider the combination of bosonic 133 Cs and fermionic 6 Li. In a system consisting of two heavy bosons and one light fermion, the fermion-mediated potential between the two heavy bosons gives rise to an infinite series of three-body bound states. The intraspecies scattering length determines the three-body parameter and the scaling factor between consecutive Efimov states. In a second scenario, we replace the single fermion by an entire Fermi Sea at zero temperature. The emerging interaction potential for the two bosons exhibits long-range oscillations leading to a weakening of the binding and a breakup of the infinite series of Efimov states. In this scenario, the binding energies follow a modified Efimov scaling law incorporating the Fermi momentum. The scaling factor between deeply bound states is governed by the intraspecies interaction, analogous to the Efimov states in vacuum.