Fermions meet two bosons -- the heteronuclear Efimov effect revisited

Autor: Tran, Binh, Rautenberg, Michael, Gerken, Manuel, Lippi, Eleonora, Zhu, Bing, Ulmanis, Juris, Drescher, Moritz, Salmhofer, Manfred, Enss, Tilman, Weidemüller, Matthias
Rok vydání: 2020
Předmět:
Zdroj: Braz J Phys (2020)
Druh dokumentu: Working Paper
DOI: 10.1007/s13538-020-00811-5
Popis: 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 $^{133}\mathrm{Cs}$ and fermionic $^6\mathrm{Li}$. 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.
Comment: 8 pages, 5 figures
Databáze: arXiv