Efimov States of Heavy Impurities in a Bose-Einstein Condensate

Abstract

We consider the problem of two heavy impurity particles embedded in a gas of weakly-interacting light mass bosonic particles in the condensed state. Using the Bogoliubov approach to describe the bosonic gas and the Born-Oppenheimer approximation for the three-body dynamics, we calculate the modification to the heavy-heavy two-body potential due to the presence of the condensate. For the case of resonant interaction between the light bosons and the impurities, we present (semi)-analytical results for the potential in the limit of a large condensate coherence length. In particular, we find a formula for the modification of the Efimov scaling factor due to the presence of a degenerate bosonic gas background.

6 pages, 3 figures, final version

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• Three in Many: Efimov physics in the presence of a Fermi sea
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Competing few-body correlations in ultracold Fermi polarons
• Efimov states in Li-Cs mixtures within a minimal model
• Functional renormalisation group approach to the finite-temperature Bose polaron
• Self-stabilized Bose polarons