Efimov states of heavy impurities in a Bose-Einstein condensate
Department of Physics and Astronomy, Aarhus University - Aarhus C, DK-8000, Denmark
Received: 3 December 2012
Accepted: 8 March 2013
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.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties / 67.85.Pq – Mixtures of Bose and Fermi gases
© EPLA, 2013