862 research outputs found
Spectral flow of trimer states of two heavy impurities and one light condensed boson
The spectral flow of three-body (trimer) states consisting of two heavy
(impurity) particles sitting in a condensate of light bosons is considered.
Assuming that the condensate is weakly interaction and that an impurity and a
boson have a zero-range two-body interaction, we use the Born-Oppenheimer
approximation to determine the effective three-body potential. We solve the
resulting Schr\"odinger equation numerically and determine the trimer binding
energies as a function of the coherence length of the light bosonic condensate
particles. The binding energy is found to be suppressed by the presence of the
condensate when the energy scale corresponding to the coherence length becomes
of order the trimer binding energy in the absence of the condensate. We find
that the Efimov scaling property is reflected in the critical values of the
condensate coherence length at which the trimers are pushed into the continuum.Comment: 10 pages including appendices, 4 figures, revised versio
Efimov States of Heavy Impurities in a Bose-Einstein Condensate
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.Comment: 6 pages, 3 figures, final versio
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