Description
We study a trapped polarized Fermi gas interacting with a single
impurity. First, we investigate the tunnelling dynamics of the
impurity through a potential barrier, such as one created by a
double-well trap. We perform an exact diagonalization of the
full
many-body Hamiltonian and analyze the results in a Local Density
Approximation. Second, we consider a radio-frequency
spectroscopy of
our system and the resulting spectral function. These
calculations can
motivate future experiments, which can provide us with a further
insight into the physics of a Fermi polaron.