Strong coupling Bose polarons in a two-dimensional gas

We study the ground state properties of Bose polarons in a two dimensional geometry using quantum Monte Carlo techniques. Results for the binding energy, the effective mass and the quasiparticle residue are reported for a typical strength of interactions in the gas and for a wide range of impurity-gas coupling strengths. Two branches exist for any interaction strength. The lower branch corresponds to an attractive polaron and spans from the regime of weak interactions, where the size of the polaron is on the order of the healing length of the bath, to deeply bound states which involve many particles from the bath and extend far beyond the healing length. The upper branch corresponds to the ground state of a repulsive polaron or an excited state of an attractive polaron. In the regime of strong interactions where many-body bound states are formed, we find that the energy is lower with respect to the two-body binding energy, the quasiparticle residue approaches zero and the effective mass of the impurity is significantly larger than its bare mass.

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