Renormalization group approach to the Fr'ohlich polaron model: application to impurity-BEC problem

摘要

We develop a renormalization group approach for analyzing Fr\"ohlich polaronsand apply it to a problem of impurity atoms immersed in a Bose-Einsteincondensate of ultra cold atoms. Polaron energies obtained by our method are inexcellent agreement with recent diagrammatic Monte Carlo calculations for awide range of interaction strengths. We calculate the effective mass ofpolarons and find a smooth crossover from weak to strong coupling regimes.Possible experimental tests of our results in current experiments with ultracold atoms are discussed.