Renormalization group approach to the Fröhlich polaron model: application to impurity-BEC problem

Abstract

We develop a renormalization group approach for analyzing Fröhlich polarons and apply it to a problem of impurity atoms immersed in a Bose-Einstein condensate of ultra cold atoms. Polaron energies obtained by our method are in excellent agreement with recent diagrammatic Monte Carlo calculations for a wide range of interaction strengths. We calculate the effective mass of polarons and find a smooth crossover from weak to strong coupling regimes. Possible experimental tests of our results in current experiments with ultra cold atoms are discussed.

13 pages, 7 figures

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• Neutral Impurities in a Bose-Einstein Condensate for Simulation of the Fröhlich-Polaron
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• Mixed bubbles in Bose-Bose mixtures
• Strong coupling Bose polarons out of equilibrium: Dynamical RG approach
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• Variational principle for quantum impurity systems in and out of equilibrium: application to Kondo problems
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