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

A. N. Rubtsov; E. Demler; F. Grusdt; Y. E. Shchadilova

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

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arxiv 1410.2203 v1 pith:A25QOANP submitted 2014-10-08 cond-mat.quant-gas cond-mat.mes-hall

F. Grusdt , Y. E. Shchadilova , A. N. Rubtsov , E. Demler This is my paper · ORCID

classification cond-mat.quant-gascond-mat.mes-hall

keywords atomsapproachcoldgroupohlichpolaronpolaronsproblem

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We develop a renormalization group approach for analyzing Fr\"ohlich 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.

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A trial-wavefunction calculation predicts anomalous Rabi oscillations and a steady-state magnetization for strongly driven Bose polarons when attractive and repulsive polaron branches coexist.

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