Journal
SCIENTIFIC REPORTS
Volume 5, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/srep12124
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Funding
- Excellence Initiative [DFG/GSC 266]
- Marion Koser Stiftung
- Dynasty foundation
- NSF [DMR-1308435]
- Harvard-MIT CUA
- AFOSR New Quantum Phases of Matter MURI
- ARO-MURI on Atomtronics
- ARO MURI Quism program
- Direct For Mathematical & Physical Scien
- Division Of Materials Research [1308435] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1125846] Funding Source: National Science Foundation
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When a mobile impurity interacts with a many-body system, such as a phonon bath, a polaron is formed. Despite the importance of the polaron problem for a wide range of physical systems, a unified theoretical description valid for arbitrary coupling strengths is still lacking. Here we develop a renormalization group approach for analyzing a paradigmatic model of polarons, the so-called Frohlich model, 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. They are found to be logarithmically divergent with the ultra-violet cut-off, but physically meaningful regularized polaron energies are also presented. Moreover, 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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