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Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons

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arxiv 1607.04507 v3 pith:BKVL5SER submitted 2016-07-15 cond-mat.quant-gas

Two impurities in a Bose-Einstein condensate: from Yukawa to Efimov attracted polarons

classification cond-mat.quant-gas
keywords condensateefimovimpuritiesmediatedattractionpolaronsyukawabose-einstein
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The well-known Yukawa and Efimov potentials are two different mediated interaction potentials. The first one arises in quantum field theory from the exchange of virtual particles. The second one is mediated by a real particle resonantly interacting with two other particles. This Letter shows how two impurities immersed in a Bose-Einstein condensate can exhibit both phenomena. For a weak impurity-boson attractive interactionattraction with the condensate, the two impurities form two polarons that interact through a weak Yukawa attraction mediated by virtual excitations. For a resonant attraction with the condensate, the exchanged excitation becomes a real boson and the mediated interaction changes to a strong Efimov attraction that can bind the two polarons. The resulting bipolarons turn into in-medium Efimov trimers made of the two impurities and one boson. Evidence of this physics could be seen in ultracold mixtures of atoms.

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  1. Charged Bose polarons at finite momentum

    cond-mat.quant-gas 2026-05 unverdicted novelty 6.0

    Finite-range interactions in charged Bose polarons produce a characteristic momentum scale of maximum dressing, non-monotonic damping, and high-momentum scaling Γ_p ~ 1/p, unlike divergent contact-interaction results.