Asymptotic Freedom of Two Heavy Impurities in a Bose-Einstein Condensate

• URL: http://arxiv.org/abs/2502.13367v1
• Date: Wed, 19 Feb 2025 02:04:02 GMT
• Title: Asymptotic Freedom of Two Heavy Impurities in a Bose-Einstein Condensate
• Authors: Dong-Chen Zheng, Lin Wen, Renyuan Liao,
• Abstract summary: We calculate the self-energy of two heavy impurities in a Bose-Einstein condensate (BEC) Various effective potentials emerge from the polaron energy under corresponding conditions. We highlight that our analysis reveals a repulsive-dominant polaron exists as long as the impurities are sufficiently close.
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• Abstract: We consider two heavy impurities immersed in a Bose-Einstein condensate (BEC), and calculate the self-energy using the Wilsonian renormalization. The polaron energy, quasiparticle residue and damping rate are extracted from the self-energy. We demonstrate that various effective potentials emerge from the polaron energy under corresponding conditions. In the limit of large separation between the impurities, the polaron spectrum converges to the results for a single impurity, exhibiting an attractive-repulsive crossover across the Feshbach resonance. The boundary of this crossover is identified through the analysis of the damping rate. We highlight that our analysis reveals a repulsive-dominant polaron exists as long as the impurities are sufficiently close, even when the impurity-boson interactions are attractive. Additionally, we observe that the two impurities become asymptotically free in the repulsive polaron regime. These results are verifiable and offer a fresh perspective on the interaction dynamics between two polarons.

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