Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate
Autor: | Drescher, Moritz, Salmhofer, Manfred, Enss, Tilman |
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Rok vydání: | 2023 |
Předmět: | |
Zdroj: | Phys. Rev. A 107, 063301 (2023) |
Druh dokumentu: | Working Paper |
DOI: | 10.1103/PhysRevA.107.063301 |
Popis: | We consider two heavy particles immersed in a Bose-Einstein condensate in three dimensions and compute their mutual interaction induced by excitations of the medium. For an ideal Bose gas, the induced interaction is Newtonian up to a shift in distance which depends on the coupling strength between impurities and Bosons. For a real BEC, we find that on short distances, the induced potential is dominated by three-body physics of a single Boson bound to the impurities, leading to an Efimov potential. At large distances of the order of the healing length, a Yukawa potential emerges instead. In particular, we find that both regimes are realized for all impurity-boson couplings and determine the corresponding crossover scales. The transition from the real to the ideal condensate at low gas parameters is investigated. Comment: 7 pages, 5 figures |
Databáze: | arXiv |
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