Medium-induced Interaction Between Impurities in a Bose-Einstein Condensate

Autor: Drescher, Moritz, Salmhofer, Manfred, Enss, Tilman
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