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

Abstract

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.

7 pages, 5 figures

References in corpus (5)

• Universal aspects of a strongly interacting impurity in a dilute Bose condensate
• Finite-temperature behavior of the Bose polaron
• Casimir interaction among heavy fermions in the BCS-BEC crossover
• Efimov States of Heavy Impurities in a Bose-Einstein Condensate
• Quench Dynamics of the Ideal Bose Polaron at Zero and Nonzero Temperatures