Medium-induced interaction between impurities in a Bose-Einstein condensate
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...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2023
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| In: |
Physical review
Year: 2023, Volume: 107, Issue: 6, Pages: 1-7 |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.107.063301 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.107.063301 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.107.063301 
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| Author Notes: | Moritz Drescher, Manfred Salmhofer, and Tilman Enss |
| Summary: | 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. |
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| Item Description: | Veröffentlicht: 6. Juni 2023 Gesehen am 31.07.2023 |
| Physical Description: | Online Resource |
| ISSN: | 2469-9934 |
| DOI: | 10.1103/PhysRevA.107.063301 |