Effective pair interaction between impurity particles induced by a dense\n Fermi gas

2021/05/06 by David Mitrouskas, Mitrouskas, David, Peter Pickl +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum and electron transport phenomena

paper · pdf · doi:10.48550/arxiv.2105.02841

openalex publication_date 2021/05/06 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We study the dynamics of a small number of impurity particles coupled to the\nideal Fermi gas in a d-dimensional box. The impurities interact with the\nfermions via a two-body potential \λ v(x) where \λ is a coupling\nconstant and v(x) for instance a screened Coulomb potential. After taking the\nlarge-volume limit at positive Fermi momentum k_F we consider the regime of\nhigh density of the fermions, that is, k_F large compared to one. For\ncoupling constants that scale like \λ² \∼ k_F^(2-d) we show that\nthe impurity particles effectively decouple from the fermions but evolve with\nan attractive pair interaction among each other which is induced by\nfluctuations in the Fermi gas.\n

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