Mediated interactions between ions in quantum degenerate gases

Shanshan Ding, Michael Drewsen, Jan J. Arlt, G. M. Bruun*

*Corresponding author af dette arbejde

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Abstract

We explore the interaction between two trapped ions mediated by a surrounding quantum degenerate Bose or Fermi gas. Using perturbation theory valid for weak atom-ion interaction, we show analytically that the interaction mediated by a Bose gas has a power-law behaviour for large distances whereas it has a Yukawa form for intermediate distances. For a Fermi gas, the mediated interaction is given by a power-law for large density and by a Ruderman-Kittel-Kasuya-Yosida form for low density. For strong atom-ion interactions, we use a diagrammatic theory to demonstrate that the mediated interaction can be a significant addition to the bare Coulomb interaction between the ions, when an atom-ion bound state is close to threshold. Finally, we show that the induced interaction leads to substantial and observable shifts in the ion phonon frequencies.
OriginalsprogEngelsk
Artikelnummer153401
TidsskriftPhysical Review Letters
Vol/bind129
Nummer15
Antal sider6
ISSN0031-9007
DOI
StatusUdgivet - okt. 2022

Emneord

  • cond-mat.quant-gas

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