English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider an impurity immersed in a small Fermi gas under highly-elongatedharmonic confinement. The impurity interacts with the atoms of the Fermi gasthrough an isotropic short-range potential with three-dimensional free-spaces-wave scattering length $a_{3\text{d}}$. We investigate the energies of themolecular branch, i.e., the energies of the state that corresponds to a gasconsisting of a weakly-bound diatomic molecule and "unpaired" atoms, as afunction of the s-wave scattering length $a_{3\text{d}}$ and the ratio $\eta$between the angular trapping frequencies in the tight and weak confinementdirections. The energies obtained from our three-dimensional description thataccounts for the dynamics in the weak and tight confinement directions arecompared with those obtained within an effective one-dimensional framework,which accounts for the dynamics in the tight confinement direction via arenormalized one-dimensional coupling constant. Our theoretical results arerelated to recent experimental measurements.

Molecular branch of a small highly-elongated Fermi gas with an impurity: Full three-dimensional versus effective one-dimensional description