Trapped fermionic clouds distorted from the trap shape due to many-body effects

TL;DR

This paper introduces a method to analyze distorted fermionic cloud shapes in trapped Fermi gases, accounting for many-body effects beyond the local density approximation, with experimental validation showing significant deviations from simple models.

Contribution

A general approach is developed to calculate local properties of distorted Fermi clouds, enabling exploration of beyond local density approximation physics in trapped gases.

Findings

Distorted cloud shapes deviate significantly from ellipsoids due to many-body effects.

The method successfully explains experimental observations of shape distortions.

Surface and bulk energy competition causes dramatic shape deviations.

Abstract

We present a general approach for calculating densities and other local quantities of trapped Fermi gases, when the cloud shape is distorted with respect to the trap shape due to global energy considerations. Our approach provides a consistent way to explore physics beyond the local density approximation, if this is necessary due to the distortion. We illustrate this by analyzing in detail experimentally observed distortions in an imbalanced Fermi mixture in an elongated trap. In particular, we demonstrate in that case dramatic deviations from ellipsoidal cloud shapes arising from the competition between surface and bulk energies.