Phase diagram of a polarized Fermi gas across a Feshbach resonance in a potential trap

TL;DR

This paper maps the phase diagram of a polarized ultracold Fermi gas in a trap across a Feshbach resonance, revealing universal behavior characterized by three key parameters and detailing quantum phase boundaries.

Contribution

It provides a comprehensive phase diagram for trapped polarized Fermi gases across Feshbach resonances using the local density approximation.

Findings

Universal characterization of trapped Fermi gases by three parameters

Quantitative phase boundary determination in various conditions

Analysis of quantum phases in anisotropic harmonic traps

Abstract

We map out the detailed phase diagram of a trapped ultracold Fermi gas with population imbalance across a wide Feshbach resonance. We show that under the local density approximation, the properties of the atoms in any (anisotropic) harmonic traps are universally characterized by three dimensionless parameters: the normalized temperature, the dimensionless interaction strength, and the population imbalance. We then discuss the possible quantum phases in the trap, and quantitatively characterize their phase boundaries in various typical parameter regions.