Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity

TL;DR

This paper investigates the zero-temperature thermodynamics of asymmetric Fermi gases at unitarity, revealing how their equations of state influence spatial density profiles and proposing methods to determine these equations experimentally.

Contribution

It provides the most accurate theoretical relation between density profiles and the equation of state for asymmetric Fermi gases at unitarity, highlighting the necessity of a partially polarized phase.

Findings

Existence of at least one partially polarized phase in asymmetric Fermi gases.

Relation between density profiles and the zero-temperature equation of state.

Method to extract the equation of state from experimental data.

Abstract

The equation of state of a dilute two-component asymmetric Fermi gas at unitarity is subject to strong constraints, which affect the spatial density profiles in atomic traps. These constraints require the existence of at least one non-trivial partially polarized (asymmetric) phase. We determine the relation between the structure of the spatial density profiles and the T=0 equation of state, based on the most accurate theoretical predictions available. We also show how the equation of state can be determined from experimental observations.