Universality and itinerant ferromagnetism in rotating strongly interacting Fermi gases

TL;DR

This paper analytically investigates three strongly interacting fermions in a rotating harmonic trap, revealing universal thermodynamic behavior and showing that rotation suppresses itinerant ferromagnetism.

Contribution

It introduces an analytical approach to study rotating strongly interacting Fermi gases and demonstrates the universality of thermodynamic properties across rotations.

Findings

Energy and entropy are universal for all rotations in the strongly interacting regime.

Rotation suppresses the onset of itinerant ferromagnetism.

Thermodynamic quantities are calculated from the third order quantum virial expansion.

Abstract

We analytically determine the properties of three interacting fermions in a harmonic trap subject to an external rotation. Thermodynamic quantities such as the entropy and energy are calculated from the third order quantum virial expansion. By parameterizing the solutions in the rotating frame we find that the energy and entropy are universal for all rotations in the strongly interacting regime. Additionally, we find that rotation suppresses the onset of itinerant ferromagnetism in strongly interacting repulsive three-body systems.