Universal relations of strongly interacting Fermi gases with multiple scattering channels

TL;DR

This paper uncovers universal relations in strongly interacting Fermi gases with multiple scattering channels, introducing a new cross-channel contact that links thermodynamics and short-range correlations, expanding understanding beyond single-channel systems.

Contribution

It introduces a novel universal relation framework for multi-channel Fermi gases and defines a new cross-channel contact parameter.

Findings

Discovery of universal relations involving multiple scattering channels.

Introduction of the cross-channel contact parameter.

Relations connecting thermodynamics and short-range correlations.

Abstract

Universal relations are important for understanding strongly interacting Fermi gases, the study of which have been mostly limited to cases with a single scattering channel. Here we discover a series universal relations for strongly interacting Fermi gases with multiple scattering channels. Unlike its counterpart across a single channel wide magnetic Feshbach resonance, a new kind of contact which we call the cross-channel contact naturally appears in this system, this contact is related to varies thermodynamic quantities as well as short range correlation functions.