Quantitative Probe of Pairing Correlations in a Cold Fermionic Atom Gas

TL;DR

This paper proposes a method to quantify pairing correlations in cold fermionic atom gases using RF spectra, linking interaction energy to spectral features, and drawing parallels with condensed matter techniques.

Contribution

It introduces a sum rule-based approach to measure pairing correlations in cold gases, offering a new quantitative tool comparable to condensed matter methods.

Findings

RF spectra dependence on hyperfine populations reveals pairing correlations.

A sum rule relates interaction energy to RF spectral line positions.

Method provides a new quantitative measure of pairing in cold gases.

Abstract

A quantitative measure of the pairing correlations present in a cold gas of fermionic atoms can be obtained by studying the dependence of RF spectra on hyperfine state populations. This proposal follows from a sum rule that relates the total interaction energy of the gas to RF spectrum line positions. We argue that this indicator of pairing correlations provides information comparable to that available from the spin-susceptibility and NMR measurements common in condensed-matter systems.