Photo-excitation measurement of Tan's contact for a strongly interacting Fermi gas

Abstract

We derive theoretically an exact relation between Tan's universal contact and the photo-excitation rate of a strongly interacting Fermi gas, in the case of optically transferring fermionic pairs to a more tightly bound molecular state. Our deviation generalizes the relation between Tan's contact and the closed-channel molecular fraction found earlier by Werner, Tarruell and Castin in Eur. Phys. J. B \textbf{68}, 401 (2009). We use the relation to understand the recent low-temperature photo-excitation measurement in a strongly interacting ${}^6$Li Fermi gas {[}Liu \textit{et al.}, arXiv:1903.12321{]} and show that there is a reasonable agreement between theory and experiment close to the unitary limit. We propose that our relation can be applied to accurately measure Tan's contact coefficient at finite temperature in future experiments.

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Cited by in corpus (4)

• Saturation of thermal and spin conductances in a dissipative superfluid junction
• Two-Body Contact Dynamics in a Bose Gas near a Fano-Feshbach Resonance
• Dimer-projection contact and the clock shift of a unitary Fermi gas
• Pair-Condensation Peak in Radio-Frequency Dimer-Projection Spectroscopy of a Unitary Fermi Gas