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.

References in corpus (16)

• Theory of ultracold Fermi gases
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Molecular Probe of Pairing in the BEC-BCS Crossover
• Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
• Verification of universal relations in a strongly interacting Fermi gas
• Number of closed-channel molecules in the BEC-BCS crossover
• Universal Properties of the Ultra-Cold Fermi Gas
• Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
• Measurement of the Homogeneous Contact of a Unitary Fermi gas
• Theory of RF-spectroscopy of strongly interacting Fermions
• Precise determination of the structure factor and contact in a unitary Fermi gas
• Giant formation rates of ultracold molecules via Feshbach Optimized Photoassociation
• Spectral response and contact of the unitary Fermi gas
• Universal contact of strongly interacting fermions at finite temperatures
• Contact and sum-rules in a near-uniform Fermi gas at unitarity
• Static structure factor of a strongly correlated Fermi gas at large momenta

Cited by in corpus (3)

• 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