Coherence and clock shifts in ultracold Fermi gases with resonant interactions

Abstract

Using arguments based on sum rules, we derive a general result for the average shifts of rf lines in Fermi gases in terms of interatomic interaction strengths and two-particle correlation functions. We show that near an interaction resonance shifts vary inversely with the atomic scattering length, rather than linearly as in dilute gases, thus accounting for the experimental observation that clock shifts remain finite at Feshbach resonances.

arXiv comment4 pages, 2 figures. Nordita preprint NORDITA-2007-23

References in corpus (13)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Creation of ultracold molecules from a Fermi gas of atoms
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Radio-Frequency Spectroscopy of Ultracold Fermions
• Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
• Spectroscopic insensitivity to cold collisions in a two-state mixture of fermions
• Pairing gap and in-gap excitations in trapped fermionic superfluids
• Theory of RF-spectroscopy of strongly interacting Fermions
• Radio-Frequency Transitions on Weakly-Bound Ultracold Molecules
• Spin-correlation functions in ultracold paired atomic-fermion systems: sum rules, self-consistent approximations, and mean fields
• Cold Collision Frequency Shift of an Optical Spectrum of a Trapped Gas
• Bragg Spectroscopy of Cold Atomic Fermi Gases

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