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Bulletin of the American Physical Society

Measurement of the ``Contact'' and the Paired Fraction of Ultracold Atoms in the BEC-BCS Crossover

Yean-an Liao, Wenhui Li, Tobias Paprotta, Ann Sophie C. Rittner, Randall G. Hulet

Published May 27, 2010• 0 citations
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Precise Photoexcitation Measurement of Tan’s Contact in the Entire BCS-BEC Crossover

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We study two-body correlations in a spin-balanced ultracold harmonically trapped Fermi gas of ^{6}Li atoms in the crossover from the Bardeen-Cooper-Schrieffer (BCS) to the Bose-Einstein-Condensate (BEC) regime. For this, we precisely measure Tan's contact using a novel method based on photoexcitation of atomic pairs, which was recently proposed by Wang et al. [Photoexcitation measurement of Tan's contact for a strongly interacting Fermi gas, Phys. Rev. A 104, 063309 (2021).PLRAAN2469-992610.1103/PhysRevA.104.063309]. We map out the contact in the entire phase diagram of the BCS-BEC crossover for various temperatures and interaction strengths, probing regions in phase space that have not been investigated yet. Our measurements reach an uncertainty of ≈2% at the lowest temperatures and thus represent a precise quantitative benchmark. By comparison to our data, we localize the regions in phase space where theoretical predictions and interpolations give valid results. In regions where the contact is already well known we find excellent agreement with our measurements. Thus, our results demonstrate that photoinduced loss is a precise probe to measure quantum correlations in a strongly interacting Fermi gas.

arXiv:2309.17305•Physical Review Letters•Jun 25, 2024•9 citations
In this thesis we study the BCS-BEC crossover in a gas of ultracold atoms interacting via a two body contact potential and Rabi coupling. We start with a review of the standard BCS-BEC crossover and then derive the corresponding results for the Rabi-coupled system. Among the calculated quantities are the critical temperature, the energy gap, the condensate fraction, the superfluid fraction at the mean field level and the critical temperature beyond mean field, obtained with the NSR approach and the Babaev-Kleinert one.
We study two-body correlations in a spin-balanced ultracold harmonically trapped Fermi gas of ^{6}Li atoms in the crossover from the Bardeen-Cooper-Schrieffer (BCS) to the Bose-Einstein-Condensate (BEC) regime. For this, we precisely measure Tan's contact using a novel method based on photoexcitation of atomic pairs, which was recently proposed by Wang et al. [Photoexcitation measurement of Tan's contact for a strongly interacting Fermi gas, Phys. Rev. A 104, 063309 (2021).PLRAAN2469-992610.1103/PhysRevA.104.063309]. We map out the contact in the entire phase diagram of the BCS-BEC crossover for various temperatures and interaction strengths, probing regions in phase space that have not been investigated yet. Our measurements reach an uncertainty of ≈2% at the lowest temperatures and thus represent a precise quantitative benchmark. By comparison to our data, we localize the regions in phase space where theoretical predictions and interpolations give valid results. In regions where the contact is already well known we find excellent agreement with our measurements. Thus, our results demonstrate that photoinduced loss is a precise probe to measure quantum correlations in a strongly interacting Fermi gas.