Density distribution of a trapped two-dimensional strongly interacting Fermi gas

Abstract

We calculate and measure the density distribution and cloud size of a trapped two-dimensional ${}^6$Li Fermi gas near a Feshbach resonance at low temperatures. Density distributions and cloud sizes are calculated for a wide range of interaction parameters using a local density approximation (LDA) and a zero-temperature equation of state obtained from quantum Monte Carlo simulations reported by G. Bertaina and S. Giorgini, Phys. Rev. Lett. \textbf{106}, 110403 (2011). We find that LDA predictions agree well with experimental measurements across a Feshbach resonance. Theoretical results for Tan's contact parameter in a trapped gas are reported along with predictions for static structure factor at large momentum which could be measured in future Bragg spectroscopy experiments on two-dimensional Fermi gases.

8 pages, 7 figures; Final version appeared in New Journal of Physics

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• Precision Many-Body Study of the Berezinskii-Kosterlitz-Thouless Transition and Temperature-Dependent Properties in the Two-Dimensional Fermi Gas
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• Fermions in Two Dimensions: Scattering and Many-Body Properties
• The impurity problem in a bilayer system of dipoles
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• First and second sound in a two-dimensional dilute Bose gas across the Berezinskii-Kosterlitz-Thouless transition
• Bose-like few-fermion systems
• Two-dimensional spin-imbalanced Fermi gases at non-zero temperature: Phase separation of a non-condensate
• Quantum anomaly and thermodynamics of one-dimensional fermions with antisymmetric two-body interactions
• BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid
• Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps
• Momentum distribution functions in ensembles: the inequivalence of microcannonical and canonical ensembles in a finite ultracold system