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We investigate the collective excitations of a harmonically trapped two-dimensional Fermi gas from the collisionless (zero sound) to the hydrodynamic (first sound) regime.
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Following D. Petrov and G. Shlyapnikov, Phys. Rev. A 64, 012706 (2001), we use the definition E B = ℏ 2 / m a 2 D 2 E_{B}=\hbar^{2}/ma_{2D}^{2} in which E B E_{B} is the binding energy of the dimer state
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We use the Feshbach resonance parameters from N. Strohmaier et al
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For the weak excitation of the breathing mode the spin imbalance was 10 % 10\% of the total atom number and the data point at ln ( k F a 2 D ) = 2.7 \mathop{ln}\nolimits(k_{F}a_{2D})=2.7 has ϵ = 4.1 % \epsilon=4.1\%
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