Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study

Abstract

We calculate the equation of state of a two-component Fermi gas with attractive short-range interspecies interactions using the fixed-node diffusion Monte Carlo method. The interaction strength is varied over a wide range by tuning the value $a$ of the s-wave scattering length of the two-body potential. For $a>0$ and $a$ smaller than the inverse Fermi wavevector our results show a molecular regime with repulsive interactions well described by the dimer-dimer scattering length $a_m=0.6a$. The pair correlation functions of parallel and opposite spins are also discussed as a function of the interaction strength.

4 pages, 3 figures. Version accepted for publication in Phys. Rev. Lett.. Figure 3 removed. Expanded discussion of correlation functions. New figure 4. Calculation of pair correlation functions improved: more statistics and extrapolation technique to remove residual dependences on the trial wave function. Added comparison with Bogoliubov theory. References added

References in corpus (13)

• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Observation of Bose-Einstein Condensation of Molecules
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Weakly bound dimers of fermionic atoms
• Collective excitations of a degenerate gas at the BEC-BCS crossover
• Superfluid Fermi Gases with Large Scattering Length
• Resonance superfluidity in a quantum degenerate Fermi gas
• Fermi systems with long scattering lengths
• On the correct strong-coupling limit in the evolution from BCS superconductivity to Bose-Einstein condensation
• Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance
• Collective oscillations of a trapped Fermi gas near a Feshbach resonance

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• S-matrix approach to quantum gases in the unitary limit II: the three-dimensional case
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• Spin polarizability of a trapped superfluid Fermi gas
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