Monte Carlo calculations for Fermi gases in the unitary limit with a zero-range interaction

Abstract

An ultracold Fermi gas with a zero-range attractive potential in the unitary limit is investigated using variational and diffusion Monte Carlo methods. Previous calculations have used a finite range interactions and extrapolate the results to zero-range. Here we extend the quantum Monte Carlo method to directly use a zero-range interaction without extrapolation. We employ a trial wave function with the correct boundary conditions, and modify the sampling procedures to handle the zero-range interaction. The results are reliable and have low variance.

arXiv comment16 pages, 5 figures

References in corpus (8)

• Theory of ultracold Fermi gases
• Quantum Monte Carlo calculations of nuclei with A \leq 7
• Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
• Strongly paired fermions: Cold atoms and neutron matter
• Momentum distribution and condensate fraction of a Fermi gas in the BCS-BEC crossover
• Polarization Measurements and the Pairing Gap in the Universal Regime
• BEC-BCS crossover and universal relations in unitary Fermi gases
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• Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
• Incorporating exact two-body propagators for zero-range interactions into $N$-body Monte Carlo simulations
• Finite-range effects in the unitary Fermi polaron
• Contact interaction in an unitary ultracold Fermi gas
• Cold atoms beyond atomic physics