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.

16 pages, 5 figures

References in corpus (4)

• Theory of ultracold Fermi gases
• Strongly paired fermions: Cold atoms and neutron matter
• Polarization Measurements and the Pairing Gap in the Universal Regime
• BEC-BCS crossover and universal relations in unitary Fermi gases

Cited by in corpus (6)

• The Bose polaron problem: effect of mass imbalance on binding energy
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Quantum behavior of a heavy impurity strongly coupled to a Bose gas
• Path integral Monte Carlo ground state approach: Formalism, implementation, and applications
• Finite-range effects in the unitary Fermi polaron
• Cold atoms beyond atomic physics