Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases

Abstract

Single-component ultracold atomic Fermi gases are usually described using noninteracting many-fermion models. However, recent experiments reached a regime where $p$-wave interactions among identical fermionic atoms are important. In this paper, we employ variational and fixed-node diffusion Monte Carlo simulations to investigate the ground-state properties of single-component Fermi gases with short-range repulsive interactions. We determine the zero-temperature equation of state, and elucidate the roles played by the $p$-wave scattering volume and the $p$-wave effective range. A comparison against recently derived second-order perturbative results shows good agreement in a broad range of interaction strength. We also compute the quasiparticle effective mass, and we confirm the perturbative prediction of a linear contribution in the $p$-wave scattering volume, while we find significant deviations from the beyond-mean-field perturbative result, already for moderate interaction strengths. Finally, we determine ground-state energies for two-component unpolarized Fermi gases with both interspecies and intraspecies hard-sphere interactions, finding remarkable agreement with a recently derived fourth-order expansion that includes $p$-wave contributions.

arXiv comment9 pages, 4 figures. Extended data for the effective mass and changed title. Post-print version

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• Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
• Quantum Monte Carlo and perturbative study of two-dimensional Bose-Fermi mixtures
• Beyond universality in repulsive SU(N) Fermi gases
• Radio-Frequency Spectroscopy and the Dimensional Crossover in Interacting Spin-Polarized Fermi Gases
• Spectrum of density, spin and pairing fluctuations of an attractive two-dimensional Fermi gas
• Elastic collision rates of spin-polarized fermions in two dimensions