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

Gianluca Bertaina1, Marco G. Tarallo1, and Sebastiano Pilati2,3

  • 1Istituto Nazionale di Ricerca Metrologica, Strada delle Cacce 91, I-10135 Torino, Italy
  • 2School of Science and Technology, Physics Division, Università di Camerino, 62032 Camerino (MC), Italy
  • 3Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, I-06123 Perugia, Italy

Phys. Rev. A 107, 053305 – Published 8 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053305

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.

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