Trapped unitary two-component Fermi gases with up to ten particles

Abstract

The properties of two-component Fermi gases with zero-range interactions are universal. We use an explicitly correlated Gaussian basis set expansion approach to investigate small equal-mass two-component Fermi gases under spherically symmetric external harmonic confinement. At unitarity, we determine the ground state energy for systems with up to ten particles interacting through finite-range two-body potentials for both even and odd number of particles. We extrapolate the energies to the zero-range limit using a novel scheme that removes the linear and, in some cases, also the quadratic dependence of the ground state energies on the two-body range. Our extrapolated zero-range energies are compared with results from the literature. We also calculate the two-body Tan contact and structural properties.

arXiv comment11 pages (7 figures) + 6 pages (10 figures)

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• Universality of the unitary Fermi gas: A few-body perspective
• Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Analytic matrix elements with shifted correlated Gaussians
• Three and four identical fermions near the unitary limit
• Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
• Cluster formation in two-component Fermi gases
• Unitary limit and linear scaling of neutrons in harmonic trap with tuned CD-Bonn and square-well interactions
• When does a Fermi puddle become a Fermi sea? Emergence of pairing in two-dimensional trapped mesoscopic Fermi gases
• Observability of modified threshold behavior near unitarity
• Deformed Explicitly Correlated Gaussians