Effective-range dependence of resonant Fermi gases

Abstract

A Fermi gas of cold atoms allows precise control over the dimensionless effective range, $k_{\mathrm{F}}{R}_{\mathrm{eff}}$, of the Feshbach resonance. Our pseudopotential formalism allows us to create smooth potentials with effective range, $-2\le k_{\mathrm{F}}{R}_{\mathrm{eff}}\le 2$, which we use for a variational and diffusion Monte Carlo study of the ground state of a unitary Fermi gas. We report values for the universal constants of $\xi =0.388(1)$ and $\zeta =0.087(1)$, and compute the condensate fraction, momentum distribution, and pair correlations functions. Finally, we show that a gas with $k_{\mathrm{F}}{R}_{\mathrm{eff}}\gtrsim 1.9$ is thermodynamically unstable.

References in corpus (17)

• Theory of ultracold Fermi gases
• Observation of Fermi Polarons in a Tunable Fermi Liquid of Ultracold Atoms
• Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
• Continuum variational and diffusion quantum Monte Carlo calculations
• Resonantly-paired fermionic superfluids
• The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
• Jastrow correlation factor for atoms, molecules, and solids
• Inhomogeneous backflow transformations in quantum Monte Carlo calculations
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• Resonantly Interacting Fermions In a Box
• Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
• BEC-BCS crossover and universal relations in unitary Fermi gases
• Effective-Range Dependence of Resonantly Interacting Fermions
• BCS-BEC Crossover in Atomic Fermi Gases with a Narrow Resonance
• Jastrow correlation factor for periodic systems
• High-fidelity pseudopotentials for the contact interaction

Cited by in corpus (3)

• Finite-range effects in the unitary Fermi polaron
• Effective-range dependence of two-dimensional Fermi gases
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction