Effective-range dependence of two-dimensional Fermi gases

Abstract

The Feshbach resonance provides precise control over the scattering length and effective range of interactions between ultracold atoms. We propose the ultratransferable pseudopotential to model effective interaction ranges $-1.5\le k_{\mathrm{F}}^2{R}_{\mathrm{eff}}^2\le 0$, here $R_{\mathrm{eff}}$ is the effective range and $k_{\mathrm{F}}$ is the Fermi wave vector, describing narrow to broad Feshbach resonances. We develop a mean-field treatment and exploit the pseudopotential to perform a variational and diffusion Monte Carlo study of the ground state of the two-dimensional Fermi gas, reporting on the ground-state energy, contact, condensate fraction, momentum distribution, and pair-correlation functions as a function of the effective interaction range across the BEC-BCS crossover. The limit $k_{\mathrm{F}}^2{R}_{\mathrm{eff}}^2\to -\infty$ is a gas of bosons with zero binding energy, whereas $\ln (k_{\mathrm{F}}a)\to -\infty$ corresponds to noninteracting bosons with infinite binding energy.

arXiv comment13 pages, 12 figures

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Cited by in corpus (14)

• Reaching the continuum limit in finite-temperature ab initio field-theory computations in many-fermion systems
• Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
• Effective theory for ultracold strongly interacting fermionic atoms in two dimensions
• Theory of strongly paired fermions with arbitrary short-range interactions
• Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
• Pairing in two-dimensional Fermi gases with a coordinate-space potential
• Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
• Brueckner $G$-matrix approach to two-dimensional Fermi gases with the finite-range attractive interaction
• Spectral properties and observables in ultracold Fermi gases
• Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
• Finite-range effect in the two-dimensional density-induced BCS-BEC crossover
• The normal state of attractive Fermi gases from coupled-cluster theory
• Precision thermodynamics of the strongly interacting Fermi gas in two dimensions
• Temporal fluctuation induced order in conventional superconductors