Renormalized mean-field theory for a two-component Fermi gas with s-wave interactions

Abstract

A method is introduced to renormalize the zero-range interaction for use in mean-field and many-body theory, starting from two-body calculations. The density-renormalized delta-function interaction is then applied using mean-field theory to a two-component fermion gas, and compared with diffusion Monte Carlo simulations and conventional mean-field calculations. In the unitarity limit, the equation of state exhibits the expected behavior $\mu \propto {\rho }^{2/3}$, with a parameter $\beta =-0.492$, which is consistent with recent experiments \cite{partridge2006pap, bourdel2004esb, kinast2005hcs, Stewart06}.

11 pages, 9 figures, 2 tables

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Cited by in corpus (13)

• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
• Correlated Gaussian Hyperspherical Method for Few-Body Systems
• Unified description of dynamics of a repulsive two-component Fermi gas
• Stability of Inhomogeneous Multi-Component Fermi Gases
• On the renormalization of contact interactions for the configuration-interaction method in two dimensions
• BEC-BCS crossover of a trapped Fermi gas without using the local density approximation
• Renormalized contact interaction in degenerate unitary Bose gases
• Generalized Galitskii approach for the vertex function of a Fermi gas with resonant interaction
• Nonzero temperature dynamics of a repulsive two-component Fermi gas
• Collective oscillations of a two-component Fermi gas on the repulsive branch
• Dynamics of large samples of repulsive Fermi gases at nonzero temperatures
• Two-Step Production of Resonant Bose-Einstein Condensates