Fermi systems with long scattering lengths

By H. Heiselberg. 2000

202 citations recorded by the source corpus.

Ground-state energies and superfluid gaps are calculated for degenerate Fermi systems interacting via long attractive scattering lengths such as cold atomic gases, neutron, and nuclear matter. In the intermediate region of densities, where the interparticle spacing $(\ensuremath{\sim}{1/k}_{F})$ is longer than the range of the interaction but shorter than the scattering length, the superfluid gaps and the energy per particle are found to be proportional to the Fermi energy and thus differ from the dilute and high-density limits. The attractive potential increase linearly with the spin-isospin or hyperspin statistical factor such that, e.g., symmetric nuclear matter undergoes spinodal decomposition and collapses whereas neutron matter and Fermionic atomic gases with two hyperspin states are mechanically stable in the intermediate density region. The regions of spinodal instabilities in the resulting phase diagram are reduced and do not prevent a superfluid transition.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/99dac3012c05bac40432cd9d7e8c65e0c88981aa

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

• Making, probing and understanding ultracold Fermi gases (2008, background): “58, different experiments agree to within 10%, and most importantly agree with theoretical predictions (via analytical methods [346, 347, 348, 349, 203, 215, 350], MonteCarlo calculations [351, 352, 353] and renormalization group methods [221]).”
• Fermi gases in one dimension: From Bethe ansatz to experiments (2013, background): “Universal many-body behaviour is expected in the crossover (unitarity) regime (Heiselberg, 2001; Ho, 2004).”
• Ultra-cold polarized Fermi gases (2010, background): “where ξ = f (0) is just some numerical factor [75].”
• BCS BEC crossover: From high temperature superconductors to ultracold superfluids (2004, background): “Moreover, there has been a fairly extensive body of analytic work on the ground state properties of this regime (Carlsonet al., 1999; Heiselberg, 2001), which goes beyond the simple mean field wave function ansatz.”