Bosons and Fermions near Feshbach resonances

Details Bosons and Fermions near Feshbach resonances Bosons and Fermions near Feshbach resonances

2003-07-30

arxiv.org/abs/cond-mat/0307726v4

J.Phys.B: At.Mol.Opt.PHys. 37 (2004) 1-13

Physics

Condensed Matter

Superconductivity

Revised version extended to include recent molecular BEC-BCS results

Scientific paper

10.1088/0953-4075/37/7/060

Near Feshbach resonances, $n|a|^3\gg 1$, systems of Bose and Fermi particles become strongly interacting/dense. In this unitary limit both bosons and fermions have very different properties than in a dilute gas, e.g., the energy per particle approach a value $\hbar^2n^{2/3}/m$ times an universal many-body constant. Calculations based upon an approximate Jastrow wave function can quantitatively describe recent measurements of trapped Bose and Fermi atoms near Feshbach resonances. The pairing gap between attractive fermions also scales as $\Delta\sim\hbar^2n^{2/3}/m$ near Feshbach resonances and is a large fraction of the Fermi energy - promising for observing BCS superfluidity in traps. Pairing undergoes several transitions depending on interaction strength and the number of particles in the trap and can also be compared to pairing in nuclei.

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