Three fermions in a box at the unitary limit: universality in a lattice model

Abstract

We consider three fermions with two spin components interacting on a lattice model with an infinite scattering length. Low lying eigenenergies in a cubic box with periodic boundary conditions, and for a zero total momentum, are calculated numerically for decreasing values of the lattice period. The results are compared to the predictions of the zero range Bethe-Peierls model in continuous space, where the interaction is replaced by contact conditions. The numerical computation, combined with analytical arguments, shows the absence of negative energy solution, and a rapid convergence of the lattice model towards the Bethe-Peierls model for a vanishing lattice period. This establishes for this system the universality of the zero interaction range limit.

6 pages

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Cited by in corpus (9)

• Number of closed-channel molecules in the BEC-BCS crossover
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Efimov physics in a finite volume
• Virial theorems for trapped cold atoms
• Resonant Scattering of Ultracold Atoms in Low Dimensions
• Single-Particle Momentum Distribution of an Efimov trimer
• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Three-body contact for fermions. I. General relations
• The normal state of attractive Fermi gases from coupled-cluster theory