Universal properties of a trapped two-component Fermi gas at unitarity

Abstract

We treat the trapped two-component Fermi system, in which unlike fermions interact through a two-body short-range potential having no bound state but an infinite scattering length. By accurately solving the Schroedinger equation for up to N=6 fermions, we show that no many-body bound states exist other than those bound by the trapping potential, and we demonstrate unique universal properties of the system: Certain excitation frequencies are separated by $2\hslash \omega$, the wavefunctions agree with analytical predictions and a virial theorem is fulfilled. Further calculations up to N=30 determine the excitation gap, an experimentally accessible universal quantity, and it agrees with recent predictions based on a density functional approach.

4 pages, 2 Figs., 2 Tables (minor changes)

References in corpus (6)

• Local Density Functional Theory for Superfluid Fermionic Systems: The Unitary Gas
• Scattering Length Scaling Laws for Ultracold Three-Body Collisions
• Unitary Fermi Gas in a Harmonic Trap
• Spectrum and Dynamics of the BCS-BEC crossover from a few-body perspective
• BEC-BCS Crossover of a Trapped Two-Component Fermi Gas with Unequal Masses
• BEC-BCS crossover of a trapped Fermi gas without using the local density approximation

Cited by in corpus (11)

• Superfluid Bose-Fermi mixture from weak-coupling to unitarity
• Energetics and Structural Properties of Trapped Two-Component Fermi Gases
• Virial theorems for trapped cold atoms
• Large Amplitude Dynamics of the Pairing Correlations in a Unitary Fermi Gas
• Effective Nonlinear Schrödinger Equations for Cigar-Shaped and Disk-Shaped Fermi Superfluids at Unitarity
• Density Functional Theory for non-relativistic Fermions in the Unitarity Limit
• Small mass- and trap-imbalanced two-component Fermi systems
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
• The Trapped Polarized Fermi Gas at Unitarity
• Effective Lagrangian of unitary Fermi gas from $\epsilon$ expansion