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 (38)

• Applications of quantum Monte Carlo methods in condensed systems
• Comparing and contrasting nuclei and cold atomic gases
• Resonantly Interacting Fermions In a Box
• 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
• Quantum Monte Carlo approaches to nuclear and atomic physics
• Effective-Range Dependence of Resonantly Interacting Fermions
• 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
• Non-resonant Density of States Enhancement at Low Energies for Three or Four Neutrons
• Shock waves in strongly interacting Fermi gas from time-dependent density functional calculations
• Non-perturbative predictions for cold atom Bose gases with tunable interactions
• Structure and dynamics of a rotating superfluid Bose-Fermi mixture
• Unnuclear physics
• Universality of the unitary Fermi gas: A few-body perspective
• Predicting Energies of Small Clusters from the Inhomogeneous Unitary Fermi Gas
• Small mass- and trap-imbalanced two-component Fermi systems
• Towards Quantum Turbulence in Cold Atomic Fermionic Superfluids
• Trapped unitary two-component Fermi gases with up to ten particles
• A Comprehensive Study of the Three- and Four-Neutron Systems at Low Energies
• Stability of Inhomogeneous Multi-Component Fermi Gases
• Reduced density matrix approach to ultracold few-fermion systems in one dimension
• Universal behavior of a trapped Fermi superfluid in the BCS-unitarity crossover
• Effective interactions and operators in no-core shell model
• The Trapped Polarized Fermi Gas at Unitarity
• Three and four identical fermions near the unitary limit
• Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
• Effective Lagrangian of unitary Fermi gas from $\epsilon$ expansion
• Dynamical properties of the unitary Fermi gas: collective modes and shock waves
• Coupled pair approach for strongly-interacting trapped fermionic atoms
• $P$-wave Efimov physics implications at unitarity
• Efimov physics implications at $p$-wave fermionic unitarity
• Universal trimers with p-wave interactions and the faux-Efimov effect
• Scale and conformal invariance in rotating interacting few-fermion systems
• Observability of modified threshold behavior near unitarity
• Ab initio study of the neutron and Fermi polarons on the lattice