Universal Fermi Gas with Two- and Three-Body Resonances

Abstract

We consider a Fermi gas with two components of different masses, with the s-wave two-body interaction tuned to unitarity. In the range of mass ratio 8.62<M/m<13.6, it is possible for a single contact interaction between heavy fermions to produce a resonance in a three-body channel. The resulting system is scale invariant and has universal properties, and is very strongly interacting. When M/m is slightly above the lower limit 8.62, the ground state energy of a 2:1 mixture of heavy and light fermions is less than 2% of the energy of a noninteracting gas with the same number densities. We derive exact relationships between the pressures of the unitary Fermi gases with and without three-body resonance when the mass ratio is close to the critical values of 8.62 and 13.6. Possible experimental realization with cold atoms in optical lattices is discussed.

4 pages, 1 figure. Possible experimental realization with cold atoms in optical lattices is discussed in the 2nd version

References in corpus (14)

• Observation of resonance condensation of fermionic atom pairs
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Three-body problem in Fermi gases with short-range interparticle interaction
• The unitary gas in an isotropic harmonic trap: symmetry properties and applications
• Epsilon expansion for a Fermi gas at infinite scattering length
• Two-species fermion mixtures with population imbalance
• Extended molecules and geometric scattering resonances in optical lattices
• Resonant pairing between Fermions with unequal masses

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