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Universal Fermi Gas with Two- and Three-Body Resonances

2007/11/30 by Yusuke Nishida, D. Son, Dam Thanh Son +1 · 3 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat.other #nucl-th

paper · pdf · doi:10.1103/physrevlett.100.090405

published as Phys.Rev.Lett.100:090405,2008 · 4 pages, 1 figure. Possible experimental realization with cold atoms in optical lattices is discussed in the 2nd version

arxiv created 2008/02/28 · openalex publication_date 2008/03/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 short-range 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 2ratio1 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.

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