Mass-imbalanced fermionic mixture in a harmonic trap

Abstract

The mass-imbalanced fermionic mixture is studied, where $N\le 5$ identical fermions interact resonantly with an impurity, a distinguishable atom. The shell structure is explored, and the physics of a dynamic light-impurity is shown to be different from that of the static heavy-impurity case. The energies in a harmonic trap at unitarity are calculated and extrapolated to the zero-range limit. In doing so, the scaling factor of the ground state, as well as of a few excited states, is calculated. In the $2\le N\le 4$ systems, pure $(N+1)$ Efimov states exist for large enough mass ratio. However, no sign for a six-body Efimov state in the $(5+1)$ system is found in the mass ratio explored, $M/m\le 12$.

References in corpus (8)

• Weakly bound dimers of fermionic atoms
• Low-energy three-body dynamics in binary quantum gases
• Trimers, molecules and polarons in imbalanced atomic Fermi gases
• Universal Fermi Gas with Two- and Three-Body Resonances
• Five-Body Efimov Effect and Universal Pentamer in Fermionic Mixtures
• Effective Field Theory for Few-Boson Systems
• Crossover trimers connecting continuous and discrete scaling regimes
• Short Range Scaling Laws of Quantum Gases With Contact Interactions