English

Mass-imbalanced fermionic mixture in a harmonic trap

Quantum Gases 2017-08-25 v2 Atomic Physics Quantum Physics

Abstract

The mass-imbalanced fermionic mixture is studied, where N5N\le5 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 2N42 \le N \le 4 systems, pure (N+1)(N+1) Efimov states exist for large enough mass ratio. However, no sign for a six-body Efimov state in the (5+1)(5+1) system is found in the mass ratio explored, M/m12M/m \le 12.

Keywords

Cite

@article{arxiv.1706.05623,
  title  = {Mass-imbalanced fermionic mixture in a harmonic trap},
  author = {Betzalel Bazak},
  journal= {arXiv preprint arXiv:1706.05623},
  year   = {2017}
}
R2 v1 2026-06-22T20:21:56.263Z