English

Supershell structure in trapped dilute Fermi gases

Other Condensed Matter 2009-11-11 v3

Abstract

We show that a dilute harmonically trapped two-component gas of fermionic atoms with a weak repulsive interaction has a pronounced super-shell structure: the shell fillings due to the spherical harmonic trapping potential are modulated by a beat mode. This changes the ``magic numbers'' occurring between the beat nodes by half a period. The length and amplitude of this beating mode depend on the strength of the interaction. We give a simple interpretation of the beat structure in terms of a semiclassical trace formula for the symmetry breaking U(3) --> SO(3).

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Cite

@article{arxiv.cond-mat/0502096,
  title  = {Supershell structure in trapped dilute Fermi gases},
  author = {Y. Yu and M. Ogren and S. Aberg and S. M. Reimann and M. Brack},
  journal= {arXiv preprint arXiv:cond-mat/0502096},
  year   = {2009}
}

Comments

4 pages, 4 figures; In version 2, references added. The semiclassical explanation of super-shell structure is refined. Version 3, as appeared in Phys. Rev. A

R2 v1 2026-07-22T11:13:25.063Z