Supershell structure in trapped dilute Fermi gases

Details Supershell structure in trapped dilute Fermi gases Supershell structure in trapped dilute Fermi gases

2005-02-03

arxiv.org/abs/cond-mat/0502096v3

Phys. Rev. A 72, 051602(R) (2005)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures; In version 2, references added. The semiclassical explanation of super-shell structure is refined. Version

Scientific paper

10.1103/PhysRevA.72.051602

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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