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Supershell structure in trapped dilute Fermi gases

Y. Yu·M. Ogren·S. Aberg·S. M. Reimann·M. Brack
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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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Y. Yu, M. Ogren, S. Aberg, S. M. Reimann, M. Brack. 2006-01-18. Supershell structure in trapped dilute Fermi gases. https://doi.org/10.1103/physreva.72.051602

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