Super-shell structure in harmonically trapped fermionic gases and its semi-classical interpretation

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It was recently shown in self-consistent Hartree-Fock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive two-body interaction exhibits 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 the beating mode depends on the strength of the interaction. We give a qualitative interpretation of the beat structure in terms of a semi-classical trace formula that uniformly describes the symmetry breaking U( 3) ! SO( 3) in a three-dimensional harmonic oscillator potential perturbed by an anharmonic term proportional to r(4) with arbitrary strength. We show that at low Fermi energies ( or particle numbers), the beating gross-shell structure of this system is dominated solely by the twofold degenerate circular and (diametrically) pendulating orbits.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Physical Sciences
Original languageEnglish
Pages (from-to)37-40
JournalPhysica Scripta
Publication statusPublished - 2006
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)