Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2006-12-28
Phys. Scr. T125 (2006) 37-40
Physics
Condensed Matter
Other Condensed Matter
Final version of procedings for the 'Nilsson conference'
Scientific paper
10.1088/0031-8949/2006/T125/008
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 {\it 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 semiclassical trace formula that uniformly describes the symmetry breaking U(3) $\to$ SO(3) in a 3D harmonic oscillator potential perturbed by an anharmonic term $\propto r^4$ 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 two-fold degenerate circular and (diametrically) pendulating orbits.
Aberg Sofia
Brack Matthias
Ogren Magnus
Reimann Stephanie M.
Yu Yue
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