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Super-shell structure in harmonically trapped fermionic gases and its semi-classical interpretation
Division of Mathematical Physics, LTH, Lund University, Lund, Sweden.ORCID iD: 0000-0002-2630-7479
Division of Mathematical Physics, LTH, Lund University, Lund, Sweden.
Division of Mathematical Physics, LTH, Lund University, Lund, Sweden.
Division of Mathematical Physics, LTH, Lund University, Lund, Sweden.
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2006 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, no T125, p. 37-40Article in journal (Refereed) Published
Abstract [en]

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 ∝ 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.

Place, publisher, year, edition, pages
Royal Swedish Academy of Sciences , 2006. no T125, p. 37-40
National Category
Other Physics Topics Condensed Matter Physics Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:oru:diva-65605DOI: 10.1088/0031-8949/2006/T125/008ISI: 000238911500010Scopus ID: 2-s2.0-42149190022OAI: oai:DiVA.org:oru-65605DiVA, id: diva2:1189051
Conference
International Conference on Finite Fermionic Systems: Nilsson Model 50 Years, Lund, Sweden, June 14-18, 2005
Available from: 2018-03-09 Created: 2018-03-09 Last updated: 2018-03-15Bibliographically approved

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Ögren, Magnus

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