Supershell structure in harmonically trapped fermionic gases and its semiclassical interpretation
(2006) In Physica Scripta T125. p.3740 Abstract
 It was recently shown in selfconsistent HartreeFock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive twobody interaction exhibits a pronounced supershell 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) ! SO( 3) in a threedimensional harmonic oscillator potential perturbed by an anharmonic term proportional to r(4)... (More)
 It was recently shown in selfconsistent HartreeFock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive twobody interaction exhibits a pronounced supershell 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) ! SO( 3) in a threedimensional 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 grossshell structure of this system is dominated solely by the twofold degenerate circular and (diametrically) pendulating orbits. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/403703
 author
 Ögren, Magnus ^{LU} ; Yu, Yongle ^{LU} ; Åberg, Sven ^{LU} ; Reimann, Stephanie ^{LU} and Brack, M.
 organization
 publishing date
 2006
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Physica Scripta
 volume
 T125
 pages
 37  40
 publisher
 IOP Publishing
 external identifiers

 wos:000238911500010
 scopus:42149190022
 ISSN
 00318949
 DOI
 10.1088/00318949/2006/T125/008
 language
 English
 LU publication?
 yes
 additional info
 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)
 id
 3b135bbf30514c889d897b430cd11cca (old id 403703)
 date added to LUP
 20160401 12:16:31
 date last changed
 20220127 01:22:59
@article{3b135bbf30514c889d897b430cd11cca, abstract = {{It was recently shown in selfconsistent HartreeFock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive twobody interaction exhibits a pronounced supershell 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) ! SO( 3) in a threedimensional 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 grossshell structure of this system is dominated solely by the twofold degenerate circular and (diametrically) pendulating orbits.}}, author = {{Ögren, Magnus and Yu, Yongle and Åberg, Sven and Reimann, Stephanie and Brack, M.}}, issn = {{00318949}}, language = {{eng}}, pages = {{3740}}, publisher = {{IOP Publishing}}, series = {{Physica Scripta}}, title = {{Supershell structure in harmonically trapped fermionic gases and its semiclassical interpretation}}, url = {{http://dx.doi.org/10.1088/00318949/2006/T125/008}}, doi = {{10.1088/00318949/2006/T125/008}}, volume = {{T125}}, year = {{2006}}, }