Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

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

Ögren, Magnus LU ; Yu, Yongle LU ; Åberg, Sven LU ; Reimann, Stephanie LU and Brack, M. (2006) In Physica Scripta T125. p.37-40
Abstract
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)... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
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
0031-8949
DOI
10.1088/0031-8949/2006/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
3b135bbf-3051-4c88-9d89-7b430cd11cca (old id 403703)
date added to LUP
2016-04-01 12:16:31
date last changed
2021-06-23 02:56:15
@article{3b135bbf-3051-4c88-9d89-7b430cd11cca,
  abstract     = {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.},
  author       = {Ögren, Magnus and Yu, Yongle and Åberg, Sven and Reimann, Stephanie and Brack, M.},
  issn         = {0031-8949},
  language     = {eng},
  pages        = {37--40},
  publisher    = {IOP Publishing},
  series       = {Physica Scripta},
  title        = {Super-shell structure in harmonically trapped fermionic gases and its semi-classical interpretation},
  url          = {http://dx.doi.org/10.1088/0031-8949/2006/T125/008},
  doi          = {10.1088/0031-8949/2006/T125/008},
  volume       = {T125},
  year         = {2006},
}