Super-shell structure in harmonically trapped fermionic gases and its semi-classical interpretation
(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:
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
- 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
- 2022-01-27 01:22:59
@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}},
}