Many interacting fermions in a one-dimensional harmonic trap : a quantum-chemical treatment
Authors:
- Monika Agnieszka Musiał,
- Tomasz Grining,
- Michał Tomza,
- Michał Lesiuk,
- Michał Przybytek,
- Pietro Massignan,
- Maciej Lewenstein,
- Robert Moszynski
Abstract
We employ ab initio methods of quantum chemistry to investigate spin-1/2 fermions interacting via a two-body contact potential in a one-dimensional harmonic trap. The convergence of the total energy with the size of the one-particle basis set is analytically investigated for the two-body problem and the same form of the convergence formula is numerically confirmed to be valid for the many-body case. Benchmark calculations for two to six fermions with the full configuration interaction method equivalent to the exact diagonalization approach, and the coupled cluster (CC) method including single, double, triple, and quadruple excitations are presented. The convergence of the correlation energy with the level of excitations included in the CC model is analyzed. The range of the interaction strength for which single-reference CC methods work is examined. Next, the CC method restricted to single, double, and noniterative triple excitations, CCSD(T), is employed to study a two-component Fermi gas composed of 6–80 atoms in a one-dimensional harmonic trap. The density profiles of trapped atomic clouds are also reported. Finally, a comparison with experimental results for few-fermion systems is presented. Upcoming possible applications and extensions of the presented approach are discussed.
- Record ID
- USLb25c7c924e5446499684d4db6d4af2cd
- Author
- Journal series
- New Journal of Physics, ISSN 1367-2630
- Issue year
- 2015
- Vol
- 17
- No
- 11
- Pages
- 1-22
- Article number
- 115001
- Keywords in English
- coupled cluster method; quantum gases in one-dimension; trapped fermions
- DOI
- DOI:10.1088/1367-2630/17/11/115001 Opening in a new tab
- Handle.net URL
- hdl.handle.net/20.500.12128/643 Opening in a new tab
- URL
- https://iopscience.iop.org/article/10.1088/1367-2630/17/11/115001 Opening in a new tab
- Language
- eng (en) English
- License
- File
-
- File: 1
- Many interacting fermions in a one-dimensional harmonic trap : a quantum-chemical treatment, File Grining_Many_interacting_fermions_in_a_one-dimensional_harmonic_trap.pdf / 2 MB
- Grining_Many_interacting_fermions_in_a_one-dimensional_harmonic_trap.pdf
- publication date: 06-02-2024
- Many interacting fermions in a one-dimensional harmonic trap : a quantum-chemical treatment, File Grining_Many_interacting_fermions_in_a_one-dimensional_harmonic_trap.pdf / 2 MB
-
- Score (nominal)
- 40
- Score source
- BIBLIOGRAFIA DOROBKU PRACOWNIKÓW UŚ
- Publication indicators
- Citation count
- 44
- Uniform Resource Identifier
- https://opus.us.edu.pl/info/article/USLb25c7c924e5446499684d4db6d4af2cd/
- URN
urn:uni-kat-prod:USLb25c7c924e5446499684d4db6d4af2cd
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.