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Title: Many interacting fermions in a one-dimensional harmonic trap : a quantum-chemical treatment
Authors: Grining, Tomasz
Tomza, Michał
Lesiuk, Michał
Przybytek, Michał
Musiał, Monika
Massignan, Pietro
Lewenstein, Maciej
Moszynski, Robert
Keywords: Trapped fermions; Quantum gases in one-dimension; Coupled cluster method
Issue Date: 2015
Citation: New Journal of Physics, 2015, iss. 11, art. no 115001
Abstract: Weemploy 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 theCCmodel is analyzed. The range of the interaction strength for which single-reference CCmethods work is examined. Next, theCCmethod 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 fewfermion systems is presented. Upcoming possible applications and extensions of the presented approach are discussed.
DOI: 10.1088/1367-2630/17/11/115001
ISSN: 1367-2630
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