An optimized description of a confined interacting Fermi system

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Title: An optimized description of a confined interacting Fermi system
Author(s): Jauregui, R.; Paredes, R.; Rosales-Zarate, L.; Toledo Sanchez, G.
Abstract: We provide an efficient form to express the action of a many-body Hamiltonian of harmonically trapped interacting Fermi particles on wavefunctions built from paired states. The expression is suitable to numerically determine the ground state energy, regardless of the form of the two-body interaction. It takes advantage of the knowledge of the two-particle problem and the inherent properties of the matrix form of the many-body wavefunction. As an example, we evaluate the properties of a system composed of a balanced mixture of two families of fermions confined in a harmonic trap interacting through a short-range exponential potential. Numerical results for N ≤ 10 and N = 35, 56, 84 and 165 particles of each family are reported. In the strong interacting regime corresponding to an infinite s-wave scattering length, our results give an upper bound to the Bertsch parameter for harmonically trapped systems (E/EIFG)2 = 1 + β ≤ 0.376± 0.008 with E the total energy and EIFG the energy for the analogous ideal Fermi gas. The influence of the harmonic trap and the interaction potential is exhibited in one and two-body correlation functions.
Publication type: Journal article
Source: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 43, no. 6 (Mar 2010), article no. 065301
Publication year: 2010
FOR Code(s): 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics; 0205 Optical Physics; 0307 Theoretical and Computational Chemistry
Keyword(s): Electron gas; Fermi particles; Fermi systems; Fermions; Ground-state energies; Harmonic analysis; Harmonic functions; Harmonic trap; Ideal Fermi gas; Interaction potentials; Many-body; Matrix; Numerical analysis; Numerical results; S-wave scattering lengths; Total energy; Two-body correlations; Upper bound
Publisher: Institute of Physics Publishing
ISSN: 0953-4075
Publisher URL: http://dx.doi.org/10.1088/0953-4075/43/6/065301
Peer reviewed