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Abstract: The symmetric heavy-light ansatz is a method for finding the ground state ofany dilute unpolarized system of attractive two-component fermions.Operationally it can be viewed as a generalization of the Kohn-Sham equationsin density functional theory applied to N-body density correlations. While theoriginal Hamiltonian has an exact Z 2 symmetry, the heavy-light ansatz breaksthis symmetry by skewing the mass ratio of the two components. In the limitwhere one component is infinitely heavy, the many-body problem can be solved interms of single-particle orbitals. The original Z 2 symmetry is recovered byenforcing Z 2 symmetry as a constraint on N-body density correlations for thetwo components. For the 1D, 2D, and 3D attractive Hubbard models the method isin very good agreement with exact Lanczos calculations for few-body systems atarbitrary coupling. For the 3D attractive Hubbard model there is very goodagreement with lattice Monte Carlo results for many-body systems in the limitof infinite scattering length.

Autor: Dean Lee North Carolina State University



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