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The symmetric heavy-light ansatz

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Abstract.

The symmetric heavy-light ansatz is a method for finding the ground state of any dilute unpolarized system of attractive two-component fermions. Operationally it can be viewed as a generalization of the Kohn-Sham equations in density functional theory applied to N -body density correlations. While the original Hamiltonian has an exact Z2 symmetry, the heavy-light ansatz breaks this symmetry by skewing the mass ratio of the two components. In the limit where one component is infinitely heavy, the many-body problem can be solved in terms of single-particle orbitals. The original Z2 symmetry is recovered by enforcing Z2 symmetry as a constraint on N -body density correlations for the two components. For the 1D, 2D, and 3D attractive Hubbard models the method is in very good agreement with exact Lanczos calculations for few-body systems at arbitrary coupling. For the 3D attractive Hubbard model there is very good agreement with lattice Monte Carlo results for many-body systems in the limit of infinite scattering length.

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Authors and Affiliations

  1. Department of Physics, North Carolina State University, 27695, Raleigh, NC, USA

    D. Lee

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  1. D. Lee
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U.-G. Meißner

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Lee, D. The symmetric heavy-light ansatz. Eur. Phys. J. A 35, 171–187 (2008). https://doi.org/10.1140/epja/i2008-10537-2

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  • DOI: https://doi.org/10.1140/epja/i2008-10537-2

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