Simulating fermions in spin-dependent potentials with spin models on an energy lattice
Michael L. Wall
Abstract:We study spin-1/2 fermions in spin dependent potentials under the spin model approximation, in which interatomic collisions that change the total occupation of single-particle modes are ignored. The spin model approximation maps the interacting fermion problem to an ensemble of lattice spin models in energy space, where spin-spin interactions are long-ranged and spin-anisotropic. We show that the spin model approximation is accurate for weak interactions compared to the harmonic oscillator frequency, and captu… Show more
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