Lattice study of trapped fermions at unitarity

Details Lattice study of trapped fermions at unitarity Lattice study of trapped fermions at unitarity

2010-11-12

arxiv.org/abs/1011.2804v1

PoS Lattice2010:206,2010

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 5 figures, presented at the XXVIII International Symposium on Lattice Field Theory (Lattice 2010), Villasimius, Italy

Scientific paper

We present a lattice study of up to N=20 unitary fermions confined to a harmonic trap. Our preliminary results show better than 1% agreement with high precision solutions to the many-body Schrodinger equation for up to N=6. We are able to make predictions for larger N which were inaccessible by the Hamiltonian approach due to computational limitations. Harmonic traps are used experimentally to study cold atoms tuned to a Feshbach resonance. We show that they also provide certain benefits to numerical studies of many-body correlators on the lattice. In particular, we anticipate that the methods described here could be used for studying nuclear physics.

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