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arXiv · 1011.2804

Lattice study of trapped fermions at unitarity

Amy N. Nicholson·Michael G. Endres·David B. Kaplan·Jong-Wan Lee
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Abstract

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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Amy N. Nicholson, Michael G. Endres, David B. Kaplan, Jong-Wan Lee. 2010-11-12. Lattice study of trapped fermions at unitarity. https://arxiv.org/abs/1011.2804

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