Lattice study of trapped fermions at unitarity
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.
Keywords
Cite
@article{arxiv.1011.2804,
title = {Lattice study of trapped fermions at unitarity},
author = {Amy N. Nicholson and Michael G. Endres and David B. Kaplan and Jong-Wan Lee},
journal= {arXiv preprint arXiv:1011.2804},
year = {2011}
}
Comments
7 pages, 5 figures, presented at the XXVIII International Symposium on Lattice Field Theory (Lattice 2010), Villasimius, Italy, June 14-19 2010