Lattice Monte Carlo calculations for unitary fermions in a finite box

Details Lattice Monte Carlo calculations for unitary fermions in a finite box Lattice Monte Carlo calculations for unitary fermions in a finite box

2012-03-14

arxiv.org/abs/1203.3169v1

Physics

High Energy Physics

High Energy Physics - Lattice

38 pages, 13 figures

Scientific paper

We perform lattice Monte Carlo simulations for up to 66 unitary fermions in a finite box using a highly improved lattice action for nonrelativistic spin 1/2 fermions. We obtain on our largest spatial lattice a value of $0.3968^{+0.0076}_{-0.0077}$ for the Bertsch parameter, defined as the energy of the unitary Fermi gas measured in units of the free gas energy in the thermodynamic limit. In addition, for up to four unitary fermions, we compute the spectrum of the lattice theory by exact diagonalization of the transfer matrix projected onto irreducible representations of the octahedral group for small to moderate size lattices, providing an independent check of our few-body simulation results. We compare our exact numerical and simulation results for the spectrum to benchmark studies of other research groups, as well as perform an extended analysis of our lattice action improvement scheme, including analysis of the errors associated with higher partial waves and finite temporal discretization.

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