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A recently developed lattice method for large numbers of strongly interactingnonrelativistic fermions exhibits a heavy tail in the distributions ofcorrelators for large Euclidean time {\tau} and large number of fermions N,which only allows the measurement of ground state energies for a limited numberof fermions using standard techniques. In such cases, it is suggested thatmeasuring the log of the correlator is more efficient, and a cumulant expansionof this quantity can be exactly related to the correlation function. Thecumulant expansion technique allows us to determine the ground state energiesof up to 66 unpolarized unitary fermions on lattices as large as72$\times$14^3, and up to 70 unpolarized unitary fermions trapped in a harmonicpotential on lattices as large as 72$\times$64^3. We have also improved ourlattice action with a Galilean invariant form for the four-fermion interaction,which results in predictive volume scaling of the lowest energy of threefermions in a periodic box and in good agreement of our results for N \leq 6trapped unitary fermions with those from other benchmark calculations.

Extended study for unitary fermions on a lattice using the cumulant expansion technique