Lattice Monte Carlo calculations for unitary fermions in a harmonic trap

Details Lattice Monte Carlo calculations for unitary fermions in a harmonic trap Lattice Monte Carlo calculations for unitary fermions in a harmonic trap

2011-06-28

arxiv.org/abs/1106.5725v2

Phys. Rev. A 84, 043644 (2011)

Physics

High Energy Physics

High Energy Physics - Lattice

48 pages, 19 figures, published version, some text revised, typos corrected, title changed in journal; previously "Unitary fer

Scientific paper

10.1103/PhysRevA.84.043644

We present a new lattice Monte Carlo approach developed for studying large numbers of strongly interacting nonrelativistic fermions, and apply it to a dilute gas of unitary fermions confined to a harmonic trap. Our lattice action is highly improved, with sources of discretization and finite volume errors systematically removed; we are able to demonstrate the expected volume scaling of energy levels of two and three untrapped fermions, and to reproduce the high precision calculations published previously for the ground state energies for N = 3 unitary fermions in a box (to within our 0.3% uncertainty), and for N = 3, . . ., 6 unitary fermions in a harmonic trap (to within our ~ 1% uncertainty). We use this action to determine the ground state energies of up to 70 unpolarized fermions trapped in a harmonic potential on a lattice as large as 64^3 x 72; our approach avoids the use of importance sampling or calculation of a fermion determinant and employs a novel statistical method for estimating observables, allowing us to generate ensembles as large as 10^8 while requiring only relatively modest computational resources.

Affiliated with

Also associated with

No associations

Rating

Lattice Monte Carlo calculations for unitary fermions in a harmonic trap does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lattice Monte Carlo calculations for unitary fermions in a harmonic trap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Monte Carlo calculations for unitary fermions in a harmonic trap will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41836