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Bulletin of the American Physical Society

Quantum Monte Carlo Simulations of Dilute Fermion Gases at Finite Temperature

Vamsi K. Akkineni, David M. Ceperley, Nandini Trivedi

Published Mar 14, 2006• 0 citations
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We study the system of a dilute gas of fermions in three dimensions, with attractive interactions tuned to the unitarity point, using the nonperturbative restricted path-integral Monte Carlo method. The pairing and superfluid properties of this system are calculated at finite temperature. The total energy at very low temperature from our results agrees closely with that of previous ground-state quantum Monte Carlo calculations. We identify the temperature ${T}^{*}\ensuremath{\approx}0.70{ϵ}_{F}$, below which pairing correlations develop, and estimate the critical temperature for the superfluid transition ${T}_{c}\ensuremath{\approx}0.245{ϵ}_{F}$ from a finite size scaling analysis of the superfluid density.
Dilute gases of 2-component fermions are of great interest in atomic and nuclear physics. When interactions are strong enough so that a bound state is at threshold, universal behavior is expected. Lattice field theory provides a first principles approach to the study of strongly interacting systems such as this through Monte Carlo simulation. Results of exploratory simulations are presented here. In particular, the finite temperature phase transition between superfluid and normal states is studied. We present first results for the critical temperature T_c and describe the future work necessary to determine T_c as a function of interaction strength.