Abstract
In this article we present a Monte Carlo calculation of the critical temperature and other thermodynamic quantities for the unitary Fermi gas with a population imbalance (unequal number of fermions in the two spin components). We describe an improved worm-type algorithm that is less prone to autocorrelations than the previously available methods and show how this algorithm can be applied to simulate the unitary Fermi gas in presence of a small imbalance. Our data indicate that the critical temperature remains almost constant for small imbalances . We obtain the continuum result in units of Fermi energy and derive a lower bound on the deviation of the critical temperature from the balanced limit, . Using an additional assumption a tighter lower bound can be obtained. We also calculate the energy per particle and the chemical potential in the balanced and imbalanced cases.
8 More- Received 20 August 2010
DOI:https://doi.org/10.1103/PhysRevA.82.053621
©2010 American Physical Society