Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity

Olga Goulko*, Matthew Wingate

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 h = Δμ/ε F &z.lap; 0.2. We obtain the continuum result T c = 0.171(5)ε F in units of Fermi energy and derive a lower bound on the deviation of the critical temperature from the balanced limit, T c(h) - T c(0) > -0.5ε F h 2. 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.

Original languageEnglish
Article number053621
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
StatePublished - 2010
Externally publishedYes


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