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Fermi gases in strongly coupled regimes, such as the unitary limit, areinherently challenging for many-body methods. Although much progress has beenmade with purely analytic methods, quantitative results require ab initionumerical approaches, such as Monte Carlo (MC) calculations. However,mass-imbalanced and spin-imbalanced gases are not accessible to MC calculationsdue to the infamous sign problem. It was recently pointed out that the signproblem, for finite spin imbalance, can be circumvented by resorting toimaginary polarizations and analytic continuation. Large parts of the phasediagram spanned by temperature and polarization then become accessible to MCcalculations. We propose to apply a similar strategy to the mass-imbalancedcase, which opens up the possibility to study the associated phase diagram withMC calculations. In particular, our analysis suggests that a detection of a(tri-)critical point in this phase diagram is possible. We also discusscalculations in the zero-temperature limit with our approach.

Fermi gases with imaginary mass imbalance and the sign problem in Monte Carlo calculations