Zero-temperature equation of state of mass-imbalanced resonant Fermi gases

Abstract

We calculate the zero-temperature equation of state of mass-imbalanced resonant Fermi gases in an ab initio fashion, by implementing the recent proposal of imaginary-valued mass difference to bypass the sign problem in lattice Monte Carlo calculations. The fully non-perturbative results thus obtained are analytically continued to real mass imbalance to yield the physical equation of state, providing predictions for upcoming experiments with mass-imbalanced atomic Fermi gases. In addition, we present an exact relation for the rate of change of the equation of state at small mass imbalances, showing that it is fully determined by the energy of the mass-balanced system.

5 pages, 2 figures, 2 tables

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• Lattice Improvement in Lattice Effective Field Theory
• Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
• Equation of state of non-relativistic matter from automated perturbation theory and complex Langevin
• Advances in non-relativistic matter via complex Langevin approaches
• In-medium bound-state formation and inhomogeneous condensation in Fermi gases in a hard-wall box
• BCS-BEC crossover of the strongly interacting ${}^6$Li-${}^{40}$K mixture