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

TL;DR

This paper computes the zero-temperature equation of state for mass-imbalanced resonant Fermi gases using a novel imaginary mass difference approach in lattice Monte Carlo simulations, providing predictions for experiments.

Contribution

It introduces an ab initio method employing imaginary mass differences to overcome the sign problem in lattice Monte Carlo calculations of mass-imbalanced Fermi gases.

Findings

Non-perturbative equation of state results

Analytic continuation to real mass imbalance

Exact relation for small mass imbalance rate of change

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.