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We investigate a polaronic excitation in a one-dimensional spin-1/2 Fermi gaswith contact attractive interactions, using the complex Langevin method, whichis a promising approach to evade a possible sign problem in quantum Monte Carlosimulations. We found that the complex Langevin method works correctly in awide range of temperature, interaction strength, and population imbalance. TheFermi polaron energy extracted from the two-point imaginary Green's function isnot sensitive to the temperature and the impurity concentration in theparameter region we considered. Our results show a good agreement with thesolution of the thermodynamic Bethe ansatz at zero temperature.

Complex Langevin study for polarons in an attractively interacting one-dimensional two-component Fermi gas