Diagrammatic Monte Carlo study of mass-imbalanced Fermi-polaron system

TL;DR

This paper uses diagrammatic Monte Carlo methods to accurately study the properties of mass-imbalanced Fermi-polaron systems, revealing insights into quasiparticle stability, energies, and spectral functions across different impurity masses.

Contribution

It extends Monte Carlo techniques to mass-imbalanced Fermi-polaron systems, providing precise energy and spectral data beyond variational approaches.

Findings

Polaron energy and residue accurately determined across impurity masses.

Spectral function shows quasiparticle stability and identifies repulsive polaron.

Tan's contact coefficient agrees with variational methods in balanced systems.

Abstract

We apply the diagrammatic Monte Carlo approach to three-dimensional Fermi-polaron systems with mass-imbalance, where an impurity interacts resonantly with a noninteracting Fermi sea whose atoms have a different mass. This method allows to go beyond frequently used variational techniques by stochastically summing all relevant impurity Feynman diagrams up to a maximum expansion order limited by the sign problem. Polaron energy and quasiparticle residue can be accurately determined over a broad range of impurity masses. Furthermore, the spectral function of an imbalanced polaron demonstrates the stability of the quasiparticle and allows to locate in addition also the repulsive polaron as an excited state. The quantitative exactness of two-particle-hole wave-functions is investigated, resulting in a relative lowering of polaronic energies in the mass-imbalance phase diagram. Tan's contact coefficient for the mass-balanced polaron system is found in good agreement with variational methods. Mass-imbalanced systems can be studied experimentally by ultracold atom mixtures like $^6$Li-$^{40}$K.