Finite temperature QMC study of the one-dimensional polarized Fermi gas

TL;DR

This study uses quantum Monte Carlo methods to analyze the phase diagram of a one-dimensional polarized Fermi gas at finite temperatures, identifying the stability range of the FFLO phase and its robustness against trapping potentials.

Contribution

It provides an approximation-free finite temperature analysis of the FFLO phase in a 1D polarized Fermi gas using QMC, including effects of trapping potentials.

Findings

The FFLO phase persists up to a specific temperature threshold.

Trapping potentials do not significantly affect the FFLO regime.

Experimental conditions are close to the stable FFLO temperature range.

Abstract

Quantum Monte Carlo (QMC) techniques are used to provide an approximation-free investigation of the phases of the one-dimensional attractive Hubbard Hamiltonian in the presence of population imbalance. The temperature at which the "Fulde-Ferrell-Larkin-Ovchinnikov" (FFLO) phase is destroyed by thermal fluctuations is determined as a function of the polarization. It is shown that the presence of a confining potential does not dramatically alter the FFLO regime, and that recent experiments on trapped atomic gases likely lie just within the stable temperature range.