Spin imbalance in 1D trapped attractive Fermi atoms: T\textgreater 0 quantum Monte Carlo results

Spin imbalance in a one-dimensional system of fermions with short-ranged attractive interactions is studied with continuous-space path-integral Monte Carlo simulation. Following closely the experiment with ${}^6$Li atoms~[1], the pair momentum distribution is calculated at various spin polarizations. FFLO-type pairing is confirmed at the experimental temperature and coupling strength. We compare our results to those of other numerical methods~[2-4] and discuss the prospects for experimental detection.\\[4pt] [1] Y.-A. Liao et al.,~\textit{Nature},~467, 567 (2010).\\[0pt] [2] H. Lu et al.,~\textit{Phys.~Rev.~Lett.},~108, 225302 (2012).\\[0pt] [3] F. Heidrich-Meisner et al.,~\textit{Phys.~Rev.~A},~81, 023629 (2010).\\[0pt] [4] M. Takahashi,~\textit{Prog.~Theor.~Phys,}~46, 1388 (1971).\\[0pt] [5] M. Casula et al.,~\textit{Phys.~Rev.~A},~78, 033607, (2008).