# Pairing patterns in one-dimensional spin- and mass-imbalanced Fermi gases

### Submission summary

 As Contributors: Lukas Rammelmüller Arxiv Link: https://arxiv.org/abs/2003.06853v1 Date submitted: 2020-03-20 Submitted by: Rammelmüller, Lukas Submitted to: SciPost Physics Discipline: Physics Subject area: Atomic, Molecular and Optical Physics - Theory Approaches: Theoretical, Computational

### Abstract

We study spin- and mass-imbalanced mixtures of spin-$\tfrac{1}{2}$ fermions interacting via an attractive contact potential in one spatial dimension. Specifically, we address the influence of unequal particle masses on the pair formation by means of the complex Langevin method. By computing the pair-correlation function and the associated pair-momentum distribution we find that inhomogeneous pairing is present for all studied spin polarizations and mass imbalances. To further characterize the pairing behavior, we analyze the density-density correlations in momentum space, the so-called shot noise, which is experimentally accessible through time-of-flight imaging. At finite spin polarization, the latter is known to show distinct maxima at momentum configurations associated with the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) instability. Besides those maxima, we find that additional features emerge in the noise correlations when mass imbalance is increased, revealing the stability of FFLO-type correlations against mass imbalance and furnishing an experimentally accessible signature to probe this type of pairing.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2003.06853v1 on 20 March 2020