Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases

TL;DR

This paper investigates the complex phase separation in a one-dimensional, mass- and population-imbalanced attractive Fermi gas, revealing four distinct phases and demonstrating the use of continuous matrix product states in a nonintegrable system.

Contribution

It introduces a detailed phase diagram for a 1D imbalanced Fermi mixture using advanced variational methods, highlighting more intricate phase structures than previous models.

Findings

Identification of four distinct phases in the density profile.

Realistic parameter regimes for future experiments.

Application of continuous matrix product states to a nonintegrable system.

Abstract

We study the attractive Fermi mixture of a ${}^{6}\mathrm{Li}$-${}^{40}\mathrm{K}$ gas in one dimension using the continuous matrix product states variational ansatz and obtain the $T=0$ phase diagram. We predict an axial density profile that contains four distinct phases trapped induced along one-dimensional (1D) tubes, which is more intricate than those observed in 1D mass-balanced systems or in higher-dimensional gas clouds. The parameter regimes explored are realistic in view of possible future experiments. This an application of continuous matrix product states to a nonintegrable fermionic system.