Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions

TL;DR

This paper investigates the effects of weak p-wave interactions in strongly interacting one-dimensional quantum gas mixtures, revealing their significant influence on spin dynamics and phase transitions.

Contribution

It demonstrates that weak p-wave interactions are crucial in the strongly interacting regime, affecting density distributions and inducing quantum phase transitions.

Findings

Weak p-wave interactions influence species-dependent density distributions.

P-wave interactions significantly affect low-energy spin dynamics.

Tuning interaction strengths can induce a transition from antiferromagnetic to ferromagnetic states.

Abstract

We study one-dimensional strongly interacting quantum gas mixtures, including both the Bose-Fermi and spin-1/2 Fermi-Fermi mixtures, with weak p-wave interactions between intra-component fermions, and demonstrate that the weak p-wave interaction can not be omitted in the strongly interacting regime where the strength of p-wave interactions is comparable with the inverse of the strength of strongly repulsive s-wave interactions. While the total density distribution is not sensitive to the weak p-wave interaction, we find that the p-wave interaction plays an important role in determining the species-dependent (or spin-dependent) density distributions and produces significant physical effects on the low-energy spin dynamics. We also derive effective spin-exchange models for strongly interacting quantum gas mixtures with weak p-wave interactions, which indicate that a quantum phase transition from anti-ferromagnetic state to ferromagnetic state can be induced by tuning the relative strengths of intra-component and inter-component interactions.