Bose-Fermi Mixtures in One Dimension

TL;DR

This paper investigates the unique phase stability and dynamic properties of one-dimensional Bose-Fermi mixtures, revealing phenomena like phase separation at low fermion densities and undamped zero-sound modes.

Contribution

It provides a theoretical analysis of 1D Bose-Fermi mixtures, highlighting differences from 3D behavior and identifying zero-sound-like excitations.

Findings

Phase separation occurs at low fermion densities in 1D.

Zero-sound-like modes are undamped at low energies.

Dynamics are independent of spin-statistics in 1D.

Abstract

We analyze the phase stability and the response of a mixture of bosons and spin-polarized fermions in one dimension (1D). Unlike in 3D, phase separation happens for low fermion densities. The dynamics of the mixture at low energy is independent of the spin-statistics of the components, and zero-sound-like modes exist that are essentially undamped.