Self-bound droplet of Bose and Fermi atoms in one dimension: Collective properties in mean-field and Tonks-Girardeau regimes

TL;DR

This paper explores the formation and properties of self-bound Bose-Fermi droplets in one dimension, analyzing their stability, density profiles, and collective excitations across different quantum regimes.

Contribution

It demonstrates that quantum fluctuations stabilize one-dimensional Bose-Fermi bright solitons for any finite attractive scattering length, across mean-field and Tonks-Girardeau regimes.

Findings

Self-bound Bose-Fermi droplets exist for any finite attractive scattering.

Density profiles depend on the quantum regime (mean-field or Tonks-Girardeau).

Collective excitations vary with the regime involved.

Abstract

We investigate a dilute mixture of bosons and spin-polarized fermions in one-dimension. With an attractive Bose-Fermi scattering length the ground-state is a self-bound droplet, i.e. a Bose-Fermi bright soliton where the Bose and Fermi clouds are superimposed. We find that the quantum fluctuations stabilize the Bose-Fermi soliton such that the one-dimensional bright soliton exists for any finite attractive Bose-Fermi scattering length. We study density profile and collective excitations of the atomic bright soliton showing that they depend on the bosonic regime involved: mean-field or Tonks-Girardeau.