Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension

TL;DR

This paper explores the ground-state phases of one-dimensional Bose-Fermi mixtures with attractive interactions, introducing a novel continuous matrix product state approach validated against exact solutions.

Contribution

It develops a new continuous matrix product state method for Bose-Fermi mixtures and demonstrates its effectiveness on an integrable model.

Findings

Identifies diverse coherent ground-state phases depending on interaction strengths.

Validates the new method against exact solutions at the integrable Lai-Yang model point.

Shows the approach converges systematically to known results.

Abstract

We study two-component atomic gas mixtures in one dimension involving both bosons and fermions. When the inter-species interaction is attractive, we report a rich variety of coherent ground-state phases that vary with the intrinsic and relative strength of the interactions. We avoid any artifacts of lattice discretization by developing a novel implementation of a continuous matrix product state ansatz for mixtures and priorly demonstrate the validity of our approach on the integrable point that exists for mixtures with equal masses and interactions (Lai-Yang model) where we find that the ansatz correctly and systematically converges towards the exact results.