Superfluid and Fermi liquid phases of Bose-Fermi mixtures in optical lattices

TL;DR

This paper investigates how ultracold Bose-Fermi mixtures in optical lattices can exhibit superfluid and Fermi liquid phases, analyzing their shell structures and methods to detect these phases using angular momentum transfer and spectroscopy.

Contribution

It introduces a detailed analysis of phase emergence and shell structures in Bose-Fermi mixtures, proposing experimental detection techniques for superfluid and Fermi liquid regions.

Findings

Identification of superfluid and Fermi liquid shell structures

Proposal of angular momentum transfer as a detection method

Analysis of phase emergence from insulating states

Abstract

We describe interacting mixtures of ultracold bosonic and fermionic atoms in harmonically confined optical lattices. For a suitable choice of parameters we study the emergence of superfluid and Fermi liquid (non-insulating) regions out of Bose-Mott and Fermi-band insulators, due to finite Boson and Fermion hopping. We obtain the shell structure for the system and show that angular momentum can be transferred to the non-insulating regions from Laguerre-Gaussian beams, which combined with Bragg spectroscopy can reveal all superfluid and Fermi liquid shells.