Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement

TL;DR

This paper investigates the phase diagram of a one-dimensional Bose-Fermi mixture in an optical lattice using fidelity and entanglement measures, identifying quantum phase transitions between various phases.

Contribution

It introduces the use of ground-state fidelity and quantum entanglement as tools to detect phase transitions in a Bose-Fermi mixture in 1D optical lattices.

Findings

Fidelity signals transitions between Luttinger liquid, density-wave, and phase separation phases.

Concurrence detects the transition between density-wave and Ising phases.

The study provides a new approach to analyze quantum phase diagrams in cold atom systems.

Abstract

We study the ground-state phase diagram of a Bose-Fermi mixture loaded in a one-dimensional optical lattice by computing the ground-state fidelity and quantum entanglement. We find that the fidelity is able to signal quantum phase transitions between the Luttinger liquid phase, the density-wave phase, and the phase separation state of the system; and the concurrence can be used to signal the transition between the density-wave phase and the Ising phase.