Mapping the spatial distribution of entanglement in optical lattices

TL;DR

This paper presents a method to map and quantify entanglement in two-dimensional optical lattices with two atomic species, using entanglement witnesses and measurements, considering noise effects and experimental relevance.

Contribution

It introduces a technique to measure and visualize entanglement distribution over large lattice regions using entanglement witnesses in optical lattice systems.

Findings

Entanglement can be mapped over large lattice regions.

Measurement of entanglement witnesses is feasible with two sets of measurements.

Noise impacts on entanglement detection are analyzed.

Abstract

We study the entangled states that can be generated using two species of atoms trapped in independently movable, two-dimensional optical lattices. We show that using two sets of measurements it is possible to measure a set of entanglement witness operators distributed over arbitrarily large regions of the lattice, and use these witnesses to produce two-dimensional plots of the entanglement content of these states. We also discuss the influence of noise on the states and on the witnesses, as well as connections to ongoing experiments.