Field-induced entanglement in spatially superposed objects

TL;DR

This paper investigates how quantum fields induce entanglement between objects in superpositions of trajectories, finding that spacelike separated objects do not become entangled through these fields.

Contribution

It demonstrates that superposed trajectories of objects do not lead to entanglement when the objects are spacelike separated, clarifying the role of quantum fields in such scenarios.

Findings

Superposed trajectories do not produce entanglement at spacelike separation.

Quantum fields with dynamical degrees of freedom do not generate spacelike entanglement.

Entanglement generation depends on causal proximity of objects.

Abstract

We discuss the generation of field-induced entanglement between two objects each in a superposition of two trajectories.The objects have currents coupled to local quantum fields, and the currents are evaluated around each trajectory of the objects.The fields have only dynamical degrees of freedom and satisfy the microcausality condition. We find that the superposed state of trajectories cannot be entangled when the objects are spacelike separated.This means that the quantum fields do not generate spacelike entanglement in the superposition of two trajectories of each object.