Local entanglement generation in the adiabatic regime

TL;DR

This paper investigates how two qubits can become entangled through adiabatic evolution when interacting with a correlated quantum system, including various field conditions, using perturbation theory and the adiabatic theorem.

Contribution

It provides a theoretical framework for entanglement generation in qubits via adiabatic processes with different quantum field environments, extending previous models.

Findings

Entanglement can be generated under specific adiabatic conditions.

Different quantum field boundary conditions affect entanglement.

Thermal states influence the entanglement process.

Abstract

We study entanglement generation in a pair of qubits interacting with an initially correlated system. Using time independent perturbation theory and the adiabatic theorem, we show conditions under which the qubits become entangled as the joint system evolves into the ground state of the interacting theory. We then apply these results to the case of qubits interacting with a scalar quantum field. We study three different variations of this setup; a quantum field subject to Dirichlet boundary conditions, a quantum field interacting with a classical potential and a quantum field that starts in a thermal state.