Boundary Dynamics Driven Entanglement

TL;DR

This paper investigates how dynamical boundary conditions can induce entanglement in bipartite quantum systems, analyzing the role of self-adjoint extensions of Hamiltonians and illustrating with examples including a quantum rotor and spin system.

Contribution

It introduces a novel method of generating entanglement through boundary dynamics and characterizes the specific boundary conditions that lead to entanglement in bipartite systems.

Findings

Certain boundary conditions induce entanglement from initially unentangled states.

The set of boundary conditions leading to separable dynamics is small and characterized.

Examples include hybrid systems with quantum rotors and spins under various boundary conditions.

Abstract

We will show how it is possible to generate entangled states out of unentangled ones on a bipartite system by means of dynamical boundary conditions. The auxiliary system is defined by a symmetric but not self-adjoint Hamiltonian and the space of self-adjoint extensions of the bipartite system is studied. It is shown that only a small set of them leads to separable dynamics and they are characterized. Various simple examples illustrating this phenomenon are discussed, in particular we will analyze the hybrid system consisting on a planar quantum rotor and a spin system under a wide class of boundary conditions.