Entanglement of nanoelectromechanical oscillators by Cooper-pair tunneling

TL;DR

This paper proposes a feasible experimental setup using a split Cooper-pair in a tunnel junction to generate entanglement between two macroscopic nanoelectromechanical oscillators, overcoming previous limitations of bath-mediated entanglement.

Contribution

It introduces an Andreev entangler setup that enables entanglement of nanomechanical oscillators via Cooper-pair tunneling, a novel approach compared to existing methods.

Findings

Entanglement can be generated through a split Cooper-pair tunneling process.

The scheme works in both Markovian and non-Markovian noisy environments.

It provides a practical pathway for observing dissipation-driven entanglement in condensed matter.

Abstract

We demonstrate that entanglement of two macroscopic nanoelectromechanical resonators -- coupled to each other via a common detector, a tunnel junction -- can be generated by running a current through the device. We introduce a setup that overcomes generic limitations of proposals suggesting to entangle systems via a shared bath. At the heart of the proposal is an Andreev entangler setup, representing an experimentally feasible way of entangling two nanomechanical oscillators. Instead of relying on the coherence of a (fermionic) bath, in the Andreev entangler setup, a split Cooper-pair that coherently tunnels to each oscillator mediates their coupling and thereby induces entanglement between them. Since entanglement is in each instance generated by Markovian and non-Markovian noisy open system dynamics in an out-of-equilibrium situation, we argue that the present scheme also opens up perspectives to observe dissipation-driven entanglement in a condensed-matter system.