Emergent Bell Phase in an Electro-Nanomechanical Quantum Simulator

TL;DR

This paper proposes a quantum simulator using coupled carbon nanotubes with quantum dots, demonstrating phonon-mediated electron interactions and a robust Bell phase, advancing the study of strongly correlated quantum systems.

Contribution

It introduces a feasible setup with two parallel nanotubes hosting multiple quantum dots, exhibiting novel entanglement and electron-phonon interactions for quantum simulation.

Findings

Demonstrates phonon-mediated electron-electron attraction.

Shows a robust, maximally entangled Bell phase.

Highlights potential for simulating strongly correlated systems.

Abstract

Suspended carbon nanotubes hosting electrostatically defined quantum dots allow for exceptionally strong and tunable electromechanical coupling as well as mechanical modes that can reach the quantum ground state of motion simply by cryogenic cooling. This makes them a unique platform for quantum simulation of electron-phonon coupling. Here, we propose an experimentally realisable setup with two such carbon nanotubes in parallel, each hosting four quantum dots. Our system not only exhibits phonon-mediated electron-electron attraction, but also supports a robust, maximally entangled Bell phase at mesoscopic scales shared across the subsystems. These features highlight its potential as a simulator of strongly correlated quantum systems.