Quantum simulators with Carbon Nanotubes

Abstract

Quantum electro-nanomechanics devices are becoming increasingly used as ultraprecise tools for quantum phenomena at the mesoscopic scale. Their potential applications are broad, ranging from quantum simulators of complex condensed matter physics to the study of new materials, but also showcasing the potential for quantum technologies. In this master thesis, the focus is put on a new platform consisting of carbon nanotubes suspended in leads and manipulated with external electric fields. The system bears similitudes to polaritonic physics, where now phonons are coupled to electrons. My master thesis work has explored in detail such systems. Firstly, understanding and reproducing analytically previous results concerning the interactions arising between different quantum dots suspended in carbon nanotubes. Secondly, we have extended previous analytical results making use of perturbation theory. Finally, we have introduced a novel model with the aim of extending previous one-dimensional studies to two-dimensional quantum simulators. Such a model offers the potential to implement quantum gates and opens the door to extend the use of nano-mechanical devices to quantum computation