Near-Kelvin Temperature Phonon Antibunching using Carbon Nanotubes

Abstract

This paper discusses the development of a novel setup to achieve Phonon Antibunching at near Kelvin temperaturesusing carbon nanotubes. A previously experimentally studied electro-mechanical single carbon nanotube setup is pro-posed to be modified by the addition of another coupled nanotube. This modified set-up is then described analytically,and low temperature approximations to the mechanical energy are used to obtain the quantum Hamiltonian. The sta-tionary Liouville-Von Neumann master equation is then used to demonstrate antibunching at near Kelvin temperaturesusing the proposed design. The achievement of phonon antibunching at such large temperatures suggests a deeperstudy into the use of carbon nanostructures in this field. It also brings the possibility of using phonon antibunching forquantum computing and sensors a step closer to reality.