Hole burning in a nanomechanical resonator coupled to a Cooper pair box

TL;DR

This paper introduces a method to create holes in the excitation distribution of a nanomechanical resonator using a controllable coupling with a Cooper pair box, enabling the preparation of low excited Fock states.

Contribution

It presents a novel scheme for hole burning in a nanomechanical resonator coupled to a Cooper pair box, with analysis of success probability and fidelity.

Findings

Successful creation of holes in excitation distribution

Comparison of scheme performance with atom-field systems

Method for preparing low excited Fock states

Abstract

We propose a scheme to create holes in the statistical distribution of excitations of a nanomechanical resonator. It employs a controllable coupling between this system and a Cooper pair box. The success probability and the fidelity are calculated and compared with those obtained in the atom-field system via distinct schemes. As an application we show how to use the hole-burning scheme to prepare (low excited) Fock states.